Edit Profile (opens in new tab) Small, Michael Co-Author Distance Author ID: small.michael Published as: Small, Michael; Small, M. External Links: ORCID Documents Indexed: 105 Publications since 1998, including 3 Books and 7 Additional arXiv Preprints Co-Authors: 126 Co-Authors with 101 Joint Publications 4,149 Co-Co-Authors all top 5 Co-Authors 3 single-authored 21 Fu, Xinchu 9 Zhang, Haifeng 9 Zhang, Jie 9 Zhao, Yi 8 Tse, Chi Kong 8 Walker, David M. 7 Corrêa, Débora Cristina 7 Li, Kezan 7 Moore, Jack Murdoch 6 Judd, Kevin 6 Nakamura, Tomomichi 6 Stemler, Thomas 6 Wu, Qingchu 5 Algar, Shannon Dee 5 Jüngling, Thomas 5 Weng, Tongfeng 4 Yang, Huijie 3 Chen, Shanshan 3 Gu, Changgui 3 Harrison, Robert G. 3 Sun, Junfeng 3 Wang, Haiying 3 Xu, Xinjian 3 Yu, Dejin 3 Yu, Wenwu 2 Chen, Guanrong 2 Danca, Marius-Florin 2 Donner, Reik V. 2 Gong, Yongwang 2 Hou, Lvlin 2 Iu, Herbert Ho Ching 2 Jin, Zhen 2 Kurths, Jürgen 2 Lao, Songyang 2 Liu, Huaxiang 2 Lu, Junan 2 Luo, Xiaodong 2 Lymburn, Thomas 2 Ma, Zhongjun 2 Peng, Xiaolong 2 Peng, Xiaoyi 2 Shahriari, Zahra 2 Tan, Eugene 2 Wang, Binghong 2 Wang, Dong 2 Wang, Jun 2 Wu, Xiaoqun 2 Zhang, Kai 2 Zhou, Jin 2 Zou, Yong 1 Aguirre, Luis Antonio 1 Amigó, José María 1 Araújo Rios, Ricardo 1 Blair, David G. 1 Cavanagh, David 1 Chen, Changqing 1 Clegg, Gareth 1 Coward, David 1 de Godoy, Moacir F. 1 Ding, Yong 1 Donges, Jonathan F. 1 Eglen, Stephen J. 1 Fernandes de Mello, Rodrigo 1 Gale, Nicholas 1 Han, Xinyu 1 Hirata, Yoshito 1 Hodkiewicz, Melinda 1 Holzer, Michael 1 Howell, Eric 1 Hui, Pan 1 Ichinose, Genki 1 Jia, Zhen 1 Ju, Li 1 Karrech, Ali 1 Khor, Alexander 1 Kilminster, Devin 1 Kiss, István Z. 1 Kleppe, Ingo C. 1 Lee, Shui Shan 1 Leng, Hui 1 Li, Huiping 1 Li, Ping 1 Little, Michael 1 Liu, Lixiang 1 Liu, Zengrong 1 Liu, Zili 1 Loke, T. 1 Macau, Elbert E. N. 1 Marwan, Norbert 1 Mees, Alistair I. 1 Montanari, Arthur N. 1 Moreno, Yamir 1 Nicholas, Harry 1 Porras, Orlando 1 Portes, Leonardo L. 1 Regenauer-Lieb, Klaus 1 Robertson, Colin 1 Robinson, Hugh P. C. 1 Rodger, Jennifer 1 Rodriguez, Jeremy ...and 29 more Co-Authors all top 5 Serials 18 Chaos 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Physica D 8 Physica A 4 Physics Letters. A 4 Applied Mathematics and Computation 4 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Mathematical Biology 2 Information Sciences 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 International Journal of Engineering Science 1 Journal of the Franklin Institute 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Systems & Control Letters 1 Signal Processing 1 IEEE Transactions on Circuits and Systems. I: Fundamental Theory and Applications 1 Applied Mathematical Modelling 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Studies in Nonlinear Dynamics and Econometrics 1 New Journal of Physics 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Quantum Information Processing 1 World Scientific Series on Nonlinear Science. Series A 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Theoretical Physics 1 Journal of Theoretical Biology 1 IEEE Transactions on Circuits and Systems I: Regular Papers 1 Chapman & Hall/CRC Mathematical and Computational Biology Series all top 5 Fields 45 Biology and other natural sciences (92-XX) 38 Dynamical systems and ergodic theory (37-XX) 17 Statistics (62-XX) 16 Systems theory; control (93-XX) 14 Ordinary differential equations (34-XX) 12 Combinatorics (05-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 6 Information and communication theory, circuits (94-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Numerical analysis (65-XX) 1 History and biography (01-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 751 times in 565 Documents Cited by ▼ Year ▼ The impact of awareness on epidemic spreading in networks. Zbl 1331.92154 Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian 72 2012 Recurrence-based time series analysis by means of complex network methods. Zbl 1247.37086 Donner, Reik V.; Small, Michael; Donges, Jonathan F.; Marwan, Norbert; Zou, Yong; Xiang, Ruoxi; Kurths, Jürgen 54 2011 Superfamily phenomena and motifs of networks induced from time series. Zbl 1202.37118 Xu, Xiaoke; Zhang, Jie; Small, Michael 