Nonlinear Dynamics of Externally Driven Delayed-Feedback Electronic Oscillator

Conference: NDES 2012 - Nonlinear Dynamics of Electronic Systems
07/11/2012 - 07/13/2012 at Wolfenbüttel, Germany

Proceedings: NDES 2012

Pages: 4Language: englishTyp: PDF

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Usacheva, Svetlana A.; Ryskin, Nikita M. (Saratov State University, Saratov, 410012, Russia)

Nonlinear dynamics of a ring-loop oscillator with time-delayed feedback driven by an external harmonic signal is considered. Regimes of forced synchronization and their stability conditions are studied analytically and numerically for the cases of single-frequency and multiple-frequency (selfmodulation) operation of the free-running oscillator. Results of numerical simulation of bifurcation transitions to the synchronization regime for different driving frequencies are presented. Main differences from the classical picture of synchronization for a system with one degree of freedom are discussed.