Hyperbolic trajectories of time discretizations (Q1887978)
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scientific article; zbMATH DE number 2117565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyperbolic trajectories of time discretizations |
scientific article; zbMATH DE number 2117565 |
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Hyperbolic trajectories of time discretizations (English)
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22 November 2004
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The authors investigate the hyperbolic trajectories of time discretizations. They address the problem of persistence of the trajectories of time discretizations. Conditions which guarantee the existence of a mirror trajectory for the underling vector field are given. Estimates are provided for the important quantities in terms of the problem parameters. In addition the Lyapunov-Perron method is implemented as a numerical algorithm for stable/unstable manifolds of fixed points. The authors also provide the foundation for a rigorous implementation of the Lyapunov-Perron method for computing the trajectories, for example periodic orbits.
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hyperbolicity
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shadowing
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time discretization
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periodic orbits
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fixed points
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Lyapunov-Perron method
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stable/unstable manifolds
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numerical dynamics
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long time approximation
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exponential dichotomy
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hyperbolic trajectories
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persistence
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