Dr Michael Small
BSc (Hons) (UWA), PhD (UWA), MAustMS, MIEEE

Books
  1. M. Small. Information Technology and the Internet: The Kernel. McGraw-Hill, 2007. (ISBN 978-007-126567-6)
  2. M. Small. Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance. Nonlinear Science Series A, vol. 52. World Scientific, 2005. World Scientific . (ISBN 981-256-117-X) Contents
Book Chapters
  1. M. Small, C.K. Tse and X. Fu. "Transmission of infectious agents on networks." In: Análisis No Lineal De Series Temporales, ed. Grupo de Investigación Interdisciplinar en Sistemas Dinámicos, in press, 2008
  2. M. Small. "The Taxonomy of Time Series." In: New Nonlinear Phenomena Research, ed. Tamos B. Perlidze, pages 3-6 (Expert Commentary), Nova Science Publications, 2008. pdf Nova
  3. X. Luo, T. Nakamura and M. Small. "Surrogate data methods applied to nonlinear time series." In: Actas Primer Encountro Sobre Análisis No Lineal De Series Temporales, ed. Grupo de Investigación Interdisciplinar en Sistemas Dinámicos, pages 1-16, Reproducciones Gráficas Albacete, 2007 (ISBN 978-84-935535-3-1) pdf
  4. M. Small T. Nakamura and X. Luo. "Surrogate data methods for data that isn't linear noise." In: Nonlinear Phenomena Research Perspectives, ed. C.W. Wang, pages 55-81, Nova Science Publications, 2007. pdf Nova
  5. M. Small, R.G. Harrison and C.K. Tse. "A surrogate test for pseudo-periodic Time Series Data." In: Experimental Chaos, ed. S. Boccaletti et al., pages 190-195, American Institute of Physics, 2002. pdf
  6. K. Judd. M. Small and A.I. Mees. "Achieving Good Nonlinear Models: Keep it Simple, Vary the Embedding, and Get the Dynamics Right." In: Nonlinear Dynamics and Statistics, ed. A.I. Mees, pages 65-80, Birkhauser Boston, 2001.pdf
  7. M. Small, D.J. Yu and R.G. Harrison. "Non-stationarity as an embedding problem." In: Space Time Chaos: Characterization, Control and Synchronization, ed. S. Boccaletti et al., pages 3-18, World Scientific, 2001. pdf
Peer Reviewed Papers
  1. M.G. Knyazeva, C. Carmeli, E. Fornari, R. Meuli, M. Small, R.S. Frackowiak, and P. Maeder. "Binding under Conflict Conditions: State-Space Analysis of Multivariate EEG Synchronization" Journal of Cognitive Neuroscience (2010)
  2. H. Zhang, J. Zhang, C.S. Zhou, M. Small and B. Wang. "Hub nodes inhibit the outbreak of epidemic under voluntary vacciniation." New Journal of Physics (2010)
  3. H. Zhang, M. Small and X. Fu," Staged progression model for epidemic spread in homogeneous and heterogeneous networks." Journal of Systems Science and Complexity (2009).

  4. M. Small, H.P.C. Robinson, I. Kleppe and C.K. Tse. "Uncovering bifurcation patterns in cortical synapses." Journal of Mathematical Biology (2010) pdf.
  5. D.M. Walker, F.J. Pérez-Barberia, C. Carmeli, M. Small and E. Pérez-Fernández, "Inferring networks from multivariate symbolic time series to unravel behavioural interactions among animals," Animal Behavior 79 (2010): 351--359 pdf.
  6. K. Li, M. Small, H. Zhang, X. Fu. "Epidemic outbreaks on networks with effective contacts" Nonlinear Analysis: Real World Applications 11 (2010): 1017--1025 pdf.
  7. D.M. Walker, D. Allingham, H.W.J. Lee and M. Small, "Parameter Inference in Small World Network Disease Models with Approximate Bayesian Computational Methods," Physica A 389 (2010):540-548 pdf.
  8. X. Liu, C.K. Tse and M. Small, "Complex network structure of musical compositions: Algorithmic generation of appealing music" Physica A 389 (2010):126-132 pdf.
  9. J. Zhang, K. Zhang, X. Xu, C.K. Tse and M. Small,"Seeding the Kernels in Graphs: Towards Multi-resolution Community Analysis," New Journal of Physics 11 (2009):113003 pdf.
  10. X. Xu, J. Zhang, J. Sun and M. Small, "Revising the simple measures of assortativity in complex networks" Physical Review E 80 (2009): 056106 pdf.
  11. J. Zhou, W. W. Yu, X. Li, M. Small, and J. Lu, "Identifying the Topology of a Coupled FitzHugh-Nagumo Neurobioloigcal Network via a Pinning Mechanism" IEEE Transactions on Neural Networks 20 (2009):1679--1684 pdf
  12. J. Sun and M. Small, "Unified framework for detecting phase synchronisation in coupled time series" Physical Review E 80 (2009):046219 pdf
  13. H. Zhang, M. Small, X. Fu, B.H. Wang, "Dynamical behavior of epidemic on complex networks with population mobility." Chinese Physics B 18 (2009):3633-3608 pdf
  14. H. Zhang, M. Small and X. Fu, "Different epidemic models on complex networks" Communications in Theoretical Physics 52 (2009):180-184 pdf
  15. K. Li, M. Small, K. Wang and X. Fu, "Three structural properties reflecting the synchronizability of complex networks."Physical Review E 79 (2009):067201 pdf
  16. X. Li, J. Zhang, M. Small. "Self-organisation of a neural network with heterogeneous neurons enhances conherence and stochastic resonance". Chaos 19 (2009): 013126 pdf.
