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    Alexey Feoktistov

    Astrakhanskaya str. 83, Saratov, 410012, Russia
    Saratov State University named after N. G. Chernyshevsky


    Feoktistov A. V., Anishchenko V. S.
    Phenomenon of coherence resonance and external synchronization of noise-induced stochastic oscillations in hard excitation oscillator are studied by means of natural experiments. Regions of synchronization on parameter plane are constructed. Experiments on synchronization in hard excitation oscillator without noise are carried out.
    Keywords: coherence resonance, synchronization, noise-induced oscillators, hard excitation oscillator
    Citation: Feoktistov A. V., Anishchenko V. S.,  Coherence resonance and synchronization of stochastic self-sustained oscillations in hard excitation oscillator, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 5, pp.  897-911
    Anishchenko V. S., Astakhov S. V., Vadivasova T. E., Feoktistov A. V.
    The effect of synchonization has been studied in a system of two coupled Van der Pol oscillators under external harmonic force. The bifurcation analysis has been carried out using the phase approach. The mechanisms of complete and partial synchronization have been established. The main type of bifurcation described in the paper is the saddle-node bifurcation of invariant curves that corresponds to the saddle-node bifurcation of two-dimensional tori in the complete system of differential equations for the dynamical system under study. We illustrate the bifurcational mechanisms obtained from numerical experiment by the results of physical experiment. The synchronization phenomenon in the vicinity of resonances on a torus with winding numbers 1 : 1 and 1 : 3 is considered in the physical experiment.
    Keywords: limit cycle, torus, saddle-node bifurcation, synchronization
    Citation: Anishchenko V. S., Astakhov S. V., Vadivasova T. E., Feoktistov A. V.,  Numerical and experimental study of external synchronization of two-frequency oscillations, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 2, pp.  237-252

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