Sergey Kashchenko
ul. Sovetskaya 14, Yaroslavl, 150003, Russia
P.G. Demidov Yaroslavl State University
Publications:
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Kashchenko D. S., Kashchenko S. A.
Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback
2020, Vol. 16, no. 1, pp. 23-43
Abstract
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.
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