  17. X. Xu, J. Zhang and M. Small. "Superfamily phenomena and motifs of networks induced from time series." Proceedings of the National Academy of Sciences of the United States of America 105 (2008): 19601-19605 pdf
  18. J. Zhou, X. Xu, J. Zhang, J. Sun, M. Small, and J. Lu. "Generating an assortative network with a given degree distribution." International Journal of Bifurcations and Chaos 18 (2008):3495-3502 pdf
  19. J. Zhou, X. Wu, W. Yu, M. Small and J. Lu. "Pinning synchronization of delayed neural networks." Chaos 18 (2008): 043111. pdf
  20. K. Li, M. Small and X. Fu. "Generation of clusters in complex networks via pinning control." Journal of Physics A 41 (2008): 505101. pdf
  21. J. Zhang, J. Sun, X. Luo K. Zhang, T. Nakamura, and M. Small "Characterizing pseudoperiodic time series through complex network approach." Physica D 237 (2008):2856--2865. pdf
  22. M. Small, X. Xu, J. Zhou, J. Zhang, J. Sun and J. Lu. "Scale-free networks with high assortativity are not small-world." Physical Review E 77 (2008):066112 pdf
  23. J. Sun, J. Zhang, J. Zhou, X, Xu and M. Small. "Detecting phase synchronization in noisy data from coupled chaotic oscillators." Physical Review E 77 (2008):046213 pdf
  24. H. Zhang, M. Small and X. Fu, "Global behavior of spreading of epidemics on heterogenous networks via two distinct routes." Nonlinear Biomedical Physics 2 (2008):2 pdf
  25. X. Fu, M. Small, D.M. Walker and H. Zhang. "Epidemic dynamics on scale-free networks with piecewise linear infectivity and immunization." Physical Review E 77 (2008):036113 pdf
  26. J. Sun, J. Zhang and M. Small. "Extension of the local subspace method to enhancement of speech with coloured noise." Signal Processing 88 (2008):1881-1888. pdf
  27. Y. Zhao, J. Sun and M. Small. "Evidence consistent with deterministic chaos in human cardiac data: Surrogate and nonlinear dynamical modeling." International Journal of Bifurcations and Chaos 18 (2008):141-160. pdf
  28. X.D. Luo, M. Danca, M. Small and G.R. Chen. "On a dynamical system with multiple chaotic attractors." International Journal of Bifurcations and Chaos 17 (2007):2235-2251. pdf
  29. K. Li, M. Small and X. Fu. "Contraction stability and transverse stability of synchronization in complex networks." Physical Review E 76 (2007):056213. pdf
  30. M. Small, D.M. Walker and C.K. Tse. "Scale free distribution of avian influenza outbreaks." Physical Review Letters 99 (2007):188702. Reprinted in Virtual Journal of Biological Physics Research 14 (2007). pdf
  31. M. Romera, M. Small, and M. Danca. "Deterministic and random synthesis of discrete chaos." Applied Mathematics and Computation 192 (2007):283--297. pdf
  32. J. Sun, Y. Zhao, J. Zhang, X. Luo and M. Small. "Reducing coloured noise for chaotic time series in the local phase space." Physical Review E 76 (2007):026211. pdf
  33. T. Nakamura, Y. Hirata, K. Judd, D. Kilminster and M. Small. "Improved parameter estimation from noisy time series for nonlinear dynamical systems." International Journal of Bifurcations and Chaos 17 (2007):1741-1752. pdf
  34. J. Sun, Y. Zhao, T. Nakamura and M. Small. "From phase space to frequency domain: A time-frequency analysis for chaotic time series." Physical Review E 76 (2007):016220. pdf
  35. M. Small. "Estimating the distribution of dynamic invariants: Illustrated with an application to human photo-plethysmographic time series" Nonlinear Biomedical Physics 1 (2007):8 pdf
  36. T. Nakamura and M. Small. "Correlation structures in short term variabilities of stock indices and exchange rates." Physica A 383 (2007):96-101. pdf
  37. T. Nakamura and M. Small. "Testing for random walk." Physics Letters A 362 (2007):189-197. pdf
  38. T. Nakamura and M. Small. "Tests of the random walk hypothesis for financial data." Physica A 377 (2007):599-615. pdf
  39. J. Zhang, X.D. Luo, T. Nakamura, J. Sun, M. Small. "Detecting temporal and spatial correlations in pseudo-periodic time series." Physical Review E 75 (2007):016218. pdf
  40. T. Nakamura and M. Small. "Applying the method of Small-Shuffle surrogate data: Testing for dynamics in fluctuating data with trends." International Journal of Bifurcations and Chaos 16 (2006):3581-3603. pdf
  41. D.M. Walker and M. Small. "Detecting unstable fixed points using Kalman filters with constraints." IEEE Transactions on Circuits and Systems I 53 (2006):2818-2827. pdf
  42. T. Nakamura and M. Small. "Nonlinear dynamical system identification with dynamic noise and observational noise." Physica D 223 (2006):54-68. pdf
  43. T. Nakamura, Y. Hirata and M. Small. "Testing for correlation structures in short-term variabilities with long-term trends of multivariate time series." Physical Review E 74 (2006):041114. pdf
  44. T. Nakamura, M. Small and Y. Hirata. "Testing for nonlinearity in irregular fluctuations with long term trends." Physical Review E 74 (2006):026205. pdf
  45. J. Zhang and M. Small. "Complex network from pseudoperiodic time series: Topology versus dynamics" Physical Review Letters 96 (2006):238701. Reprinted in Virtual Journal of Biological Physics Research 11 (2006).pdf
  46. Y. Xia, C.K. Tse, F.C.M. Lau, W.M. Tam and M. Small. "Analysis of telephone network traffic based on a complex user network." Physica A 368 (2006):583-594. pdf
