Bimodality and hysteresis in systems driven by confined Lévy flights. Dybiec, B. & Gudowska-Nowak, E. New Journal of Physics, 2007.
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We demonstrate the 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. © IOP Publishing Ltd and Deutsche Physikalische Gesellscnaft.
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 title = {Bimodality and hysteresis in systems driven by confined Lévy flights},
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 year = {2007},
 volume = {9},
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 abstract = {We demonstrate the 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. © IOP Publishing Ltd and Deutsche Physikalische Gesellscnaft.},
 bibtype = {article},
 author = {Dybiec, B. and Gudowska-Nowak, E.},
 doi = {10.1088/1367-2630/9/12/452},
 journal = {New Journal of Physics}
}

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