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Dmitriev A. S., Starkov S. O., Shirokov M. E. Synchronization in ensembles of coupled maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 40-58.

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391+531.01+517.9

Synchronization in ensembles of coupled maps

Autors: 
Dmitriev Aleksandr Sergeevich, Kotel'nikov Institute of Radioengineering and Electronics of Russian Academy of Sciences
Starkov Sergei Olegovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Shirokov Maksim Evgenievich, Moscow Institute of Physics and Technology
Abstract: 

Ensembles of coupled maps are considered. The conditions of synchronization in such ensembles are investigated. It is shown that for this type of coupling these conditions are defined by the value of the first Lyapunov exponent of the partial dynamics in each (isolated) тар and by the spectral characteristics of the coupling matrix. The obtained results are applied to concrete ensembles of coupled maps. Computer simulations of the dynamics of such ensembles with logistic maps and Henon maps as partial systems are described. Some applications of obtained results are outlined.

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Received: 
08.01.1996
Accepted: 
20.06.1996
Published: 
10.12.1996
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