  47. T. Nakamura and M. Small. "Testing for dynamics in the irregular fluctuations of financial data." Physica A 366 (2006): 377-386. pdf
  48. M. Small, C.K. Tse and D. Walker. "Super-spreaders and the rate of transmission of the SARS virus." Physica D 215 (2006):146-158. pdf
  49. J. Zhang, X.D. Luo and M. Small. "Detecting chaos in pseudoperiodic time series without embedding." Physical Review E 73 (2006):016216. pdf
  50. Y. Zhao, M. Small, D. Coward, E. Howell, C.N. Zhao, L. Ju, and D.G. Blair. "Identifying deterministic signals in simulated gravitational wave data: Algorithmic complexity and surrogate data method" Classical and Quantum Gravity 23 (2006):1801-1814. pdf
  51. Y. Zhao and M. Small. "Minimum description length criterion for modeling of chaotic attractors with multilayer perceptron networks." Transactions on Circuits and Systems I 53 (2006):722-732. pdf
  52. T. Nakamura, K. Judd, A. Mees and M. Small. "A comparative study of information criteria for model selection." International Journal of Bifurcations and Chaos 16 (2006): 2153-2175. pdf
  53. T. Nakamura and M. Small. "Modelling nonlinear time series using improved least squares method." International Journal of Bifurcations and Chaos 16 (2006):445-464. pdf
  54. J. Zhang, M. Small and K. Zhang. "Chaos inducement and enhancement in two particular nonlinear maps using weak periodic/quasiperiodic perturbations." International Journal of Bifurcations and Chaos, 16 (2006):1585-1598. pdf
  55. T. Nakamura and M. Small. "Small-shuffle surrogate data: Testing for dynamics in fluctuating data with trends." Physical Review E 72 (2005):056216. pdf
  56. T. Nakamura, X.D. Luo and M. Small. "Testing for nonlinearity in time series without the Fourier transform." Physical Review E 72 (2005):055201(R). pdf
  57. X.D. Luo, J. Zhang and M. Small. "Optimal phase space projection for noise reduction." Physical Review E 72 (2005):046710. pdf
  58. Y. Xia, C.K. Tse, W.M. Tam, F.C.M. Lau and M. Small. "Scale-free user-network approach to telephone network traffic analysis" Physical Review E 72 (2005):026116. pdf
  59. Y. Zhao and M. Small. "Equivalence between 'Feeling the pulse' on human wrist and pulse pressure wave at fingertip." International Journal of Neural Systems 15 (2005):277-286. pdf
  60. Y. Zhao, C.N. Zhao, L. Ju, M. Small and D.G. Blair. "Telemetry system driven by radiation power fo use in gravitational wave detectors." Review of Scientific Instruments 76 (2005):084503. pdf
  61. M. Small and C.K. Tse. "Small world and scale free model of transmission of SARS" International Journal of Bifurcations and Chaos 15 (2005):1745-1755. pdf
  62. X.D. Luo, T. Nakamura and M. Small. "Surrogate test to distinguish chaotic and pseudoperiodic time series." Physical Review E 71 (2005):026230. Reprinted in Virtual Journal of Biological Physics Research 9 (2005). pdf
  63. M. Small and C.K. Tse. "Clustering model for tranmsmission of the SARS virus: Application to epidemic control and risk assesment." Physica A 351 (2005):499-511. pdf
  64. M. Small, P.L. Shi and C.K. Tse. "Plausible models for propagation of the SARS virus." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E87-A (2004):2379-2386. pdf arXiv
  65. M. Small and C.K. Tse. "Optimal embedding: A modelling paradigm." Physica D 194 (2004):283-296 pdf arXiv
  66. M. Small, C.K. Tse and F.C.M. Lau. "Chaos communication using chaos." Dynamics of Continuous Discrete and Impulsive Systems. Series B, Applications & Algorithms 11A (2004):104-111 pdf
  67. M. Small, D.J. Yu and R.G. Harrison. "Observation of a period doubling bifurcation during onset of human ventricular fibrillation." International Journal of Bifurcations and Chaos 13 (2003):743-754. pdf World Scientfic
  68. M. Small and C.K. Tse. "Determinism in financial time series." Studies in Nonlinear Dynamics and Econometrics 7 (2003): no. 3, art. 5. pdf bepress
  69. M. Small and C.K. Tse. "Detecting determinism in time series: The method of surrogate data." IEEE Transactions on Circuits and Systems I 50 (2003):663-672 pdf
  70. M. Small and C.K. Tse. "Minimum description length neural networks for time series prediction." Physical Review E 66 (2002), 066701. Reprinted in Virtual Journal of Biological Physics Research 4 (2002). pdf
  71. M. Small and C.K. Tse. "Applying the method of surrogate data to cyclic time series." Physica D 164 (2002):187-201. pdf Elsevier
  72. M. Small, K. Judd and A. Mees. "Modeling continuous processes from data." Physical Review E 65 (2002):046704. pdf
  73. M. Small, D.J. Yu, J. Simonotto, R.G. Harrison, N. Grubb and K.A.A. Fox. "Uncovering nonlinear structure in human ECG recordings." Chaos, Solitons and Fractals, 13 (2002):1755-1762. pdf Elsevier
  74. M. Small, D.J. Yu and R.G. Harrison. "A surrogate test for pseudoperiodic time series data." Physical Review Letters, 87 (2001):188101. Reprinted in Virtual Journal of Biological Physics Research 2 (2001). pdf
  75. M. Small, D.J. Yu, R. Clayton, T. Eftestol, K. Sunde, P.A. Steen and R.G. Harrison. "Temporal evolution of nonlinear dynamics in ventricular arrhythmia." International Journal of Bifurcations and Chaos, 11 (2001):2531-2548. pdf World Scientific
