Chaotic synchronization in ensembles of coupled maps

Synchronization modes are investigated in ensembles of interacting maps with chaos. For certain types of the map couplings, simple and rigorous conditions for chaotic synchronization are obtained, determined by only two parameters of order. The results of numerical simulation of the processes of chaotic mode establishment and destruction are presented.

[1]  K. Kaneko Pattern dynamics in spatiotemporal chaos: Pattern selection, diffusion of defect and pattern competition intermettency , 1989 .

[2]  H. Fujisaka,et al.  Stability Theory of Synchronized Motion in Coupled-Oscillator Systems , 1983 .

[3]  Kapitaniak,et al.  Different types of chaos synchronization in two coupled piecewise linear maps. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  STATISTICAL PROPERTIES OF THE NOISY ON-OFF INTERMITTENCY , 1996 .

[5]  W. Freeman,et al.  How brains make chaos in order to make sense of the world , 1987, Behavioral and Brain Sciences.

[6]  D. Ruelle,et al.  Ergodic theory of chaos and strange attractors , 1985 .

[7]  Qu,et al.  On-off intermittency in a coupled-map lattice system. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[8]  P. Grassberger,et al.  Symmetry breaking bifurcation for coupled chaotic attractors , 1991 .

[9]  Kunihiko Kaneko,et al.  Spatiotemporal chaos in one-and two-dimensional coupled map lattices , 1989 .

[10]  John S. Nicolis,et al.  Dynamics of hierarchical systems - an evolutionary approach , 1986, Springer series in synergetics.

[11]  K. Kaneko Lyapunov analysis and information flow in coupled map lattices , 1986 .

[12]  Arkady Pikovsky,et al.  On the interaction of strange attractors , 1984 .

[13]  A. Cenys,et al.  On-off intermittency in chaotic synchronization experiment , 1996 .

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

[15]  M. Rabinovich,et al.  Stochastic synchronization of oscillation in dissipative systems , 1986 .

[16]  Self-Organization and Information , 1987 .

[17]  K. Kaneko Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements , 1990 .

[18]  Carroll,et al.  Driving systems with chaotic signals. , 1991, Physical review. A, Atomic, molecular, and optical physics.