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

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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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537.86:530.182, 517.929

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

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

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.

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