  76. M. Small, D.J. Yu and R.G. Harrison. "Variation in the dominant period during ventricular fibrillation." IEEE Transactions on Biomedical Engineering , 48 (2001):1056-1061. pdf
  77. M. Small, K. Judd and A. Mees. "Testing time series for nonlinearity" Statistics and Computing, 11 (2001): 257-268. pdf
  78. M. Small, D.J. Yu, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Deterministic nonlinearity in ventricular fibrillation." Chaos, 10 (2000): 268-277. Reprinted in Virtual Journal of Biological Physics Research 1 (2000). pdf
  79. D.J. Yu, M. Small, R.G. Harrison and C. Diks. "Efficient implementation of the Gaussian kernel algorithm in estimating invariants and noise level from noisy time series data." Physical Review E, 61 (2000): 3750-3756. pdf
  80. D.J. Yu, M. Small, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Measuring temporal complexity of ventricular fibrillation." Physics Letters A, 265 (2000): 68-75. pdf Elsevier
  81. K. Judd and M. Small. "Towards long-term prediction." Physica D, 136 (2000): 31-44. pdf Elsevier
  82. M. Small, K. Judd, M. Lowe and S. Stick. "Is breathing in infants chaotic? Dimension estimates for respiratory patterns during quiet sleep." Journal of Applied Physiology, 86 (1999): 359-376. pdf
  83. M. Small and K. Judd. "Detecting periodicity in experimental data using linear modeling techniques." Physical Review E, 59 (1999):1379-1385. pdf arXiv
  84. M. Small and K. Judd. "Correlation dimension: A pivotal statistic for non-constrained realizations using the method of surrogate analysis." Physica D, 120 (1998): 386-400. pdf Elsevier
  85. M. Small and K. Judd. "Comparison of new nonlinear modeling techniques with applications to infant respiration." Physica D, 117 (1998): 283-298. pdf Elsevier
  86. M. Small and K. Judd. "Detecting nonlinearity in experimental data." International Journal of Bifurcations and Chaos, 8 (1998): 1231-1244. pdf World Scientific
In preparation
  • X. Li and M. Small. "Emergence of a hierarchical network from synaptic plasticity" (2010) submitted
  • H. Zhang, J. Zhang, P. Li, M. Small and B. Wang. "Epidemics dynamics on complex networks under voluntary vaccination: complete versus incomplete information." (2010) submitted
  • H. Zhang, M. Small, H. Yang and B. Wang. "Adjusting learning motivation to promote cooperation" (2009) submitted
  • Q.C. Wu, M. Small, H. Zhang and X. Fu. "Epidemic outbreak in populations with individual variability" (2009) submitted
  • J. Zhou, W. W. Yu, X. Q. Wu, M. Small, and J. A. Lu, "Flocking of Multi-agent Dynamical Systems Based on Pseudo-leader Mechanism" (2008), submitted.
  • Y. Zhao, G. Zhang, J. Sun, M. Small and H.C. Iu. "Distribution criterion for large multilatyer neural networks with applicaiton of chaotic attractors modeling" (2007) submitted
  • D.M. Walker, G. Marion, H.W.J. Lee and M. Small. "Stochastic epidemiological model selection using description length." (2007) submitted
Other publications
  1. M. Small. "Report clear on global warming." South China Morning Post, Thursday, December 10 (2009) pdf
  2. M. Small. Review of (J. Gao et al. Multiscale analysis of complex time series. Integration of chaos and random fractal theory, and beyond. Wiley-Interscience [John Wiley & Sons], Hoboken, NJ, 2007) Mathematical Reviews MR2394592 (2009g:37066) (2009) MR
  3. M. Small. Review of (J. Andel et al. "Methods for calculating stationary distribution in linear models of time series." Statistics 41 (2007):279--287) Mathematical Reviews MR2369745 (2009b:62029) (2009) MR
  4. M. Small. "Bureau is responding to imaginary demons." South China Morning Post, Saturday, February 21 (2009) pdf
  5. M. Small. Review of (N. Laïb et al. "On residual empirical processes of GARCH-SM models: application to conditional symmetry tests." J. Time Ser. Anal. 29 (2008): 762--782.) Mathematical Reviews MR2450895 (2008). MR
  6. M. Small. "Complex network applications to the study of disease transmission." IEEE Circuits and Systems Society Newsletter, 2 February 2008, html
  7. M. Small. "The tip of the iceberg." South China Morning Post, Tuesday, May 22 (2007) pdf
  8. M. Small. "Combining local and global models to capture fast and slow dynamics in time series data." Lecture Notes in Computer Science, 3177 (2004):648-653 pdf Springer
  9. Y. Zhao and M. Small. "Deterministic propagation of blood pressure waveform from human wrists to fingertips." Lecture Notes in Computer Science, 3177 (2004):142-147 pdf Springer
  10. M. Small. "No evidence on storms." Sunday Morning Post, Sunday, September 26 (2004) pdf
  11. M. Small, D.J. Yu and R.G. Harrison. "Nonlinear Analysis Of Human ECG During Sinus Rhythm And Arrhythmia." Computers in Cardiology, 27 (2000): 147-150. pdf
  12. M. Small, D.J. Yu, N. Grubb, J. Simonotto, K. Fox and R.G. Harrison. "Automatic Identification And Recording Of Cardiac Arrhythmia." Computers in Cardiology, 27 (2000): 355-358. pdf
  13. M. Small, D.J. Yu, R. Clayton and R.G. Harrison. "Evolution Of Ventricular Fibrillation Revealed By First Return Plots." Computers in Cardiology, 27 (2000): 525-528. pdf
  14. M. Small. "Nonlinear dynamics in infant respiration." Bulletin of the Australian Mathematics Society, 60 (1999): 345-347.
