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Synchronization of Chaotic Systems with Diagonal Coupling

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Large-Scale Scientific Computing (LSSC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3743))

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Abstract

In this paper we define a simple criterion of the synchronization threshold in the set of coupled chaotic systems (flows or maps) with diagonal diffusive coupling. The condition of chaotic synchronization is determined only by two “parameters of order”, i.e. the largest Lyapunov exponent and the coupling coefficient. Our approach can be applied for both regular chaotic networks and arrays or lattices of chaotic oscillators with irregular, arbitrarily assumed structure of coupling.

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Authors and Affiliations

  1. Technical University of Lodz, 90-924, Lodz, ul. Stefanowskiego 1/15, Poland

    Andrzej Stefański, Jerzy Wojewoda & Tomasz Kapitaniak

Authors
  1. Andrzej Stefański
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  2. Jerzy Wojewoda
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  3. Tomasz Kapitaniak
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev, Bl. 25A, 1113, Sofia, Bulgaria

    Ivan Lirkov

  2. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2006 Springer-Verlag Berlin Heidelberg

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Stefański, A., Wojewoda, J., Kapitaniak, T. (2006). Synchronization of Chaotic Systems with Diagonal Coupling. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2005. Lecture Notes in Computer Science, vol 3743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11666806_36

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  • DOI: https://doi.org/10.1007/11666806_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31994-8

  • Online ISBN: 978-3-540-31995-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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