53 2008 Pinning synchronization of delayed neural networks. Zbl 1309.92018 Zhou, Jin; Wu, Xiaoqun; Yu, Wenwu; Small, Michael; Lu, Jun-an 31 2008 Applied nonlinear time series analysis. Applications in physics, physiology and finance. Zbl 1186.62109 Small, Michael 29 2005 Preferential imitation can invalidate targeted subsidy policies on seasonal-influenza diseases. Zbl 1411.92299 Zhang, Hai-Feng; Shu, Pan-Pan; Wang, Zhen; Tang, Ming; Small, Michael 27 2017 Propagation dynamics on complex networks. Models, methods and stability analysis. Zbl 1308.92005 Fu, Xinchu; Small, Michael; Chen, Guanrong 27 2014 Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems. Zbl 1374.37106 McCullough, Michael; Small, Michael; Stemler, Thomas; Iu, Herbert Ho-Ching 23 2015 Superinfection behaviors on scale-free networks with competing strains. Zbl 1262.34053 Wu, Qingchu; Small, Michael; Liu, Huaxiang 22 2013 Characterizing pseudoperiodic time series through the complex network approach. Zbl 1153.37447 Zhang, Jie; Sun, Junfeng; Luo, Xiaodong; Zhang, Kai; Nakamura, Tomomichi; Small, Michael 20 2008 Prevention of infectious diseases by public vaccination and individual protection. Zbl 1350.92054 Peng, Xiao-Long; Xu, Xin-Jian; Small, Michael; Fu, Xinchu; Jin, Zhen 18 2016 Epidemic outbreaks on networks with effective contacts. Zbl 1179.92051 Li, Kezan; Small, Michael; Zhang, Haifeng; Fu, Xinchu 18 2010 On a dynamical system with multiple chaotic attractors. Zbl 1185.37081 Luo, Xiaodong; Small, Michael; Danca, Marius-F.; Chen, Guanrong 17 2007 Review mechanism promotes knowledge transmission in complex networks. Zbl 1429.91178 Wang, Haiying; Wang, Jun; Small, Michael; Moore, Jack Murdoch 16 2019 Modeling the influence of information on the coevolution of contact networks and the dynamics of infectious diseases. Zbl 1401.92209 Zhang, Haifeng; Small, Michael; Fu, Xinchu; Sun, Guiquan; Wang, Binghong 16 2012 Characterizing system dynamics with a weighted and directed network constructed from time series data. Zbl 1345.37093 Sun, Xiaoran; Small, Michael; Zhao, Yi; Xue, Xiaoping 14 2014 Multiscale ordinal network analysis of human cardiac dynamics. Zbl 1404.92064 McCullough, M.; Small, M.; Iu, H. H. C.; Stemler, T. 14 2017 Flocking of multi-agent dynamical systems based on pseudo-leader mechanism. Zbl 1256.93018 Zhou, Jin; Wu, Xiaoqun; Yu, Wenwu; Small, Michael; Lu, Jun-an 13 2012 Interplay between collective behavior and spreading dynamics on complex networks. Zbl 1320.90010 Li, Kezan; Ma, Zhongjun; Jia, Zhen; Small, Michael; Fu, Xinchu 12 2012 Generation of clusters in complex dynamical networks via pinning control. Zbl 1152.93002 Li, Kezan; Small, Michael; Fu, Xinchu 11 2008 Comparing classical and quantum pageranks. Zbl 1373.81114 Loke, T.; Tang, J. W.; Rodriguez, J.; Small, M.; Wang, J. B. 11 2017 Comparisons of new nonlinear modeling techniques with applications to infant respiration. Zbl 1041.62523 Small, Michael; Judd, Kevin 10 1998 Adaptive cluster synchronization in networks with time-varying and distributed coupling delays. Zbl 1449.34256 Li, Kezan; Zhou, Jin; Yu, Wenwu; Small, Michael; Fu, Xinchu 10 2014 Deterministic and random synthesis of discrete chaos review article. Zbl 1193.37047 Romera, Miguel; Small, Michael; Danca, Marius-F. 10 2007 Optimal embedding parameters: a modelling paradigm. Zbl 1064.37061 Small, Michael; Tse, C. K. 9 2004 Threshold analysis of the susceptible-infected-susceptible model on overlay networks. Zbl 1457.92182 Wu, Qingchu; Zhang, Haifeng; Small, Michael; Fu, Xinchu 9 2014 Adaptive mechanism between dynamical synchronization and epidemic behavior on complex networks. Zbl 1318.34071 Li, Kezan; Fu, Xinchu; Small, Michael; Ma, Zhongjun 9 2011 Super-spreaders and the rate of transmission of the SARS virus. Zbl 1095.92064 Small, Michael; Tse, C. K.; Walker, David M. 8 2006 Towards long-term prediction. Zbl 0981.37037 Judd, Kevin; Small, Michael 8 2000 An exploration and simulation of epidemic spread and its control in multiplex networks. Zbl 1395.92166 Sun, Mengfeng; Small, Michael; Lee, Shui Shan; Fu, Xinchu 8 2018 Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis. Zbl 0956.62004 