A shadowing theorem for ordinary differential equations

DOI10.1007/BF00952258zbMath0826.58027MaRDI QIDQ1805095

Brian A. Coomes, Hueseyin Kocak, Kenneth James Palmer

Publication date: 11 May 1995

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

shadowing propertyhyperbolic invariant setpseudo orbit

Mathematics Subject Classification ID

Asymptotic theory for ordinary differential equations (34E99) Dynamical systems with hyperbolic behavior (37D99)

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Global error analysis and inertial manifold reduction ⋮ Hyperbolic trajectories of time discretizations ⋮ Transversal connecting orbits from shadowing ⋮ Shadowing-Based Data Assimilation Method for Partially Observed Models ⋮ Shadowing orbits of ordinary differential equations on invariant submanifolds ⋮ Shadowing and Silnikov chaos ⋮ The Morse spectrum of linear flows on vector bundles ⋮ A survey of shadowing methods for numerical solutions of ordinary differential equations ⋮ Networked dynamical systems with linear coupling: Synchronisation patterns, coherence and other behaviours ⋮ A Mutation-Selection Model with Recombination for General Genotypes

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