Delay Fokker-Planck equations, perturbation theory, and data analysis for nonlinear stochastic systems with time delays.
Phys Rev E Stat Nonlin Soft Matter Phys
; 71(3 Pt 1): 031106, 2005 Mar.
Article
em En
| MEDLINE
| ID: mdl-15903405
ABSTRACT
We study nonlinear stochastic systems with time-delayed feedback using the concept of delay Fokker-Planck equations introduced by Guillouzic, L'Heureux, and Longtin. We derive an analytical expression for stationary distributions using first-order perturbation theory. We demonstrate how to determine drift functions and noise amplitudes of this kind of systems from experimental data. In addition, we show that the Fokker-Planck perspective for stochastic systems with time delays is consistent with the so-called extended phase-space approach to time-delayed systems.
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01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2005
Tipo de documento:
Article
País de afiliação:
Alemanha