97 citations · 304 across the 10 of their papers we have counts for
12 papers · 1 filter
Harmonic oscillator under Levy noise: Unexpected properties in the phase space
Igor M. Sokolov, Bartlomiej Dybiec, Werner Ebelling
A harmonic oscillator under influence of the noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are indepe…
Anomalous diffusion and generalized Sparre-Andersen scaling
Bartlomiej Dybiec, Ewa Gudowska-Nowak
We are discussing long-time, scaling limit for the anomalous diffusion composed of the subordinated Lévy-Wiener process. The limiting anomalous diffusion is in general non-Markov,…
Levy stable noise induced transitions: stochastic resonance, resonant activation and dynamic hysteresis
Bartlomiej Dybiec, Ewa Gudowska-Nowak
A standard approach to analysis of noise-induced effects in stochastic dynamics assumes a Gaussian character of the noise term describing interaction of the analyzed system with it…
Transport in a Levy ratchet: Group velocity and distribution spread
B. Dybiec, E. Gudowska-Nowak, I. M. Sokolov
We consider the motion of an overdamped particle in a periodic potential lacking spatial symmetry under the influence of symmetric Lévy noise, being a minimal setup for a ``Lévy ra…
Bimodality and hysteresis in systems driven by confined Lévy flights
Bartłomiej Dybiec, Ewa Gudowska-Nowak
We demonstrate occurrence of bimodality and dynamical hysteresis in a system describing an overdamped quartic oscillator perturbed by additive white and asymmetric Lévy noise. Inve…
Stationary states in Langevin dynamics under asymmetric Lévy noises
B. Dybiec, E. Gudowska-Nowak, I. M. Sokolov
Properties of systems driven by white non-Gaussian noises can be very different from these systems driven by the white Gaussian noise. We investigate stationary probability densiti…