Attraction Rates, Robustness, and Discretization of Attractors

DOI10.1137/S003614290139411XzbMath1058.65081MaRDI QIDQ4443683

Lars Grüne

Publication date: 18 January 2004

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

convergencerobustnessattractordiscrete time dynamical systemsattraction ratenumerical one-step approximation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Numerical nonlinear stabilities in dynamical systems (65P40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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