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Zbl 0973.34041
Brown, Reggie; Kocarev, Ljupčo
A unifying definition of synchronization for dynamical systems. (English)
[J] Chaos 10, No.2, 344-349 (2000). ISSN 1054-1500; ISSN 1089-7682/e

Summary: The authors propose a unifying definition for synchronization between stationary finite-dimensional deterministic dynamical systems. By example, they 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. The authors 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.

MSC 2000:: *34D05 Asymptotic stability of ODE
37C20 Generic properties, structural stability

Keywords: synchronization; stationary finite-dimensional deterministic dynamical systems; infinite-dimensional systems; partial differential equations; noise

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