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arXiv · 0709.2695

Bimodality and hysteresis in systems driven by confined Lévy flights

Bartłomiej Dybiec·Ewa Gudowska-Nowak
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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.

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Bartłomiej Dybiec, Ewa Gudowska-Nowak. 2007-09-17. Bimodality and hysteresis in systems driven by confined Lévy flights. https://doi.org/10.1088/1367-2630%2F9%2F12%2F452

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