We demonstrate the occurrence of bimodality and dynamical hysteresis in
a system describing an overdamped quartic oscillator perturbed by
additive white and asymmetric Levy 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.
affiliation:
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego