Synchronization in ensembles of coupled maps with a major element

Iryna Omelchenko, Yuri Maistrenko and Erik Mosekilde

Discrete Dynamics in Nature and Society, 2005, vol. 2005, 1-17

Abstract:

The paper investigates the conditions for full and partial synchronization in systems of coupled chaotic maps that include the presence of a major element, that is, an element that interacts with all the other elements of the system. We consider a system which consists of two globally coupled populations of one-dimensional maps that interact via a major element. The presence of this element can induce synchronization in both of the globally coupled populations even though they operate in different states. If a parameter mismatch is introduced between two populations of uncoupled maps, the presence of a major element is found to provide for the existence of states in which peripheral elements with different parameter values display similar dynamics.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:681483

DOI: 10.1155/DDNS.2005.239

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