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

For citation:

Ryskin N. M., Usacheva S. A. Synchronization of periodic oscillation in a delayed-feedback oscillator by external harmonic driving. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 3-12. DOI: 10.18500/0869-6632-2009-17-1-3-12

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86:530.182, 517.929
DOI: 
10.18500/0869-6632-2009-17-1-3-12

Synchronization of periodic oscillation in a delayed-feedback oscillator by external harmonic driving

Autors: 
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Usacheva Svetlana Aleksandrovna, Saratov State University
Abstract: 

Dynamics of a delayed-feedback oscillator with cubic nonlinearity driven by an external harmonic signal is considered in a case when in the free-running oscillator periodic regime is realized. Resonance curves, i.e. amplitude–frequency responses of the oscillator are derived analytically. Stability conditions for synchronization regime are analyzed. Synchronization tongues on the driving amplitude – driving frequency parameter plane are presented. General differences from classical picture of synchronization of the systems with one degree of freedom are discussed.

Key words: 
Delayed-feedback oscillator
synchronization
resonance curves
synchronization tongues
Reference: 
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Received: 
23.06.2008
Accepted: 
19.11.2008
Published: 
30.04.2009
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