Small, Michael; Judd, Kevin 7 1998 The reservoir’s perspective on generalized synchronization. Zbl 1423.37035 Lymburn, Thomas; Walker, David M.; Small, Michael; Jüngling, Thomas 7 2019 A social communication model based on simplicial complexes. Zbl 1448.91219 Wang, Dong; Zhao, Yi; Leng, Hui; Small, Michael 7 2020 Evidence consistent with deterministic chaos in human cardiac data: surrogate and nonlinear dynamical modeling. Zbl 1144.92009 Zhao, Yi; Sun, Junfeng; Small, Michael 6 2008 Applying the method of surrogate data to cyclic time series. Zbl 1008.37048 Small, Michael; Tse, C. K. 6 2002 Influence of dynamic immunization on epidemic spreading in networks. Zbl 1395.92176 Wu, Qingchu; Fu, Xinchu; Jin, Zhen; Small, Michael 6 2015 Epidemic spreading on metapopulation networks including migration and demographics. Zbl 1396.92083 Gong, Yongwang; Small, Michael 6 2018 Risk estimation of infectious diseases determines the effectiveness of the control strategy. Zbl 1214.92048 Zhang, Haifeng; Zhang, Jie; Li, Ping; Small, Michael; Wang, Binghong 6 2011 Staged progression model for epidemic spread on homogeneous and heterogeneous networks. Zbl 1255.93024 Zhang, Haifeng; Small, Michael; Fu, Xinchu 6 2011 Different epidemic models on complex networks. Zbl 1169.92040 Zhang, Haifeng; Small, Michael; Fu, Xinchu 5 2009 Exactly scale-free scale-free networks. Zbl 1400.90075 Zhang, Linjun; Small, Michael; Judd, Kevin 5 2015 Cooperative output regulation problem of multi-agent systems with stochastic packet dropout and time-varying communication delay. Zbl 1402.93032 Liu, Zili; Yan, Weisheng; Li, Huiping; Small, Michael 5 2018 Detecting determinism in time series: the method of surrogate data. Zbl 1368.62247 Small, Michael; Tse, Chi K. 5 2003 Transmission dynamics of an SIS model with age structure on heterogeneous networks. Zbl 1398.92231 Chen, Shanshan; Small, Michael; Tao, Yizhou; Fu, Xinchu 5 2018 Oscillations and phase transition in the mean infection rate of a finite population. Zbl 1204.92063 Wu, Qingchu; Fu, Xinchu; Zhang, Haifeng; Small, Michael 5 2010 A comparative study of information criteria for model selection. Zbl 1192.37111 Nakamura, Tomomichi; Judd, Kevin; Mees, Alistair I.; Small, Michael 5 2006 Improved parameter estimation from noisy time series for nonlinear dynamical systems. Zbl 1185.37169 Nakamura, Tomomichi; Hirata, Yoshito; Judd, Kevin; Kilminster, Devin; Small, Michael 4 2007 Phase coherence and attractor geometry of chaotic electrochemical oscillators. Zbl 1319.92065 Zou, Yong; Donner, Reik V.; Wickramasinghe, Mahesh; Kiss, István Z.; Small, Michael; Kurths, Jürgen 4 2012 Mathematical methods in medicine: neuroscience, cardiology and pathology. Zbl 1404.92088 Amigó, José M.; Small, Michael 4 2017 Determinism in financial time series. Zbl 1080.91565 Small, Michael; Tse, Chi K. 4 2003 Dynamical diversity induced by individual responsive immunization. Zbl 1395.92177 Wu, Qingchu; Liu, Huaxiang; Small, Michael 4 2013 Deterministic nonlinearity in ventricular fibrillation. Zbl 0993.92021 Small, Michael; Yu, Dejin; Harrison, Robert G.; Robertson, Colin; Clegg, Gareth; Holzer, Michael; Sterz, Fritz 3 2000 Applying the method of Small-Shuffle surrogate data: testing for dynamics in fluctuating data with trends. Zbl 1117.37037 Nakamura, Tomomichi; Small, Michael 3 2006 Non-stationarity as an embedding problem. Zbl 1075.37533 Small, Michael; Yu, Dejin; Harrison, Robert G. 3 2001 Observation of a period doubling bifurcation during onset of human ventricular fibrillation. Zbl 1064.92508 Small, Michael; Yu, Dejin; Harrison, Robert G. 3 2003 Enhancing complex network controllability by minimum link direction reversal. Zbl 1345.93029 Hou, Lvlin; Lao, Songyang; Small, Michael; Xiao, Yandong 3 2015 Predator-prey games on complex networks. Zbl 1522.92054 Weng, Tongfeng; Yang, Huijie; Gu, Changgui; Zhang, Jie; Hui, Pan; Small, Michael 3 2019 Examining \(k\)-nearest neighbour networks: superfamily phenomena and inversion. Zbl 1361.37067 Khor, Alexander; Small, Michael 3 2016 Epidemic threshold determined by the first moments of network with alternating degree distributions. Zbl 1395.92153 Li, Kezan; Zhang, Haifeng; Fu, Xinchu; Ding, Yong; Small, Michael 