Attractors Under Discretisation

DOI10.1007/978-3-319-61934-7zbMath1381.65099OpenAlexW2743062345MaRDI QIDQ5349432

Xiaoying Han, Peter E. Kloeden

Publication date: 24 August 2017

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-61934-7

zbMATH Keywords

monographconvergenceinvarianceconsistencyLyapunov stabilitynumerical stabilitysaddle pointomega limit setshadowingdissipative systemnonautonomous systemlinear ODE systemautonomous attractorsone step finite differenceuniform pullback attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (6)

Existence and approximation of attractors for nonlinear coupled lattice wave equations ⋮ Numerical Attractors for Rough Differential Equations ⋮ Upper semi-continuous convergence of attractors for a Hopfield-type lattice model ⋮ Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity ⋮ Discretisation of global attractors for lattice dynamical systems ⋮ Rough Path Theory to Approximate Random Dynamical Systems

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