Random attractors for dissipative systems with rough noises (Q2078359)
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scientific article; zbMATH DE number 7481824
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random attractors for dissipative systems with rough noises |
scientific article; zbMATH DE number 7481824 |
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Random attractors for dissipative systems with rough noises (English)
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28 February 2022
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The author studies the long-term behavior of the dynamics generated by rough differential equations with Hölder driving noises. The existence and upper semi-continuity of the global pullback attractor for certain dissipative systems with noises is proved. Further, it is shown that if one starts with a strictly disspative system, then the random attractor is a singleton if the perturbations possess sufficiently small noise intensity.
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stochastic differential equations
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rough path theory
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rough integrals
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random dynamical systems
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random attractors
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stochastic perturbation
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stochastic stability
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