In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
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....
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022602000250 |
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| author | Vladimir Astakhov Alexey Shabunin Alexander Klimshin Vadim Anishchenko |
| author_facet | Vladimir Astakhov Alexey Shabunin Alexander Klimshin Vadim Anishchenko |
| author_sort | Vladimir Astakhov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ef709bbf7038425fbdb675241027f071 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ef709bbf7038425fbdb675241027f0712025-02-03T06:00:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2002-01-017421522910.1155/S1026022602000250In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete mapsVladimir Astakhov0Alexey Shabunin1Alexander Klimshin2Vadim Anishchenko3Radiophysics and Nonlinear Dynamics Department, Saratov State University, Astrakhanskaya, 83, Saratov 410026, RussiaRadiophysics and Nonlinear Dynamics Department, Saratov State University, Astrakhanskaya, 83, Saratov 410026, RussiaRadiophysics and Nonlinear Dynamics Department, Saratov State University, Astrakhanskaya, 83, Saratov 410026, RussiaRadiophysics and Nonlinear Dynamics Department, Saratov State University, Astrakhanskaya, 83, Saratov 410026, RussiaWe 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.http://dx.doi.org/10.1155/S1026022602000250Nonlinear dynamics; Chaotic synchronization; Chaos control. |
| spellingShingle | Vladimir Astakhov Alexey Shabunin Alexander Klimshin Vadim Anishchenko In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps Discrete Dynamics in Nature and Society Nonlinear dynamics; Chaotic synchronization; Chaos control. |
| title | In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| title_full | In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| title_fullStr | In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| title_full_unstemmed | In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| title_short | In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| title_sort | in phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps |
| topic | Nonlinear dynamics; Chaotic synchronization; Chaos control. |
| url | http://dx.doi.org/10.1155/S1026022602000250 |
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