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

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

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

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.

Keywords: Non-autonomous oscillator; Sinusoidal-nonlinearity; Chaos; Adaptation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920301181

DOI: 10.1016/j.chaos.2020.109716

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