In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
Abstract
We consider in-phase and antiphase synchronization of chaos in a system of coupled cubic maps. Regions of stability and robustness of the regime of in-phase complete synchronization was found. It was demonstrated that the loss of the synchronization is accompanied by bubbling and riddling phenomena. The mechanisms of these phenomena are connected with bifurcations of the main family of periodic orbits and orbits appeared from them. We found that in spite of the in-phase synchronization, the antiphase self-synchronization of chaos is impossible for discrete maps with symmetric diffusive coupling. For achieving antiphase synchronization we used method of controlled synchronization by addition feedback. The region of the controlled antiphase synchronization and phenomena which accompany the loss of the synchronization are presented.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jan 01, 2002
- Source ID
- 10.1155/s1026022602000250
Entities
People
- Alexander Klimshin
- Alexey Shabunin
- Vadim Anishchenko
- Vladimir Astakhov
Organizations
- Saratov State University
- United States Naval Research Laboratory