Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


For citation:

Astakhov V. V., Astakhov S. V., Nekhodtseva E. I., Shabunin A. V. Influence of Time-delay in the Coupling Channel on the Complete Synchronization of Chaos. Izvestiya of Saratov University. Physics , 2008, vol. 8, iss. 2, pp. 30-34. DOI: 10.18500/1817-3020-2008-8-2-30-34

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
23.12.2008
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Russian
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Article
UDC: 
517.9

Influence of Time-delay in the Coupling Channel on the Complete Synchronization of Chaos

Autors: 
Astakhov Vladimir Vladimirovich, Saratov State University
Astakhov Sergey Vladimirovich, Lomonosov Moscow State University
Nekhodtseva E. I., Saratov State University
Shabunin Alexey Vladimirovich, Saratov State University
Abstract: 

In the current work the influence of delay in a coupling channel on the synchronization of regular and chotic oscillations in discrete maps and continuous time systems is studied. It is established that introduction of time delay in a discrete system prevents synchronization of chaos but allows synchronization of periodic and quasiperiodic oscillations. In a continuous time system with chaotic attractor the introduction of a small delay doesn’t make essential changes in its dynamics however the increasing of delay leads to the reverse period doubling cascade.

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Received: 
18.07.2008
Accepted: 
09.11.2008
Published: 
23.12.2008