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

TL;DR

This paper investigates how self-oscillations can occur in systems with positive dissipation due to a state-dependent potential, demonstrated through numerical and experimental studies of double-well and single-well oscillators.

Contribution

It introduces a mechanism for self-oscillation excitation driven by potential shape properties, even with positive dissipation, supported by numerical and experimental analysis.

Findings

Self-oscillations occur despite positive dissipation due to state-dependent potential.

Numerical and experimental results confirm the phenomenon in double-well oscillators.

A simplified single-well model also exhibits self-oscillatory behavior.

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.