Chaotic Synchronization in Ensembles of Coupled Maps

Alexander S. Dmitriev, Maxim E. Shirokov and Sergei O. Starkov
Institute of Radioengineering and Electronics of the Russian Academy of Sciences
Moscow, 103907, Russia

IEEE Transactions on Circuits and Systems-I, 1997, vol. 44, No. 10, pp. 918-926.
Received December 18, 1996

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 obtain, determined by only two parameters of order. The results of numerical simulation of the processes of chaotic mode establishment and destruction are presented.