Homoclinic orbits and Lie rotated vector fields (Q1587327)
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scientific article; zbMATH DE number 1533035
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homoclinic orbits and Lie rotated vector fields |
scientific article; zbMATH DE number 1533035 |
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Homoclinic orbits and Lie rotated vector fields (English)
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20 November 2000
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The authors consider parameter-dependent autonomous systems which have a fixed saddle-point with a homoclinic path in the unperturbed state. Using Lie rotated vector fields, properties of the perturbed homoclinic path are determined including the appearance of limit cycles. Several examples are included.
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homoclinic orbits
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saddle-point
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Lie rotated vector fields
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limit cycles
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