Chaos in singular systems (Q1570416)
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scientific article; zbMATH DE number 1472038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Chaos in singular systems |
scientific article; zbMATH DE number 1472038 |
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Chaos in singular systems (English)
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6 January 2002
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The paper deals with chaotic behaviour of the Poincaré map. The author uses the notion of exponential dichotomy to prove the existence of a transverse homoclinic orbit. Based on the shadowing lemma she shows that the Poincaré map of the singular perturbed system under consideration is homeomorphic to the Bernoulli shift on a set of two symbols.
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