Coherence resonance in an excitable potential well

TL;DR

This paper investigates how coherence resonance and self-oscillations occur in an excitable system modeled as a particle in a state-dependent potential well with positive dissipation, introducing the concept of an excitable potential well.

Contribution

It introduces the concept of an excitable potential well and explores coherence resonance and self-oscillation phenomena within this framework through numerical experiments.

Findings

Coherence resonance observed in the state-dependent potential well.

Self-oscillation excitation occurs under positive dissipation.

The shape of the potential well influences excitable behavior.

Abstract

The excitable behaviour is considered as motion of a particle in a potential field in the presence of dissipation. The dynamics of the oscillator proposed in the present paper corresponds to the excitable behaviour in a potential well under condition of positive dissipation. Type-II excitability of the offered system results from intrinsic peculiarities of the potential well, whose shape depends on a system state. Concept of an excitable potential well is introduced. The effect of coherence resonance and self-oscillation excitation in a state-dependent potential well under condition of positive dissipation are explored in numerical experiments.