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- W2112612898 abstract "We consider homoclinic orbits in non-autonomous discrete time dynamical systems of the form where it is assumed that an n independent fixed point exists. A numerical method for computing finite approximations of transversal homoclinic orbits is introduced and a detailed error analysis is presented. The non-autonomous setup requires special tools. We prove that the analytic condition of transversality of the orbit corresponds to a transversal intersection of the corresponding invariant fiber bundles. The approximation method and the validity of the error estimate is illustrated by an example." @default.
- W2112612898 created "2016-06-24" @default.
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- W2112612898 date "2006-11-01" @default.
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- W2112612898 title "Homoclinic orbits of non-autonomous maps and their approximation" @default.
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- W2112612898 doi "https://doi.org/10.1080/10236190601045713" @default.
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