  15. M. Small, D.J. Yu, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Characterizing nonlinearity in ventricular fibrillation." Computers in Cardiology, 26 (1999): 17-20. pdf
  16. D.J. Yu, M. Small, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Complexity measurements for analysis and diagnosis of early ventricular fibrillation." Computers in Cardiology , 26 (1999): 21-24. pdf
  17. R.H. Clayton, D.J. Yu, M. Small, V.N. Biktashev, R.G. Harrison, and A.V. Holden. "Linear and nonlinear characteristics of ECG signals produced by simulations of ventricular tachyarrhythmias." Computers in Cardiology, 26 (1999): 479-482. pdf
  18. M. Small, K. Judd and S. Stick. "Linear modelling techniques detect periodic respiratory behaviour in infants during regular breathing in quiet sleep." Am. J. Resp. Crit. Care Med., 153 (1996): A79.
Theses, Dissertations and Technical Reports
  1. J. Zhang, K. Zhang, J. Feng, J. Sun, X. Xu, M. Small. "Dynamics and Synchrony through Dimension Reduction" (2008) arxiv.
  2. X. Luo, J. Zhang, J. Sun, M. Small and I. Moroz. "Asymptotically pivotal statistic for surrogate test with extended hypothesis." (2007) arXiv
  3. X. Luo, J. Zhang, M. Small and I. Moroz. "Exact nonparametric inference for detection of nonlinearity." (2005) arXiv
  4. X. Luo and M. Small. "Geometric measures of redundance and irrelevance tradeoff coefficient to choose suitable delay times for continuous systems." (2004) arXiv
  5. M. Small. "Examining the distribution of dynamic invariants." (2003) arXiv
  6. M. Small. "Optimal time delay embedding for nonlinear time series modelling." (2003) arXiv
  7. P. Shi and M. Small. "Outbreak and control of SARS in Hong Kong: Analysis and prediction from an epidemic viewpoint." (2003) arXiv
  8. K. Judd and M. Small. "Towards long-term prediction." Centre for Applied Dynamics and Optimization, Department of Mathematics and Statistics, University of Western Australia, Technical Report, CADO2000:17 (2000).
  9. K. Judd and M. Small. "Achieving Good Nonlinear Models: Keep it Simple, Vary the Embedding, and Get the Dynamics Right." Centre for applied Dynamics and Optimization, Department of Mathematics and Statistics, University of Western Australia, Technical Report, CADO2000:02 (2000).
  10. M. Small, K. Judd and A. Mees. "Variable prediction steps and longer term prediction." Department of Mathematics, University of Western Australia, Technical Report, 1998.
  11. M. Small. "Deterministic nonlinear dynamics in infant respiration", Ph.D. Thesis, Department of Mathematics, University of Western Australia, 1998. pdf
  12. M. Small. "Thomas Harriot and the Garland of Invention." Honours Dissertation, Department of Mathematics, University of Western Australia, 1994.
Conference Proceedings
  1. X. Li, K. Morita, H. Robinson, M. Small, "Gamma-frequency Synaptic Input Enhances Multiplicative Gain Modulation of the Layer V Pyramidal Neuron Model" International Conference on Cognitive Neurodynamics (Hangzhou, 15-19 November 2009)
  2. M. Small and C. Carmeli, "Re-examination of evidence for low-dimensional chaos in the Canadian lynx data" International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Sapporo, 19-21 October 2009).
  3. X. Xu, J. Zhang, M. Small and J. Zhou. "Revising the simple measures of assortativity in complex networks". (), The 5th Chinese Conference on Complex Networks (Qingdao, 15-18 October 2009) (in Chinese) pdf
  4. M. Small, X Xu and J Zhang. TBA, Third International Symposium on Recurrence Plots (Montreal, 26-28 August 2009). Keynote Speaker
  5. M. Small, C. Carmeli, P. Bonifazi and H.P.C. Robinson , "Spatial organisation and synchronisation patterns during gamma oscillation in the rat cortex" World Congress on Bioengineering 2009 (Hong Kong, 26-29 July 2009)
  6. M. Small, X Xu and J Zhang. "Complex networks as a tool to study chaotic dynamical systems" 1st PRIMA (Pacific Rim Mathematical Association) Congress (Sydney, 6-10 July 2009)
  7. M. Small, "Complex networks as a tool for nonlinear time series analysis" The 3rd International Conference on Complex Systems and Applications (La Havre, 29 June - 2 July 2009). Special Session
  8. M. Small, "Disease propagation on complex networks: SARS and Avian Influenza" Workshop on Biomedical Signals and Systems Modelling (Hong Kong, 30 March 2009).
  9. X Liu, C.K. Tse and M. Small. "Composing music with complex networks" COMPLEX 2009 (Shanghai, 23-25 February 2009) pdf
  10. M. Small, X Xu and J Zhang. "Transforming time series into complex networks" COMPLEX 2009 (Shanghai, 23-25 February 2009) pdf presentation
  11. M. Small and C.K. Tse. "Feasible implementation of a prediction algorithm for the game of roulette." Asia Pacific Conference on Circuits and Systems, (Institute of Electrical and Electronic Engineers; Macau, 30 November-3 December 2008). pdf poster.
