Bimodality and hysteresis in systems driven by confined Lévy flights
arXiv:0709.2695 · doi:10.1088/1367-2630/9/12/452
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 (15)
- Levy Flights in External Force Fields: Langevin and Fractional Fokker-Planck Equations, and their Solutions
- Fractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises
- Levy Anomalous Diffusion and Fractional Fokker--Planck Equation
- Lévy flights in a steep potential well
- Levy--Brownian motion on finite intervals: Mean first passage time analysis
- Levy Flights in External Force Fields: From Models to Equations
- Escape driven by -stable white noises
- The recurrence time of Dansgaard-Oeschger events and limits on the possible periodic component
- Levy flights in quenched random force fields
- Stationary states in Langevin dynamics under asymmetric Lévy noises
- Resonant activation in the presence of non-equilibrated baths
- Photon trajectories in incoherent atomic radiation trapping as Levy flights
- Stable Equilibrium Based on Lévy Statistics: Stochastic Collision Models Approach
- Stable Equilibrium Based on Lévy Statistics: A Linear Boltzmann Equation Approach
- Resonant effects in a voltage-activated channel gating