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
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;
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
DOI :
10.1109/ISCAS.2000.856102
