DocumentCode
2227815
Title
On partial synchronization of continuous and discrete-time coupled dynamical systems
Author
Belykh, Igor V. ; Belykh, Vladimir N.
Author_Institution
Nizhny Novgorod Univ., Russia
Volume
3
fYear
2000
fDate
2000
Firstpage
483
Abstract
The effects of global, partial and anti-phase synchronization of diffusively coupled dynamical systems are investigated via the linear invariant manifolds of the corresponding differential and difference equations. A selfsimilar behavior and a hierarchy of the manifolds are discovered. Stability of invariant manifolds is proved via the method of Lyapunov functions. Theoretical results are illustrated by examples of coupled Rossler systems
Keywords
Lyapunov methods; continuous time systems; difference equations; discrete time systems; synchronisation; Lyapunov functions; anti-phase synchronization; continuous-time coupled dynamical systems; coupled Rossler systems; difference equations; diffusively coupled dynamical systems; discrete-time coupled dynamical systems; global synchronization; hierarchy; linear invariant manifolds; partial synchronization; selfsimilar behavior; Boundary conditions; Chaos; Couplings; Difference equations; Lyapunov method; Manifolds; Stability; Synchronous generators; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 2000. Proceedings. ISCAS 2000 Geneva. The 2000 IEEE International Symposium on
Conference_Location
Geneva
Print_ISBN
0-7803-5482-6
Type
conf
DOI
10.1109/ISCAS.2000.856102
Filename
856102
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