scientific article; zbMATH DE number 2110604

zbMath1051.37026MaRDI QIDQ4823124

Andrew M. Stuart

Publication date: 26 October 2004

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

attractorsBrownian motionstochastic differential equationsinvariant measuresrandom dynamical systemsLangevin equationLyapunov functionsrandom attractorsnumerical algorithmsdiscrete time dynamical systemscontinuous time dynamical systemsparticles in a random velocity fieldtime-evolving systems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solutions to stochastic differential and integral equations (65C30) Simulation of dynamical systems (37M05) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Random dynamical systems (37Hxx)

Related Items (4)

A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model ⋮ Convergence and almost sure polynomial stability of the backward and forward-backward Euler methods for highly nonlinear pantograph stochastic differential equations ⋮ Collapse of attractors for ODEs under small random perturbations ⋮ Stability of random attractors under perturbation and approximation

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