Bimodality and hysteresis in systems driven by confined Lévy flights

Abstract

We demonstrate occurrence of bimodality and dynamical hysteresis in a system describing an overdamped quartic oscillator perturbed by additive white and asymmetric Lévy noise. Investigated estimators of the stationary probability density profiles display not only a turnover from unimodal to bimodal character but also a change in a relative stability of stationary states that depends on the asymmetry parameter of the underlying noise term. When varying the asymmetry parameter cyclically, the system exhibits a hysteresis in the occupation of a chosen stationary state.

4 pages, 5 figures, 30 references

References in corpus (3)

• Escape driven by $\alpha$-stable white noises
• Stationary states in Langevin dynamics under asymmetric Lévy noises
• Resonant effects in a voltage-activated channel gating

Cited by in corpus (1)

• Transport in a Levy ratchet: Group velocity and distribution spread