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Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing

Author

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  • Krylosova, D.A.
  • Seleznev, E.P.
  • Stankevich, N.V.

Abstract

The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of complex chaotic dynamics in the behavior of oscillator. A hierarchy of various periodic and chaotic oscillations is observed. The structure of the space of control parameters is studied. It is shown there are oscillatory modes similar to those of a non-autonomous oscillator with a potential in the form of a periodic function in the system dynamics, but there are also significant differences. Physical experiments of such systems are implemented.

Suggested Citation

  • Krylosova, D.A. & Seleznev, E.P. & Stankevich, N.V., 2020. "Dynamics of non-autonomous oscillator with a controlled phase and frequency of external forcing," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    • Handle: RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301181
    DOI: 10.1016/j.chaos.2020.109716
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