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Chaos / Volume 10 / Issue 2 / REGULAR ARTICLES

Chaos 10, 344 (2000); http://dx.doi.org/10.1063/1.166500 (6 pages)

A unifying definition of synchronization for dynamical systems

Reggie Brown1 and Ljupčo Kocarev2

1Department of Physics and Department of Applied Science, College of William and Mary, Williamsburg, Virginia 23187-8795
2Department of Electrical Engineering, St. Cyril and Methodius University, Skopje, PO Box 574, Macedonia

(Received 27 April 1999; accepted 2 September 1999)

We propose a unifying definition for synchronization between stationary finite dimensional deterministic dynamical systems. By example, we show that the synchronization phenomena discussed in the dynamical systems literature fits within the framework of this definition, and discuss problems with previous definitions of synchronization. We conclude with a discussion of possible extensions of the definition to infinite dimensional systems described by partial differential equations and/or systems where noise is present. © 2000 American Institute of Physics.

© 2000 American Institute of Physics

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KEYWORDS and PACS

Keywords

synchronisation, nonlinear dynamical systems

PACS

  • 05.45.Xt

    Synchronization; coupled oscillators

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.166500

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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