Exponential Leveling for Stochastically Perturbed Dynamical Systems

DOI10.1137/0513035zbMath0513.60077OpenAlexW1971103980MaRDI QIDQ3658861

Martin V. Day

Publication date: 1982

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0513035

zbMATH Keywords

Dirichlet problemsmall stochastic perturbations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Diffusion processes (60J60)

Related Items

The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points. II, Abrupt convergence for stochastic small perturbations of one dimensional dynamical systems, Localization results for densities associated with stable small-noise diffusions, Unnamed Item, Thermalisation for small random perturbations of dynamical systems, Exponential descent of solutions of elliptic singular perturbation problems, Exit time and invariant measure asymptotics for small noise constrained diffusions, On the asymptotic relation between equilibrium density and exit measure in the exit problem, Correction, Dynamical systems under random perturbations with fast switching and slow diffusion: hyperbolic equilibria and stable limit cycles, The exponential leveling and the Ventcel-Freidlin ``minimal action function, Unpredictability of an exit time, Poissonian asymptotics of a randomly perturbed dynamical system: Flip-flop of the stochastic disk dynamo, On the exponential exit law in the small parameter exit problem, Mean exit time for the overdamped Langevin process: the case with critical points on the boundary, Singularly perturbed problems in partial differential equations: A survey, The exponential leveling in elliptic singular perturbation problems with complicated attractors