Transversal homoclinic points and hyperbolic sets for non-autonomous maps. II (Q583682)
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scientific article; zbMATH DE number 4133168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transversal homoclinic points and hyperbolic sets for non-autonomous maps. II |
scientific article; zbMATH DE number 4133168 |
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Transversal homoclinic points and hyperbolic sets for non-autonomous maps. II (English)
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1988
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The paper continues the study performed by the author in [ibid. 39, No. 4, 518--549 (1988; Zbl 0672.58034)] where the concept of hyperbolic sets and transversal homoclinic points to non-autonomous systems has been generalized. The main result of this work is to exhibit conditions which imply the existence of transverse homoclinic orbits for such systems. In order, the method of Mel'nikov is generalized and the theory developed is applied to almost perturbed differential equations.
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hyperbolic sets
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existence
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transverse homoclinic orbits
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almost perturbed differential equations
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