ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Astakhov V. V., Shabunin A. V., Stalmahov P. A., Klimshin A. V. Controlled antiphase chaotic synchronization in coupled cubic maps. Izvestiya VUZ. Applied Nonlinear Dynamics, 2000, vol. 8, iss. 4, pp. 91-102. DOI: 10.18500/0869-6632-2000-8-4-91-102

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Russian
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Article
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517.9

Controlled antiphase chaotic synchronization in coupled cubic maps

Autors: 
Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Shabunin Aleksej Vladimirovich, Saratov State University
Stalmahov Petr Andreevich, Saratov State University
Klimshin Alexandr Viktorovich, Saratov State University
Abstract: 

Antiphase synchronization is studied in interacting chaotic systems with symmetric coupling. A system of two diffusively coupled cubic maps is chosen as a model. Motion in symmetric subspace are investigated. Conditions of stability for antiphase oscillations are obtained. We considered the controlled antiphase chaotic synchronization and process of synchronization loss with the parameter decreasing.

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Acknowledgments: 
The work was supported by the RFBR (grant 00-02-17512) and CRDF (grant № REC-006).
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Received: 
07.04.2000
Accepted: 
14.06.2000
Published: 
23.10.2000