BIFURCATIONAL MECHANISMS OF DESTRUCTION OF ANTIPHASE CHAOTIC SYNCHRONIZATION IN COUPLED DISCRETE-TIME SYSTEMS


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Astakhov V. V., Shabunin А. V., Stalmakhov P. . BIFURCATIONAL MECHANISMS OF DESTRUCTION OF ANTIPHASE CHAOTIC SYNCHRONIZATION IN COUPLED DISCRETE-TIME SYSTEMS. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 6, pp. 100-111. DOI: https://doi.org/10.18500/0869-6632-2006-14-6-100-111


Bifurcational mechanisms responsible for destruction of antiphase synchronization of chaos are studied. Two cubic discrete maps with symmetric diffusive coupling and additional control term are used as a model. Phenomenon of synchronization formation and destruction are explored in connection with bifurcations of principal periodic orbits embedded in the chaotic attractor.

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DOI: 
10.18500/0869-6632-2006-14-6-100-111
Literature

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BibTeX

@article{Астахов -IzvVUZ_AND-14-6-100,
author = {V. V. Astakhov and А. V. Shabunin and P. А. Stalmakhov},
title = {BIFURCATIONAL MECHANISMS OF DESTRUCTION OF ANTIPHASE CHAOTIC SYNCHRONIZATION IN COUPLED DISCRETE-TIME SYSTEMS},
year = {2006},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {14},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/bifurcational-mechanisms-of-destruction-of-antiphase-chaotic-synchronization-in-coupled},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2006-14-6-100-111},pages = {100--111},issn = {0869-6632},
keywords = {-},
abstract = {Bifurcational mechanisms responsible for destruction of antiphase synchronization of chaos are studied. Two cubic discrete maps with symmetric diffusive coupling and additional control term are used as a model. Phenomenon of synchronization formation and destruction are explored in connection with bifurcations of principal periodic orbits embedded in the chaotic attractor. }}