Noise-induced global asymptotic stability.

DOI10.1007/BF01025992zbMath1086.34534MaRDI QIDQ1963707

André Longtin, Andrzej Lasota, Michael C. Mackey

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Fokker-Planck equationglobal stabilityHopf bifurcationLyapunov functionsStochastic differential equationsnoise-induced transitions

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Ordinary differential equations and systems with randomness (34F05)

Related Items (8)

Noise and stability in differential delay equations ⋮ Global threshold dynamics of a stochastic differential equation SIS model ⋮ Optimal harvesting policy of logistic population model in a randomly fluctuating environment ⋮ Additive noise effects in active nonlinear spatially extended systems ⋮ Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks ⋮ Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks ⋮ Escape statistics for systems driven by dichotomous noise. I: General theory. ⋮ Temporal localization of limit cycles in a noise-driven chemical oscillator

Cites Work

• Unnamed Item
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Asymptotic properties of coupled nonlinear Langevin equations in the limit of weak noise. II: Transition to a limit cycle
• Bifurcations in fluctuating systems: The center-manifold approach
• Ergodicity of randomly perturbed Lorenz model
• Probabilistic Properties of Deterministic Systems

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