3 2015 Modeling nonlinear time series using improved least squares method. Zbl 1116.37317 Nakamura, Tomomichi; Small, Michael 2 2006 Chaos inducement and enhancement in two particular nonlinear maps using weak periodic/quasiperiodic perturbations. Zbl 1185.37091 Zhang, Jie; Small, Michael; Zhang, Kai 2 2006 Temporal prediction of epidemic patterns in community networks. Zbl 1451.92308 Peng, Xiao-Long; Small, Michael; Xu, Xin-Jian; Fu, Xinchu 2 2013 Maximum entropy networks are more controllable than preferential attachment networks. Zbl 1303.93038 Hou, Lvlin; Small, Michael; Lao, Songyang 2 2014 Estimating the epidemic threshold on networks by deterministic connections. Zbl 1361.92068 Li, Kezan; Fu, Xinchu; Small, Michael; Zhu, Guanghu 2 2014 Modelling the effect of heterogeneous vaccination on metapopulation epidemic dynamics. Zbl 1490.92039 Gong, Yongwang; Small, Michael 2 2019 The active selfish herd. Zbl 1412.92322 Algar, Shannon Dee; Stemler, Thomas; Small, Michael 1 2019 Identifying deterministic signals in simulated gravitational wave data: algorithmic complexity and the surrogate data method. Zbl 1091.83500 Zhao, Yi; Small, Michael; Coward, David; Howell, Eric; Zhao, Chunnong; Ju, Li; Blair, David 1 2006 Estimating dynamical dimensions from noisy observations. Zbl 1447.62105 Moore, Jack Murdoch; Small, Michael 1 2018 Permutation entropy of state transition networks to detect synchronization. Zbl 1451.37104 Shahriari, Zahra; Small, Michael 1 2020 Quadrant scan for multi-scale transition detection. Zbl 1454.94028 Zaitouny, Ayham; Walker, David M.; Small, Michael 1 2019 Exploring the optimal network topology for spreading dynamics. Zbl 1527.92069 Wang, Dong; Small, Michael; Zhao, Yi 1 2021 Modeling chaotic systems: dynamical equations vs machine learning approach. Zbl 1502.37086 Weng, Tongfeng; Yang, Huijie; Zhang, Jie; Small, Michael 1 2022 The distinct roles of initial transmission and retransmission in the persistence of knowledge in complex networks. Zbl 1508.91430 Wang, Haiying; Moore, Jack Murdoch; Wang, Jun; Small, Michael 1 2021 Reservoir computing with swarms. Zbl 1459.37072 Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas 1 2021 Synchronization of reservoir computers with applications to communications. Zbl 07527213 Weng, Tongfeng; Song, Jia; Yang, Huijie; Gu, Changgui; Zhang, Jie; Small, Michael 1 2020 A general stochastic model for studying time evolution of transition networks. Zbl 1400.92562 Zhan, Choujun; Tse, Chi K.; Small, Michael 1 2016 The reliability of recurrence network analysis is influenced by the observability properties of the recorded time series. Zbl 1420.37112 Portes, Leonardo L.; Montanari, Arthur N.; Correa, Debora C.; Small, Michael; Aguirre, Luis A. 1 2019 Response of the parameters of a neural network to pseudoperiodic time series. Zbl 1286.37070 Zhao, Yi; Weng, Tongfeng; Small, Michael 1 2014 Uncovering bifurcation patterns in cortical synapses. Zbl 1204.92025 Small, Michael; Robinson, Hugh P. C.; Kleppe, Ingo C.; Tse, Chi Kong 1 2010 Representing complex networks without connectivity via spectrum series. Zbl 1527.05163 Weng, Tongfeng; Wang, Haiying; Yang, Huijie; Gu, Changgui; Zhang, Jie; Small, Michael 1 2021 Modeling chaotic systems: dynamical equations vs machine learning approach. Zbl 1502.37086 Weng, Tongfeng; Yang, Huijie; Zhang, Jie; Small, Michael 1 2022 Exploring the optimal network topology for spreading dynamics. Zbl 1527.92069 Wang, Dong; Small, Michael; Zhao, Yi 1 2021 The distinct roles of initial transmission and retransmission in the persistence of knowledge in complex networks. Zbl 1508.91430 Wang, Haiying; Moore, Jack Murdoch; Wang, Jun; Small, Michael 1 2021 Reservoir computing with swarms. Zbl 1459.37072 Lymburn, Thomas; Algar, Shannon D.; Small, Michael; Jüngling, Thomas 1 2021 Representing complex networks without connectivity via spectrum series. Zbl 1527.05163 Weng, Tongfeng; Wang, Haiying; Yang, Huijie; Gu, Changgui; Zhang, Jie; Small, Michael 1 2021 A social communication model based on simplicial complexes. Zbl 1448.91219 Wang, Dong; Zhao, Yi; Leng, Hui; Small, Michael 7 2020 Permutation entropy of state transition networks to detect