Exponential mean square stability of stochastically forced 2-torus

DOI10.1088/0951-7715/17/2/021zbMath1049.60054OpenAlexW1976923122MaRDI QIDQ4810820

L. B. Ryashko

Publication date: 16 August 2004

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/17/2/021

zbMATH Keywords

parametrizationspectral radiusstochastic stabilitypositive operatorstochastic nonlinear systemsItô's stochastic differential equations2-torus manifolddeterministic invariant torusexponential mean square \(P\)-stabilityfirst-ap\-pro\-xi\-ma\-tion systemsmatrix differential Lyapunov equationparametric criterion of 2-torus stabilitytoroidal quadratic Lyapunov functions

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Random dynamical systems (37H99) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (2)

EXPONENTIAL MEAN SQUARE STABILITY OF STOCHASTICALLY FORCED INVARIANT MANIFOLDS FOR NONLINEAR SDEs ⋮ Stabilization of stochastically perturbed nonlinear oscillations

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