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

Vladimir V. Semenov

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 358-364

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.

Keywords: Potential well; Double-well oscillator; Self-sustained oscillations; Andronov–Hopf bifurcation, (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:116:y:2018:i:c:p:358-364

DOI: 10.1016/j.chaos.2018.09.045

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