Hyperbolic trajectories of time discretizations

DOI10.1016/j.na.2004.07.005zbMath1066.65155OpenAlexW2060723569MaRDI QIDQ1887978

Aaron Hagen

Publication date: 22 November 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.07.005

zbMATH Keywords

fixed pointsperiodic orbitspersistenceexponential dichotomyhyperbolicityshadowingtime discretizationLyapunov-Perron methodhyperbolic trajectoriesnumerical dynamicsstable/unstable manifoldslong time approximation

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems with hyperbolic orbits and sets (37D05) Numerical nonlinear stabilities in dynamical systems (65P40) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Cites Work

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