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Exponential Dichotomy for Asymptotically Hyperbolic Two-Dimensional Linear Systems

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Abstract

We consider the problem of determining the existence of exponential dichotomy for a class of linear nonautonomous ODEs. An approach is explored that combines numerical techniques with rigorous perturbation theory. It is applicable to a given problem within the class we consider. Numerical results illustrate the utility of the approach.

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  1. Department of Mathematics, University of Kansas, Lawrence, KS, 66045, USA

    Weishi Liu & Erik S. Van Vleck

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  1. Weishi Liu
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  2. Erik S. Van Vleck
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Correspondence to Erik S. Van Vleck.

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Liu, W., Van Vleck, E.S. Exponential Dichotomy for Asymptotically Hyperbolic Two-Dimensional Linear Systems. J Dyn Diff Equat 22, 697–722 (2010). https://doi.org/10.1007/s10884-010-9170-5

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  • DOI: https://doi.org/10.1007/s10884-010-9170-5

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