Collapse of attractors for ODEs under small random perturbations

DOI10.1007/s00440-006-0051-0zbMath1143.34034OpenAlexW2055290443MaRDI QIDQ2480819

Oliver M. Tearne

Publication date: 3 April 2008

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-006-0051-0

zbMATH Keywords

random attractorOmega limit setGlobal attaractor

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ordinary differential equations and systems with randomness (34F05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (7)

Synchronization by noise ⋮ On the pitchfork bifurcation for the Chafee-Infante equation with additive noise ⋮ Additive noise destroys the random attractor close to bifurcation ⋮ Invariant measure of duplicated diffusions and application to Richardson-Romberg extrapolation ⋮ On the approaching time towards the attractor of differential equations perturbed by small noise ⋮ Synchronization by noise for the stochastic quantization equation in dimensions 2 and 3 ⋮ The effect of noise on the Chafee-Infante equation: A nonlinear case study

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