synchronization. Zbl 1451.37104 Shahriari, Zahra; Small, Michael 1 2020 Synchronization of reservoir computers with applications to communications. Zbl 07527213 Weng, Tongfeng; Song, Jia; Yang, Huijie; Gu, Changgui; Zhang, Jie; Small, Michael 1 2020 Review mechanism promotes knowledge transmission in complex networks. Zbl 1429.91178 Wang, Haiying; Wang, Jun; Small, Michael; Moore, Jack Murdoch 16 2019 The reservoir’s perspective on generalized synchronization. Zbl 1423.37035 Lymburn, Thomas; Walker, David M.; Small, Michael; Jüngling, Thomas 7 2019 Predator-prey games on complex networks. Zbl 1522.92054 Weng, Tongfeng; Yang, Huijie; Gu, Changgui; Zhang, Jie; Hui, Pan; Small, Michael 3 2019 Modelling the effect of heterogeneous vaccination on metapopulation epidemic dynamics. Zbl 1490.92039 Gong, Yongwang; Small, Michael 2 2019 The active selfish herd. Zbl 1412.92322 Algar, Shannon Dee; Stemler, Thomas; Small, Michael 1 2019 Quadrant scan for multi-scale transition detection. Zbl 1454.94028 Zaitouny, Ayham; Walker, David M.; Small, Michael 1 2019 The reliability of recurrence network analysis is influenced by the observability properties of the recorded time series. Zbl 1420.37112 Portes, Leonardo L.; Montanari, Arthur N.; Correa, Debora C.; Small, Michael; Aguirre, Luis A. 1 2019 An exploration and simulation of epidemic spread and its control in multiplex networks. Zbl 1395.92166 Sun, Mengfeng; Small, Michael; Lee, Shui Shan; Fu, Xinchu 8 2018 Epidemic spreading on metapopulation networks including migration and demographics. Zbl 1396.92083 Gong, Yongwang; Small, Michael 6 2018 Cooperative output regulation problem of multi-agent systems with stochastic packet dropout and time-varying communication delay. Zbl 1402.93032 Liu, Zili; Yan, Weisheng; Li, Huiping; Small, Michael 5 2018 Transmission dynamics of an SIS model with age structure on heterogeneous networks. Zbl 1398.92231 Chen, Shanshan; Small, Michael; Tao, Yizhou; Fu, Xinchu 5 2018 Estimating dynamical dimensions from noisy observations. Zbl 1447.62105 Moore, Jack Murdoch; Small, Michael 1 2018 Preferential imitation can invalidate targeted subsidy policies on seasonal-influenza diseases. Zbl 1411.92299 Zhang, Hai-Feng; Shu, Pan-Pan; Wang, Zhen; Tang, Ming; Small, Michael 27 2017 Multiscale ordinal network analysis of human cardiac dynamics. Zbl 1404.92064 McCullough, M.; Small, M.; Iu, H. H. C.; Stemler, T. 14 2017 Comparing classical and quantum pageranks. Zbl 1373.81114 Loke, T.; Tang, J. W.; Rodriguez, J.; Small, M.; Wang, J. B. 11 2017 Mathematical methods in medicine: neuroscience, cardiology and pathology. Zbl 1404.92088 Amigó, José M.; Small, Michael 4 2017 Prevention of infectious diseases by public vaccination and individual protection. Zbl 1350.92054 Peng, Xiao-Long; Xu, Xin-Jian; Small, Michael; Fu, Xinchu; Jin, Zhen 18 2016 Examining \(k\)-nearest neighbour networks: superfamily phenomena and inversion. Zbl 1361.37067 Khor, Alexander; Small, Michael 3 2016 A general stochastic model for studying time evolution of transition networks. Zbl 1400.92562 Zhan, Choujun; Tse, Chi K.; Small, Michael 1 2016 Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems. Zbl 1374.37106 McCullough, Michael; Small, Michael; Stemler, Thomas; Iu, Herbert Ho-Ching 23 2015 Influence of dynamic immunization on epidemic spreading in networks. Zbl 1395.92176 Wu, Qingchu; Fu, Xinchu; Jin, Zhen; Small, Michael 6 2015 Exactly scale-free scale-free networks. Zbl 1400.90075 Zhang, Linjun; Small, Michael; Judd, Kevin 5 2015 Enhancing complex network controllability by minimum link direction reversal. Zbl 1345.93029 Hou, Lvlin; Lao, Songyang; Small, Michael; Xiao, Yandong 3 2015 Epidemic threshold determined by the first moments of network with alternating degree distributions. Zbl 1395.92153 Li, Kezan; Zhang, Haifeng; Fu, Xinchu; Ding, Yong; Small, Michael 3 2015 Propagation dynamics on complex networks. Models, methods and stability analysis. Zbl 1308.92005 Fu, Xinchu; Small, Michael; Chen, Guanrong 27 2014 Characterizing system dynamics with a weighted and directed network constructed from time series data. Zbl 1345.37093 Sun, Xiaoran; Small, Michael; Zhao, Yi; Xue, Xiaoping 14 2014 Adaptive