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Random dynamical systems

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Publication:1331082
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zbMath0805.60048MaRDI QIDQ1331082

Ludwig Arnold

Publication date: 2 February 1995

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)


zbMATH Keywords

stabilityinvariant manifoldsinvariant measuresmultiplicative ergodic theoremstochastic bifurcation


Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Ordinary differential equations and systems with randomness (34F05) Stochastic systems in control theory (general) (93E03)


Related Items (9)

Structural stability of linear random dynamical systems ⋮ Output feedback control for stochastic nonholonomic systems with growth rate restriction ⋮ Ergodic theorems for extended real-valued random variables ⋮ Lyapunov exponents of stochastic flows ⋮ Stratonovich calculus with spatial parameters and anticipative problems in multiplicative ergodic theory ⋮ Persistence of structured populations in random environments ⋮ Nonautonomous and random attractors ⋮ Dispersion of volume under the action of isotropic Brownian flows ⋮ Review on computational methods for Lyapunov functions




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