Fokker–Planck equations for globally coupled many-body systems with time delays

DOI10.1088/1742-5468/2005/10/P10010zbMath1459.82229OpenAlexW2074258219MaRDI QIDQ4968807

P. J. Beek, Till D. Frank

Publication date: 9 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2005/10/p10010

zbMATH Keywords

Brownian motionstochastic processes (theory)stochastic particle dynamics (theory)

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (3)

Kramers-Moyal expansion for stochastic differential equations with single and multiple delays: applications to financial physics and neurophysics ⋮ Time-dependent solutions for stochastic systems with delays: perturbation theory and applications to financial physics ⋮ Synchronization of a large number of continuous one-dimensional stochastic elements with time-delayed mean-field coupling

Cites Work

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• The Fokker-Planck equation. Methods of solution and applications.
• Stability analysis of stationary states of mean field models described by Fokker-Planck equations
• Dynamic mean field models: H-theorem for stochastic processes and basins of attraction of stationary processes
• Identifying noise sources of time-delayed feedback systems
• Nonlinear Fokker-Planck equations. Fundamentals and applications.
• Langevins stochastic differential equation extended by a time-delayed term
• Functional differential equations
• Brownian motors: noisy transport far from equilibrium
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