Izvestiya of Saratov University.

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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. New series. Series: Physics. , 2008, vol. 8, iss. 2, pp. 30-34. DOI:

Язык публикации: 

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

Astakhov Vladimir Vladimirovich, Saratov State Technical University named after Yuri Gagarin
Astakhov Sergei Vladimirovich, Saratov State University
Nekhodtseva E. I., Saratov State University
Shabunin Alexey Vladimirovich, Saratov State University

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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