The Exit Problem from a Neighborhood of the Global Attractor for Dynamical Systems Perturbed by Heavy-Tailed Lévy Processes

DOI10.1080/07362994.2014.858554zbMath1296.60150OpenAlexW2060060228MaRDI QIDQ5416842

Ilya Pavlyukevitch, Michael A. Högele

Publication date: 15 May 2014

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2014.858554

zbMATH Keywords

global attractor\(\alpha\)-stable Lévy processVan der Pol oscillatorfinite-dimensional dynamical systemheavy-tailed large jumpssmall multiplicative Lévy noise

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Stable stochastic processes (60G52)

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