  12. X. Xu, J. Zhang, M. Small and J. Zhou. "Motifs and superfamily phenomena of networks induced from time series". (时间序列生成网络中的模体和超家族现象), The 4th Chinese Conference on Complex Networks (Beijing, 10-13 October 2008) (in Chinese) pdf
  13. J. Zhou, M. Small and J. Lu. "Flocking of multiple dynamic agents based on pseudo-leader mechanism". (基于伪领导者的多个动态智能体集群行为研究) The fourth Chinese Conference on Complex Networks (Beijing, 10-13 October 2008). (in Chinese) pdf
  14. M. Small and H.P.C. Robinson. "Chaos and bifurcation in a stochastic model of the calyx of Held". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf Special Session
  15. T. Nakamura, M. Small and H.P.C. Robinson. "Investigating features of irregular fluctuations of a cortical synapse data". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf Special Session
  16. C. Carmeli and M. Small. "Dynamical mechanisms underlying avian influenza outbreaks". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf Special Session
  17. X. Li, J. Zhang and M. Small. "Effect of heterogeneity for the self-organization of a neural network". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf Special Session
  18. J. Zhang, J. Sun, X. Xu and M. Small. "Time series classification by complex network transformation". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf Special Session
  19. C.K. Tse, X. Liu and M. Small. "Analyzing and composing music with complex networks: Finding structures in Bach, Chopin and Mozart". International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Budapest, Hungary, 7-10 September 2008). pdf
  20. M.G. Knyazeva, C. Carmeli, E. Fornari, R. Meuli, M. Small and P. Maeder. "Binding across space in time: Imaging the diamnond illusion with EEG S-estimator", Neuroscience 2008 (Washington, United State of America, November 15-19, 2008) pdf
  21. J. Sun, J. Zhang and M. Small. "A band-weighted method to detect phase synchronization in EEG", 10th Experimental Chaos Conference (Catania, Italy, 3-6 June 2008),
  22. C. Carmeli, P. Bonifazi, M. Small and H. Robinson. "Synchronization patterns in somatosensory cortex of rats in vitro during gamma oscillations", 6th Forum on European Neuroscience (FENS) (Geneva, Switzerland, 12-16 July 2008). pdf
  23. M. Small. "Transforming time series into networks", Análisis No Linear de Series Temporales (La Manga Del Mar Menor, Spain, 4-6 October 2007). pdf Guest Lecturer
  24. M. Small. "Diseases on networks", Análisis No Linear de Series Temporales (La Manga Del Mar Menor, Spain, 4-6 October 2007). pdf Guest Lecturer
  25. M. Small, D.M. Walker and C.K. Tse. "Network models for disease propagation." Heatlh Research Symposium, (Hong Kong Health Authority; Hong Kong Academy of Medicine, Aberdeen, 29 Septembet 2007). poster
  26. M. Small, X. Xu and J. Zhou, "Scale-Free Networks with High Assortativity are not Small-World," The 3rd Chinese Conference on Complex Networks and The Workshop on Complex Networks (Shanghai, China, November–December 2007). (in Chinese)
  27. M. Small, D.M. Walker and C.K. Tse. "Scale-free model for spatio-temporal distribution of outbreaks of avian influenza", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Vancouver, Canada, 16-19 September 2007). pdf Special Session
  28. J. Sun and M. Small. "A  Time-Frequency  method  for  Chaotic  Flow", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Vancouver, Canada, 16-19 September 2007). pdf
  29. M. Small and J. Zhang. "Connecting nonlinear time series and complex networks", Dynamics Days Europe, (American Institute of Phyiscs; Loughborough, United Kingdom, 9-13 July 2007). pdf Special Session
  30. M. Small D.M. Walker and C.K. Tse. "Scaling properties and the global transmission of avian influenza", Dynamics Days Europe, (American Institute of Phyiscs; Loughborough, United Kingdom, 9-13 July 2007). pdf poster
  31. J. Zhang, J. Sun and M. Small. "Nonlinear time series analysis of single-scroll Chua circuit" (单涡卷蔡氏电路的非线性时间序列分析), 2007 China Symposium on Circuits and Systems, (Guangzhou, China, 15-17 June 2007). pdf Special Session (in Chinese)
  32. M. Small, D.M. Walker, C.K. Tse and X. Fu. "Scale free distribution of avain influenza outbreaks" (禽流感爆发的无标度分布), 2007 China Symposium on Circuits and Systems, (Guangzhou, China, 15-17 June 2007). pdf Special Session (in Chinese)
  33. J. Sun and M. Small. "A local subspace method to reduce coloured noise for chaotic time series", Second International Conference on Recent Advances in Applied Dynamical Systems, (Shanghai Society for Nonlinear Science, Shanghai, China, 6-10 June 2007). pdf
  34. M. Small, C.K. Tse, H. Robinson and I. Kleppe. "Ensemble models of bifurcation phenomena in cortical synapses", Second International Conference on Recent Advances in Applied Dynamical Systems, (National Natural Science Foundation of China; Jinhua, China, 4-8 June 2007). pdf Invited Speaker
  35. Tomomichi Nakamura and M. Small. "Tests of the Random Walk Hypothesis for Australian Financial Data", Australia and New Zealand Industrial and Applied Mathematics (Australian Mathematical Society; Fremantle, Australia, 28 January-1 February 2007)
  36. Tomomichi Nakamura and M. Small. "Testing for Correlation Structures in Short Term Variabilities of Stock Indices and Exchange Rates", Econophysics Colloquium 2006 and Third Bonzenfri Colloquium (Social Science Research Institute, International Christian University; Tokyo, Japan, 23-25 November 2006) pdf
  37. X. Luo, J. Zhang and M. Small. "Singular value decomposition with time constraints for noise reduction", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). pdf Special Session
  38. J. Zhang, X. Luo and M. Small. "Chaotic correlations among cycles in human electrocardiogram", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). pdf Special Session
  39. T. Nakamura, M. Small and Y. Hirata. "Testing for nonlinearity in irregular fluctuations with long term trends", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). pdf Special Session
  40. Y. Zhao and M. Small. "Deterministic chaos of human cardiac signals", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). pdf Special Session
