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Synchronization in ensembles of coupled maps with a major element

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  • Iryna Omelchenko
  • Yuri Maistrenko
  • Erik Mosekilde

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.

Suggested Citation

  • Iryna Omelchenko & Yuri Maistrenko & Erik Mosekilde, 2005. "Synchronization in ensembles of coupled maps with a major element," Discrete Dynamics in Nature and Society, Hindawi, vol. 2005, pages 1-17, January.
    • Handle: RePEc:hin:jnddns:681483
    DOI: 10.1155/DDNS.2005.239
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    Cited by:

    1. Usha, K. & Subha, P. A. & Nayak, Chitra R., 2018. "The route to synchrony via drum head mode and mixed oscillatory state in star coupled Hindmarsh–Rose neural network," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 25-31.

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