Bimodality and hysteresis in systems driven by confined Lévy flights

Details Bimodality and hysteresis in systems driven by confined Lévy flights Bimodality and hysteresis in systems driven by confined Lévy flights

2007-09-17

arxiv.org/abs/0709.2695v1

New J. Phys. 9 452 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, 30 references

Scientific paper

10.1088/1367-2630/9/12/452

We demonstrate occurrence of bimodality and dynamical hysteresis in a system describing an overdamped quartic oscillator perturbed by additive white and asymmetric L\'evy 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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