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

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Astakhov V. V., Shabunin A. V., Stalmahov P. A. Asymmetrical coupling influence on bifurcational mechanizms of antiphase chaotic synchronization destruction. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 2, pp. 40-54. DOI: 10.18500/0869-6632-2007-15-2-40-54

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Asymmetrical coupling influence on bifurcational mechanizms of antiphase chaotic synchronization destruction

Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Shabunin Aleksej Vladimirovich, Saratov State University
Stalmahov Petr Andreevich, Saratov State University

The work is devoted to anti-phase controlled synchronization of chaos in diffusivelly coupled cubic maps. Influence of asymmetry of controlling feed-back coupling on mechanizms of the synchronization loss is considered. A new bifurcational scenarium which includes a sequence of transcritical and saddle-repeller bifurcation has been found. We demonstrate that the same squence of bifurcations can lead to either «bubbling» or «riddling» transitions in dependance of assymetry value.  

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