SYNCHRONIZATION AND TRANSPORT IN AN OSCILLATING PERIODIC POTENTIAL

DOI10.1142/S0219493711003395zbMath1238.60087OpenAlexW2030447397MaRDI QIDQ3174002

Pawel Romanczuk, Felix Müller, Lutz Schimansky-Geier

Publication date: 11 October 2011

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493711003395

zbMATH Keywords

Fokker-Planck equationsynchronizationoverdamped Brownian particle

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Transport processes in time-dependent statistical mechanics (82C70) Simulation of dynamical systems (37M05) Fokker-Planck equations (35Q84)

Cites Work

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• Accelerating numerical solution of stochastic differential equations with CUDA
• Positive Lyapunov exponents in the Kramers oscillator
• Some formulas for Lyapunov exponents and rotation numbers in two dimensions and the stability of the harmonic oscillator and the inverted pendulum
• The asymptotic stability of a noisy non-linear oscillator
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• Stochastic resonance in two-state Markov chains
• Brownian motors: noisy transport far from equilibrium

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