Open AccessIn‐phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
Author(s) -
В. В. Астахов,
A. Shabunin,
Alexander Klimshin,
В. С. Анищенко
Publication year - 2002
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/s1026022602000250
Subject(s) - synchronization (alternating current) , synchronization of chaos , phase synchronization , robustness (evolution) , control theory (sociology) , phase (matter) , chaotic systems , topology (electrical circuits) , chaos (operating system) , chaotic , computer science , coupling (piping) , physics , mathematics , materials science , combinatorics , control (management) , artificial intelligence , chemistry , quantum mechanics , gene , metallurgy , computer security , biochemistry
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
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