DocumentCode
357513
Title
Embedded invariant manifolds and ordering of chaotic synchronization of diffusively coupled systems
Author
Belykh, Igor V. ; Belykh, Vladimir N.
Author_Institution
Inst. for Appl. Math. & Cybern., Nizhny Novgorod Univ., Russia
Volume
2
fYear
2000
fDate
2000
Firstpage
346
Abstract
Results of a qualitative analysis of an array of diffusively coupled identical continuous time dynamical systems are presented. The effect of partial chaotic synchronization are investigated via the linear invariant manifolds of the corresponding differential equations. Existence of various synchronization manifolds, a hierarchy and embedding of the manifolds of the coupled system are discovered. The general rigorous results are illustrated through examples of coupled Rossler systems
Keywords
chaos; differential equations; diffusion; synchronisation; chaotic synchronization ordering; coupled Rossler systems; differential equations; diffusively coupled identical continuous time dynamical systems; diffusively coupled systems; embedded invariant manifolds; linear invariant manifolds; partial chaotic synchronization; Chaos; Cybernetics; Mathematics; Oscillators; Stability; Synchronous generators; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location
St. Petersburg
Print_ISBN
0-7803-6434-1
Type
conf
DOI
10.1109/COC.2000.873988
Filename
873988
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