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


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Anishchenko V. S., Nikolaev S. M. Synchronization of two-frequency quasi-periodic oscillations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 2, pp. 69-86. DOI: 10.18500/0869-6632-2008-16-2-69-86

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Language: 
Russian
Article type: 
Article
UDC: 
517.9

Synchronization of two-frequency quasi-periodic oscillations

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Nikolaev Sergej Mihajlovich, Saratov State University
Abstract: 

In present paper we study the effect of synchronization of two-frequency quasiperiodic oscillations. We analyze both external and mutual synchronization. The peculiarities of synchronization of a resonant limit cycle on a two-dimensional torus are established. It is shown that in general case, one and then another one of the basic frequencies is locked. The results of computer simulation are confirmed experimentally.

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Reference: 
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  8. Anishchenko V, Nikolaev S, Kurths J. Peculiarities of synchronization of a resonant limit cycle on a two-dimensional torus. Phys. Rev. E. 2007;76(4):046216. DOI: 10.1103/PhysRevE.76.046216.
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Received: 
26.02.2008
Accepted: 
26.02.2008
Published: 
30.04.2008
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