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Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well

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  • Semenov, Vladimir V.

Abstract

The self-oscillatory dynamics is considered as motion of a particle in a potential field in the presence of dissipation. Described mechanism of self-oscillation excitation is not associated with peculiarities of a dissipation function, but results from properties of a potential, whose shape depends on a system state. Moreover, features of a potential function allow to realize the self-oscillation excitation in a case of the dissipation function being positive at each point of the phase space. The phenomenon is explored both numerically and experimentally on the example of a double-well oscillator with a state-dependent potential and dissipation. After that a simplified single-well model is studied.

Suggested Citation

  • Semenov, Vladimir V., 2018. "Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 358-364.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:358-364
    DOI: 10.1016/j.chaos.2018.09.045
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    References listed on IDEAS

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    1. Yuriy Mishchenko, 2014. "Oscillations in Rational Economies," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-6, February.
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    4. René Yamapi & André Chéagé Chamgoué & Giovanni Filatrella & Paul Woafo, 2017. "Coherence and stochastic resonance in a birhythmic van der Pol system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-16, August.
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