Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I (Q1120171)
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scientific article; zbMATH DE number 4100238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I |
scientific article; zbMATH DE number 4100238 |
Statements
Transversal homoclinic points and hyperbolic sets for non-autonomous maps. I (English)
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1988
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The concepts of hyperbolic sets and transversal homoclinic points are generalized to non-autonomous systems. The Shadowing Lemma for these systems is also proved, as well as the following: a system containing a hyperbolic set admits the ``time shift'' as a subsystem.
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Melnikov method
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hyperbolic sets
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homoclinic points
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