  41. D.M. Walker, H.W.J. Lee and M. Small. "Kalman filters to investigate the limitations of SIR disease models", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). pdf Special Session
  42. M. Small. "Nonlinear time series analysis I: Coupling in mutlivariate systems", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). Special Session Organiser
  43. M. Small. "Nonlinear time series analysis II: Quantifying nonlinearity and building models", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bologna, Italy, 11-14 September 2006). Special Session Organiser
  44. M. Small. "Inferring epidemiological control strategies from complex network models of disease propagation", World Congress on Intelligent Control and Automation (Institute of Electrical and Electronic Engineers; Dalian, China, 21-23 June 2006). pdf Special Session
  45. M. Small. "Complex network models of disease transmission: Simulation and control", International Symposium on Complexity Modelling and its Applications (Aihara Complexity Modelling Project; Tokyo, Japan, 21-23 November 2005) pdf Invited Speaker
  46. W.M. Tam, F.C.M. Lau. C.K. Tse, Y. Xia and M. Small. "Traffic analysis of a mobile communication system based on a scale-free user network", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). pdf
  47. Y. Xia, C.K. Tse, W.M. Tam, F.C.M. Lau and M. Small. "Telephone traffic analysis based on a scale-free user network", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). pdf
  48. X. Luo, J. Zhang and M. Small. "Nonparametric rank test for nonlinearity detection", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). pdf Special Session
  49. T. Nakamura, M. Small, Y. Hirata and K. Aihara. "Small-shuffle surrogate method and its application", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). pdf Special Session
  50. M. Small. "Nonlinear time series analysis I", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). Special Session Organiser
  51. M. Small. "Nonlinear time series analysis II", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Bruges, Belgium, 18-21 October 2005). Special Session Organiser
  52. M. Small. "Statistical tests for 'interesting' dynamics in time series", Análisis No Linear de Series Temporales (Universidad Poltécnica de Albacete; 27-29 September 2005, Albacete, Spain) Guest Lecturer pdf
  53. M. Small. "Which model is best? Embedding and model selections", Análisis No Linear de Series Temporales (Universidad Poltécnica de Albacete; 27-29 September 2005, Albacete, Spain) Guest Lecturer pdf
  54. M. Small. "Three examples: Finance, Physiology and Epidemiology", Análisis No Linear de Series Temporales (Universidad Poltécnica de Albacete; 27-29 September 2005, Albacete, Spain) Guest Lecturer pdf
  55. M. Small, C.K. Tse and T. Ikeguchi. "Chaotic dynamics and simulation of Japanese vowel sounds", European Conference on Circuit Theory and Design (European Circuit Society and the Institute of Electrical and Electronic Engineers; Cork, Ireland, 29 August-1 September 2005) pdf.
  56. M. Small. "Getting the embedding right", Topical Problems of Nonlinear Wave Physics (Institute of Applied Physics, Russian Academy of Sciences; St. Petersburg-Nizhny Novgorod, Russian Federation, 2-9 August 2005) pdf Invited Speaker
  57. M. Small. "Complex network models of disease transmission: SARS in Hong Kong", International Workshop on Complex Systems and Networks (Centre for Chaos Control and Synchronization, City University of Hong Kong; Hong Kong, 20 May 2005) Invited Speaker
  58. M. Small. "Surrogate data surrogates for models", International Symposium on Complexity Modelling and its Applications (Aihara Complexity Modelling Project; Tokyo, Japan, 5-8 December 2004) pdf Invited Speaker
  59. X. Luo, T. Nakamura and M. Small. "Surrogate generation algorithm for pseudoperiodic time series", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Fukuoka, Japan, 29 November-3 December 2004). pdf
  60. T. Nakamura and M. Small. "Modelling for nonlinear time series using improved least squares method", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Fukuoka, Japan, 29 November-3 December 2004). pdf
  61. M. Small and C.K. Tse. "Modelling the SARS outbreak in Hong Kong with small world or scale free networks", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Fukuoka, Japan, 29 November-3 December 2004). pdf
  62. M. Small. "Attractor trajectory surrogates: Hypothesis testing and prediction", International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Fukuoka, Japan, 29 November-3 December 2004). pdf Special Session
  63. Z. Yi and M. Small. "Deterministic propagation of blood pressure waveform from human wrists to fingertips " IDEAL 2004 (IEEE Neural Networks Society, Exeter, United Kingdom, 25-27 August 2004) pdf
  64. M. Small. "Combining local and global models to capture fast and slow dynamics in time series data" IDEAL 2004 (IEEE Neural Networks Society, Exeter, United Kingdom, 25-27 August 2004) pdf
  65. M. Small. "Double embedding for local prediction, nonlinear modelling and simulation" Asia Oceania Geosciences Society Meeting (Asia Oceania Geosciences Society, Singapore, 5-9 July 2004) pdf abstract Special Session
  66. X. Luo and M. Small. "A new algorithm to choose time delay for time delay embedding reconstruction" Dynamics Days Asia-Pacific (Singapore, 30 June-2 July 2004) poster
  67. M. Small. "Estimating the distribution of dynamic invariants with attractor surrogates" Dynamics Days Asia-Pacific (Singapore, 30 June-2 July 2004) pdf
  68. M. Small, C.K. Tse and P. Shi. "Novel complex network model of SARS transmission dynamics" Hospital Authority Convention and Hong Kong SARS Forum (Hong Kong Health Authority, Hong Kong, 8-11 May 2004) pdf
  69. M. Small and C.K. Tse. "Selection of embedding parameters for nonlinear models: Application to physiological time series data" Shanghai International Symposium on Nonlinear Science and Applications (Shanghai Society of Biophysics, Shanghai, 9-13 November 2003) pdf