cluster synchronization in networks with time-varying and distributed coupling delays. Zbl 1449.34256 Li, Kezan; Zhou, Jin; Yu, Wenwu; Small, Michael; Fu, Xinchu 10 2014 Threshold analysis of the susceptible-infected-susceptible model on overlay networks. Zbl 1457.92182 Wu, Qingchu; Zhang, Haifeng; Small, Michael; Fu, Xinchu 9 2014 Maximum entropy networks are more controllable than preferential attachment networks. Zbl 1303.93038 Hou, Lvlin; Small, Michael; Lao, Songyang 2 2014 Estimating the epidemic threshold on networks by deterministic connections. Zbl 1361.92068 Li, Kezan; Fu, Xinchu; Small, Michael; Zhu, Guanghu 2 2014 Response of the parameters of a neural network to pseudoperiodic time series. Zbl 1286.37070 Zhao, Yi; Weng, Tongfeng; Small, Michael 1 2014 Superinfection behaviors on scale-free networks with competing strains. Zbl 1262.34053 Wu, Qingchu; Small, Michael; Liu, Huaxiang 22 2013 Dynamical diversity induced by individual responsive immunization. Zbl 1395.92177 Wu, Qingchu; Liu, Huaxiang; Small, Michael 4 2013 Temporal prediction of epidemic patterns in community networks. Zbl 1451.92308 Peng, Xiao-Long; Small, Michael; Xu, Xin-Jian; Fu, Xinchu 2 2013 The impact of awareness on epidemic spreading in networks. Zbl 1331.92154 Wu, Qingchu; Fu, Xinchu; Small, Michael; Xu, Xin-Jian 72 2012 Modeling the influence of information on the coevolution of contact networks and the dynamics of infectious diseases. Zbl 1401.92209 Zhang, Haifeng; Small, Michael; Fu, Xinchu; Sun, Guiquan; Wang, Binghong 16 2012 Flocking of multi-agent dynamical systems based on pseudo-leader mechanism. Zbl 1256.93018 Zhou, Jin; Wu, Xiaoqun; Yu, Wenwu; Small, Michael; Lu, Jun-an 13 2012 Interplay between collective behavior and spreading dynamics on complex networks. Zbl 1320.90010 Li, Kezan; Ma, Zhongjun; Jia, Zhen; Small, Michael; Fu, Xinchu 12 2012 Phase coherence and attractor geometry of chaotic electrochemical oscillators. Zbl 1319.92065 Zou, Yong; Donner, Reik V.; Wickramasinghe, Mahesh; Kiss, István Z.; Small, Michael; Kurths, Jürgen 4 2012 Recurrence-based time series analysis by means of complex network methods. Zbl 1247.37086 Donner, Reik V.; Small, Michael; Donges, Jonathan F.; Marwan, Norbert; Zou, Yong; Xiang, Ruoxi; Kurths, Jürgen 54 2011 Adaptive mechanism between dynamical synchronization and epidemic behavior on complex networks. Zbl 1318.34071 Li, Kezan; Fu, Xinchu; Small, Michael; Ma, Zhongjun 9 2011 Risk estimation of infectious diseases determines the effectiveness of the control strategy. Zbl 1214.92048 Zhang, Haifeng; Zhang, Jie; Li, Ping; Small, Michael; Wang, Binghong 6 2011 Staged progression model for epidemic spread on homogeneous and heterogeneous networks. Zbl 1255.93024 Zhang, Haifeng; Small, Michael; Fu, Xinchu 6 2011 Epidemic outbreaks on networks with effective contacts. Zbl 1179.92051 Li, Kezan; Small, Michael; Zhang, Haifeng; Fu, Xinchu 18 2010 Oscillations and phase transition in the mean infection rate of a finite population. Zbl 1204.92063 Wu, Qingchu; Fu, Xinchu; Zhang, Haifeng; Small, Michael 5 2010 Uncovering bifurcation patterns in cortical synapses. Zbl 1204.92025 Small, Michael; Robinson, Hugh P. C.; Kleppe, Ingo C.; Tse, Chi Kong 1 2010 Different epidemic models on complex networks. Zbl 1169.92040 Zhang, Haifeng; Small, Michael; Fu, Xinchu 5 2009 Superfamily phenomena and motifs of networks induced from time series. Zbl 1202.37118 Xu, Xiaoke; Zhang, Jie; Small, Michael 53 2008 Pinning synchronization of delayed neural networks. Zbl 1309.92018 Zhou, Jin; Wu, Xiaoqun; Yu, Wenwu; Small, Michael; Lu, Jun-an 31 2008 Characterizing pseudoperiodic time series through the complex network approach. Zbl 1153.37447 Zhang, Jie; Sun, Junfeng; Luo, Xiaodong; Zhang, Kai; Nakamura, Tomomichi; Small, Michael 20 2008 Generation of clusters in complex dynamical networks via pinning control. Zbl 1152.93002 Li, Kezan; Small, Michael; Fu, Xinchu 11 2008 Evidence consistent with deterministic chaos in human cardiac data: surrogate and nonlinear dynamical modeling. Zbl 1144.92009 Zhao, Yi; Sun, Junfeng; Small, Michael 6 2008 On a dynamical system with multiple chaotic attractors. Zbl 1185.37081 