Diffeomorphisms of the plane with stable periodic points (Q443976)
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scientific article; zbMATH DE number 6065256
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffeomorphisms of the plane with stable periodic points |
scientific article; zbMATH DE number 6065256 |
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Diffeomorphisms of the plane with stable periodic points (English)
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13 August 2012
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The paper under review deals with the study of self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic piont. In this setting, the author proves that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.
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