INFLUENCE OF TIME DELAY COUPLING ON THE COMPLETE SYNCHRONIZATION OF CHAOS IN CHAOTIC SYSTEMS WITH DISCRETE TIME


Cite this article as:

Astakhov V. V., Nekhodtseva . I., Astakhov S. V., Shabunin А. V. INFLUENCE OF TIME DELAY COUPLING ON THE COMPLETE SYNCHRONIZATION OF CHAOS IN CHAOTIC SYSTEMS WITH DISCRETE TIME. Izvestiya VUZ, Applied Nonlinear Dynamics, 2007, vol. 15, iss. 5, pp. 61-67 DOI: 10.18500/0869-6632-2007-15-5-61-67


In the work the influence of time delay of coupling on the complete synchronization of chaos in an interacting systems with discrete time is studied. The system’s behavior is considered in dependence on coupling coefficient value and delay time value. It is established that coupling with time delay prevents appearance of the complete synchronization of chaos, however it allows the synchronization of periodic and quasi-periodic oscillations.

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DOI: 
10.18500/0869-6632-2007-15-5-61-67
Literature

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@article{Астахов -IzvVUZ_AND-15-5-61,
author = {V. V. Astakhov and Е. I. Nekhodtseva and S. V. Astakhov and А. V. Shabunin},
title = {INFLUENCE OF TIME DELAY COUPLING ON THE COMPLETE SYNCHRONIZATION OF CHAOS IN CHAOTIC SYSTEMS WITH DISCRETE TIME},
year = {2007},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {15},number = {5},
url = {http://andjournal.sgu.ru/en/articles/influence-of-time-delay-coupling-on-the-complete-synchronization-of-chaos-in-chaotic},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2007-15-5-61-67},pages = {61--67},issn = {0869-6632},
keywords = {-},
abstract = {In the work the influence of time delay of coupling on the complete synchronization of chaos in an interacting systems with discrete time is studied. The system’s behavior is considered in dependence on coupling coefficient value and delay time value. It is established that coupling with time delay prevents appearance of the complete synchronization of chaos, however it allows the synchronization of periodic and quasi-periodic oscillations. }}