Luo, Xiaodong; Small, Michael; Danca, Marius-F.; Chen, Guanrong 17 2007 Deterministic and random synthesis of discrete chaos review article. Zbl 1193.37047 Romera, Miguel; Small, Michael; Danca, Marius-F. 10 2007 Improved parameter estimation from noisy time series for nonlinear dynamical systems. Zbl 1185.37169 Nakamura, Tomomichi; Hirata, Yoshito; Judd, Kevin; Kilminster, Devin; Small, Michael 4 2007 Super-spreaders and the rate of transmission of the SARS virus. Zbl 1095.92064 Small, Michael; Tse, C. K.; Walker, David M. 8 2006 A comparative study of information criteria for model selection. Zbl 1192.37111 Nakamura, Tomomichi; Judd, Kevin; Mees, Alistair I.; Small, Michael 5 2006 Applying the method of Small-Shuffle surrogate data: testing for dynamics in fluctuating data with trends. Zbl 1117.37037 Nakamura, Tomomichi; Small, Michael 3 2006 Modeling nonlinear time series using improved least squares method. Zbl 1116.37317 Nakamura, Tomomichi; Small, Michael 2 2006 Chaos inducement and enhancement in two particular nonlinear maps using weak periodic/quasiperiodic perturbations. Zbl 1185.37091 Zhang, Jie; Small, Michael; Zhang, Kai 2 2006 Identifying deterministic signals in simulated gravitational wave data: algorithmic complexity and the surrogate data method. Zbl 1091.83500 Zhao, Yi; Small, Michael; Coward, David; Howell, Eric; Zhao, Chunnong; Ju, Li; Blair, David 1 2006 Applied nonlinear time series analysis. Applications in physics, physiology and finance. Zbl 1186.62109 Small, Michael 29 2005 Optimal embedding parameters: a modelling paradigm. Zbl 1064.37061 Small, Michael; Tse, C. K. 9 2004 Detecting determinism in time series: the method of surrogate data. Zbl 1368.62247 Small, Michael; Tse, Chi K. 5 2003 Determinism in financial time series. Zbl 1080.91565 Small, Michael; Tse, Chi K. 4 2003 Observation of a period doubling bifurcation during onset of human ventricular fibrillation. Zbl 1064.92508 Small, Michael; Yu, Dejin; Harrison, Robert G. 3 2003 Applying the method of surrogate data to cyclic time series. Zbl 1008.37048 Small, Michael; Tse, C. K. 6 2002 Non-stationarity as an embedding problem. Zbl 1075.37533 Small, Michael; Yu, Dejin; Harrison, Robert G. 3 2001 Towards long-term prediction. Zbl 0981.37037 Judd, Kevin; Small, Michael 8 2000 Deterministic nonlinearity in ventricular fibrillation. Zbl 0993.92021 Small, Michael; Yu, Dejin; Harrison, Robert G.; Robertson, Colin; Clegg, Gareth; Holzer, Michael; Sterz, Fritz 3 2000 Comparisons of new nonlinear modeling techniques with applications to infant respiration. Zbl 1041.62523 Small, Michael; Judd, Kevin 10 1998 Correlation dimension: A pivotal statistic for non-constrained realizations of composite hypotheses in surrogate data analysis. Zbl 0956.62004 Small, Michael; Judd, Kevin 7 1998 all cited Publications top 5 cited Publications all top 5 Cited by 1,165 Authors 49 Small, Michael 31 Fu, Xinchu 23 Wu, Qingchu 20 Jin, Zhen 12 Donner, Reik V. 12 Zhang, Haifeng 12 Zou, Yong 10 Kurths, Jürgen 10 Li, Kezan 9 Tanimoto, Jun 9 Zhao, Yi 8 Cao, Jinde 8 Chen, Guanrong 8 Danca, Marius-Florin 8 Gu, Changgui 8 Tang, Ming 8 Yang, Huijie 8 Yang, Junyuan 7 Kabir, K. M. Ariful 6 Guan, Gui 6 Han, Dun 6 Judd, Kevin 6 Nakamura, Tomomichi 6 Sun, Guiquan 6 Sun, Mengfeng 6 Weng, Tongfeng 6 Wu, Zhaoyan 6 Zhu, Hongmiao 5 Ding, Li 5 Donges, Jonathan F. 5 Feng, Jianwen 5 Guan, Shuguang 5 Hirata, Yoshito 5 Kengne, Jacques 5 Li, Chun-Hsien 5 Li, Dandan 5 Liu, Qiming 5 Lu, Junan 5 Luo, Xiaofeng 5 Marwan, Norbert 5 Moore, Jack Murdoch 5 Sun, Mei 5 Wang, Zhen 5 Yan, Xin 5 Zhang, Xiaoguang 5 Zhu, Guanghu 5 Zhu, Linhe 4 Aihara, Kazuyuki 4 Chen, Shufang 4 Corrêa, Débora Cristina 4 Hadzibeganovic, Tarik 4 Jafari, Sajad 4 Juang, Jonq 4 Kuga, Kazuki 4 Letellier, Christophe 4 Liang, Yu-Hao 4 Liu, Maoxing 4 Ma, Zhongjun 4 Peng, Xiaolong 4 Perc, Matjaž 4 Romera, Miguel 4 Saad, Khaled Mohammed 4 Shang, Pengjian 4 Song, Qiang 4 Sun, Meici 4 Tian, Canrong 4 Tse, Chi Kong 4 Wang, Haiying 4 Wang, Wei 4 Wei, Xiaodan 4 Yan, Zhijun 4 Yang, Xinsong 4 Yu, Zuguo 4 Zhang, Jie 4 Zhou, Wenshu 3 Aguirre, Luis Antonio 3 Ambika, G. 3 Anh, Vo V. 3 Cai, Shimin 3 Cao, Xiaochun 3 Carroll, Thomas L. 3 Chang, Lili 3 Chen, Shanshan 3 Chen, Yuming 