Dmitry Kashchenko

    ul. Sovetskaya 14, Yaroslavl, 150003 Russia
    P.G.Demidov Yaroslavl State University


    Kashchenko D. S., Kashchenko S. A.
    This paper studies the dynamics of a system of two coupled self-excited oscillators of first order with on-off delayed feedback using numerical and analytical methods. Regions of “fast” and “long” synchronization are identified in the parameter space, and the problem of synchronization on an unstable cycle is examined. For small coupling coefficients it is shown by analytical methods that the dynamics of the initial system is determined by the dynamics of a special one-dimensional map.
    Keywords: stability, dynamics, relaxation cycles, irregular oscillations
    Citation: Kashchenko D. S., Kashchenko S. A.,  Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback, Rus. J. Nonlin. Dyn., 2020, Vol. 16, no. 1, pp.  23-43

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