New approach to synchronization analysis of linearly coupled ordinary differential systems

[1]  C. Wu Synchronization in networks of nonlinear dynamical systems coupled via a directed graph , 2005 .

[2]  Tianping Chen,et al.  Synchronization of coupled connected neural networks with delays , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  Guanrong Chen,et al.  Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models , 2004, Int. J. Bifurc. Chaos.

[4]  Alun L Lloyd,et al.  Spatiotemporal dynamics of epidemics: synchrony in metapopulation models. , 2004, Mathematical biosciences.

[5]  Mingzhou Ding,et al.  Transitions to synchrony in coupled bursting neurons. , 2004, Physical review letters.

[6]  G. Rangarajan,et al.  General stability analysis of synchronized dynamics in coupled systems. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[8]  Guanrong Chen,et al.  Synchronization in scale-free dynamical networks: robustness and fragility , 2001, cond-mat/0105014.

[9]  Frank C. Hoppensteadt,et al.  Pattern recognition via synchronization in phase-locked loop neural networks , 2000, IEEE Trans. Neural Networks Learn. Syst..

[10]  Louis M. Pecora,et al.  Synchronization stability in Coupled oscillator Arrays: Solution for Arbitrary Configurations , 2000, Int. J. Bifurc. Chaos.

[11]  Francesca Maria Ceragioli,et al.  Discontinuous ordinary differential equations and stabilization , 2000 .

[12]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[13]  M. Newman,et al.  Renormalization Group Analysis of the Small-World Network Model , 1999, cond-mat/9903357.

[14]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[15]  Roy,et al.  Communication with chaotic lasers , 1998, Science.

[16]  Zhang Yifeng,et al.  A secure communication scheme based on cellular neural network , 1997, 1997 IEEE International Conference on Intelligent Processing Systems (Cat. No.97TH8335).

[17]  I. Stewart,et al.  From attractor to chaotic saddle: a tale of transverse instability , 1996 .

[18]  L. Chua,et al.  Synchronization in an array of linearly coupled dynamical systems , 1995 .

[19]  Carroll,et al.  Synchronous chaos in coupled oscillator systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[20]  F. Zou,et al.  Bifurcation and chaos in cellular neural networks , 1993 .

[21]  Vicente Pérez-Muñuzuri,et al.  Autowaves for Image Processing on a Two-Dimensional CNN Array of Excitable Nonlinear Circuits: Flat and Wrinkled Labyrinths V. Perez-Mufiuzuri, V. Perez-Villar, and Leon 0. Chua, Fellow, ZEEE , 1993 .

[22]  Vadim N. Biktashev,et al.  Autowave principles for parallel image processing , 1991 .

[23]  S. Strogatz,et al.  Synchronization of pulse-coupled biological oscillators , 1990 .

[24]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[25]  V. I. Krinsky,et al.  Image processing using light-sensitive chemical waves , 1989, Nature.

[26]  L.O. Chua,et al.  Cellular neural networks , 1993, 1988., IEEE International Symposium on Circuits and Systems.

[27]  Leon O. Chua,et al.  Cellular neural networks: applications , 1988 .

[28]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .

[29]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[30]  F. Clarke Optimization And Nonsmooth Analysis , 1983 .

[31]  A. Winfree The geometry of biological time , 1991 .

[32]  P. Hartman Ordinary Differential Equations , 1965 .

[33]  A. M. Turing,et al.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.