3 Gao, Zhongke 3 Harikrishnan, K. P. 3 Hu, Ping 3 Jiang, Guoping 3 Liao, Shi-Gen 3 Liu, Fang 3 Lou, Yijun 3 Luque, Bartolo 3 Mees, Alistair I. 3 Mei, Jun 3 Misra, Ranjeev 3 Pan, Yaohui 3 Rajagopal, Karthikeyan 3 Shahriari, Zahra 3 Walker, David M. 3 Wang, Xiaoyan ...and 1,065 more Authors all top 5 Cited in 101 Serials 83 Chaos 80 Physica A 35 Communications in Nonlinear Science and Numerical Simulation 33 Chaos, Solitons and Fractals 33 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 26 Applied Mathematics and Computation 22 Physica D 17 Nonlinear Dynamics 12 Journal of the Franklin Institute 11 Journal of Theoretical Biology 8 Journal of Mathematical Biology 8 Applied Mathematical Modelling 8 Mathematical Problems in Engineering 7 Physics Letters. A 7 Abstract and Applied Analysis 6 Complexity 6 Discrete Dynamics in Nature and Society 6 Nonlinear Analysis. Real World Applications 6 Mathematical Biosciences and Engineering 5 Information Sciences 5 Journal of Statistical Mechanics: Theory and Experiment 5 International Journal of Biomathematics 4 International Journal of Modern Physics B 4 International Journal of Control 4 Mathematical Biosciences 4 Physics Reports 4 Asian Journal of Control 3 Computers & Mathematics with Applications 3 Applied Mathematics Letters 3 International Journal of Robust and Nonlinear Control 3 New Journal of Physics 3 Journal of Biological Systems 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Systems Science and Complexity 3 SIAM Journal on Applied Dynamical Systems 3 Advances in Difference Equations 3 The European Physical Journal B. Condensed Matter and Complex Systems 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Automatica 2 Journal of Differential Equations 2 Journal of Statistical Planning and Inference 2 Mathematics and Computers in Simulation 2 Systems & Control Letters 2 Neural Networks 2 Journal of Nonlinear Science 2 Journal of Biological Dynamics 2 Journal of Physics A: Mathematical and Theoretical 2 Advances in Mathematical Physics 1 Modern Physics Letters B 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Fuzzy Sets and Systems 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematical Social Sciences 1 Journal of Time Series Analysis 1 Acta Mathematicae Applicatae Sinica. English Series 1 Econometric Reviews 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Multidimensional Systems and Signal Processing 1 International Journal of Adaptive Control and Signal Processing 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Statistical Papers 1 Computational and Applied Mathematics 1 Fractals 1 Journal of Difference Equations and Applications 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 International Journal of Modern Physics C 1 Nonlinear Analysis. Modelling and Control 1 Quantitative Finance 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 International Journal of Computational Methods 1 Advances in Data Analysis and Classification. ADAC 1 Chinese Journal of Physics (Taipei) 1 Statistics Surveys 1 Science China. Mathematics 1 Dynamic Games and Applications 1 Journal of Applied Analysis and Computation 1 Special Matrices 1 Journal of Function Spaces 1 Cogent Mathematics 1 Journal of Computational and Engineering Mathematics ...and 1 more Serials all top 5 Cited in 33 Fields 239 Biology and other natural sciences (92-XX) 137 Dynamical systems and ergodic theory (37-XX) 121 Ordinary differential equations (34-XX) 90 Systems theory; control (93-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Statistics (62-XX) 54 Combinatorics (05-XX) 41 Statistical mechanics, structure of matter (82-XX) 32 Probability theory and stochastic processes (60-XX) 32 Computer science (68-XX) 32 Operations research, mathematical programming (90-XX) 27 Information and communication theory, circuits (94-XX) 15 Partial differential equations (35-XX) 14 Numerical analysis (65-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 7 Geophysics (86-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Algebraic topology (55-XX) 4 Mechanics of particles and systems (70-XX) 3 Real functions (26-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) Citations by Year