  70. M. Small, C.K. Tse and F.C.M. Lau. "Chaos communication using chaos" Asia-Pacific Workshop on Chaos Control and Synchronisation (Centre for Chaos Control and Synchronisation, Shanghai, 7-8 November 2003) pdf
  71. G. Kolumban, F.C.M. Lau and M. Small. "A new description of chaotic waveform communications: The Fourier analyzer approach" European Conference on Circuits Theory and Design (European Circuit Society and the Institute of Electrical and Electronic Engineers; Krakow, Poland, 1-4 September 2003) pdf
  72. M. Small and C.K. Tse. "Optimal selection of embedding parameters for time series modelling" European Conference on Circuits Theory and Design (European Circuit Society and the Institute of Electrical and Electronic Engineers; Krakow, Poland, 1-4 September 2003) pdf Special Session
  73. M. Small and C.K. Tse. "Evidence for deterministic nonlinear dynamics in financial indicators time series data" International Conference on Computational Intelligence for Financial Engineering, (Institute of Electrical and Electronic Engineers Neural Network Society; Hong Kong, 21-23 March 2003). pdf
  74. M. Small and C.K. Tse. "Deterministic dynamics in financial indicators?" International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Xi'an, China, 7-11 October 2002). pdf Special Session
  75. M. Small and C.K. Tse. "Detecting determinism in time series data: When should we bother to build models?" International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Xi'an, China, 7-11 October 2002). pdf Special Session
  76. M. Small and C.K. Tse. "Nonlinear models for characterisation and prediction of noisy chaotic time series" Dynamics Days Europe 2002, (Heidelberg, Germany, 15-19 July 2002). poster
  77. Z. Li, T. Ikeguchi and M. Small. "Nonlinear analysis of Chinese vowels" Proceedings of the 2002 IEICE General Conference, (2002):57, (Institute of Electronics, Information and Communication Engineers; Waseda University, Japan, 27-30 March 2002). pdf (in Japanese, 2002)
  78. M. Small, R.G. Harrison and C.K. Tse. "A Surrogate Test for Inter-Cycle Determinism in Oscillatory Time Series Data" International Symposium on Nonlinear Theory and its Applications, (Institute of Electronics, Information and Communication Engineers; Miyagi, Japan, 28 October-1 November 2001). pdf Special Session
  79. M. Small, R.G. Harrison and C.K. Tse. "A surrogate test for pseudo-periodic time series data" The 6th Experimental Chaos Conference, (American Institute of Physics; Potsdam, Germany, 22-26 June 2001). pdf
  80. M. Small, D.J. Yu and R.G. Harrison. "Evidence of a Period Doubling Bifurcation Route to Chaos in Human Ventricular Fibrillation." (Poster) The 6th Experimental Chaos Conference, (US Office of Naval Research; Potsdam, Germany, 22-26 June 2001).
  81. M. Small, D.J. Yu and R.G. Harrison. "Nonlinear Analysis Of Human ECG During Sinus Rhythm And Arrhythmia." Computers in Cardiology, 27 (2000): 147-150. (IEEE Computer Society; Cambridge, Massachusetts, USA, 24-27 September 2000) pdf
  82. M. Small, D.J. Yu, N. Grubb, J. Simonotto, K. Fox and R.G. Harrison. "Automatic Identification And Recording Of Cardiac Arrhythmia." Computers in Cardiology, 27 (2000): 355-358. (IEEE Computer Society; Cambridge, Massachusetts, USA, 24-27 September 2000) pdf
  83. M. Small, D.J. Yu, R. Clayton and R.G. Harrison. "Evolution Of Ventricular Fibrillation Revealed By First Return Plots." Computers in Cardiology, 27 (2000): 525-528. (IEEE Computer Society; Cambridge, Massachusetts, USA, 24-27 September 2000) pdf
  84. M. Small, D.J. Yu, R. Clayton and R.G. Harrison. "Temporal evolution analysis of complex nonlinear dynamics in computational simulations of ventricular arrhythmia." School on Space Time Chaos: Characterization, Control and Synchronization (Institute of Physics; Pamplona, Navarra, Spain, 19-23 June 2000).
  85. D.J. Yu, M. Small, J. Simonotto and R.G. Harrison. "Nonlinear Data Analysis of Ventricular Fibrillation." EPSRC Network workshop on Tools for virtual tissue engineering (Leeds, UK, June 2000). Invited Speaker
  86. M. Small, D.J. Yu, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Characterizing nonlinearity in ventricular fibrillation." Computers in Cardiology, 26 (1999): 17-20. (IEEE Computer Society; Hannover, Germany, 26-29 September 1999) pdf
  87. D.J. Yu, M. Small, R.G. Harrison, C. Robertson, G. Clegg, M. Holzer and F. Sterz. "Complexity measurements for analysis and diagnosis of early ventricular fibrillation." Computers in Cardiology , 26 (1999): 21-24. (IEEE Computer Society; Hannover, Germany, 26-29 September 1999) pdf
  88. R.H. Clayton, D.J. Yu, M. Small, V.N. Biktashev, R.G. Harrison, and A.V. Holden. "Linear and nonlinear characteristics of ECG signals produced by simulations of ventricular tachyarrhythmias." Computers in Cardiology, 26 (1999): 479-482. (IEEE Computer Society; Hannover, Germany, 26-29 September 1999) pdf
  89. M. Small and K. Judd. "Using surrogate data to test for nonlinearity in experimental data." International Symposium on Nonlinear Theory and its Applications, (1997): 1133-1136. (Institute of Electronics, Information and Communication Engineers; Waikiki, Hawaii, USA, 29 November-2 December, 1997) pdf Special Session
  90. M. Small, K. Judd and A. Mees. "Embedding as a Modelling Problem." International Symposium on Nonlinear Theory and its Applications , (1997). (Institute of Electronics, Information and Communication Engineers; Waikiki, Hawaii, USA, 29 November-2 December, 1997) Special Session
  91. M. Small, K. Judd and S. Stick. "Linear modelling techniques detect periodic respiratory behaviour in infants during regular breathing in quiet sleep." American Thoracic Society/American Lung Association Annual Meeting (American Thoracic Society/American Lung Association; New Orleans, Louisiana, USA, 11-14 May 1996)
Publications Research Career CV Links

Updated 29/12/09

Homepage: http://small.eie.polyu.edu.hk/
Research Group Homepage: http://www.eie.polyu.edu.hk/~cktse/NSR
Departmental Homepage: http://www.eie.polyu.edu.hk
University Homepage: http://www.polyu.edu.hk