Self-oscillation excitation under condition of positive dissipation in a state-dependent potential well
arXiv:1710.05175 · doi:10.1016/j.chaos.2018.09.045
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.
19 pages, 7 figures
References in corpus (4)
- Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
- Time-delayed feedback control of coherence resonance near subcritical Hopf bifurcation: theory versus experiment
- Modulating coherence resonance in non-excitable systems by time-delayed feedback
- A thermodynamic cycle for the solar cell