ON STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS WITH FAST AND SLOW COMPONENTS

DOI10.1142/S0219493701000138zbMath1038.60018OpenAlexW1998760216MaRDI QIDQ4460421

Mark I. Freidlin

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1142/s0219493701000138

zbMATH Keywords

large deviationsstochastic resonancenoise induced equilibriumnoise induced oscillations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Large deviations (60F10)

Related Items (7)

Some remarks on the Smoluchowski-Kramers approximation ⋮ A nontrivial scaling limit for multiscale Markov chains ⋮ Large deviations for synchronized system ⋮ Regularity and synchrony in motor proteins ⋮ Non-equilibrium transitions in multiscale systems with a bifurcating slow manifold ⋮ Stability of equilibria of randomly perturbed maps ⋮ Coherent neural oscillations induced by weak synaptic noise

Cites Work

• Averaging in dynamical systems and large deviations
• On the motion of light particles perturbed by noise
• On stable oscillations and equilibriums induced by small noise

This page was built for publication: ON STOCHASTIC PERTURBATIONS OF DYNAMICAL SYSTEMS WITH FAST AND SLOW COMPONENTS