Shadowing orbits of a class of random differential equations

DOI10.1016/j.apnum.2018.10.010zbMath1408.37047OpenAlexW2898590633WikidataQ129035118 ScholiaQ129035118MaRDI QIDQ1633326

Qingyi Zhan

Publication date: 19 December 2018

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2018.10.010

zbMATH Keywords

orbitsBrouwer's fixed point theoremshadowingrandom dynamical systemnumerical algorithmsrandom differential equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generation, random and stochastic difference and differential equations (37H10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (5)

On shadowing system generated by a uniformly convergent mappings sequence ⋮ Symplectic numerical integration for Hamiltonian stochastic differential equations with multiplicative Lévy noise in the sense of Marcus ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations ⋮ Numerical study on stochastic diabetes mellitus model with additive noise ⋮ Numerical implementation of finite-time shadowing of stochastic differential equations

Cites Work

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• Optimal point-wise error estimate of a compact difference scheme for the coupled Gross-Pitaevskii equations in one dimension
• Topics in geophysical fluid dynamics: atmospheric dynamics, dynamo theory, and climate dynamics
• SHADOWING PROPERTIES OF RANDOM HYPERBOLIC SETS
• Discretization of a Random Dynamical System near a Hyperbolic Point

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