A criterion for weak homoclinic attractor in \(\mathbb{R}^ 3\) (Q1210249)
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scientific article; zbMATH DE number 178005
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for weak homoclinic attractor in \(\mathbb{R}^ 3\) |
scientific article; zbMATH DE number 178005 |
Statements
A criterion for weak homoclinic attractor in \(\mathbb{R}^ 3\) (English)
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24 May 1993
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Using the normal forms, the criteria for stability and instability of a homoclinic orbit to certain autonomous three-dimensional systems are obtained. By stability or instability it is meant whether or not the homoclinic orbit is a weak (homoclinic) attractor or repellor, respectively.
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normal forms
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stability
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instability
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homoclinic orbit
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autonomous three- dimensional systems
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attractor
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repellor
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