Geodesic
Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 23-43

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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, irregular oscillations.
Mots-clés : relaxation cycles 
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     author = {D. S. Kashchenko and S. A. Kashchenko},
     title = {Dynamics of a {System} of {Two} {Simple} {Self-Excited} {Oscillators} with {Delayed} {Step-by-Step} {Feedback}},
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D. S. Kashchenko; S. A. Kashchenko. Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 23-43. http://geodesic.mathdoc.fr/item/ND_2020_16_1_a2/