On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations (Q621005)
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scientific article; zbMATH DE number 5843684
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations |
scientific article; zbMATH DE number 5843684 |
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On existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations (English)
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2 February 2011
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The author establishes a criterion for the existence of homoclinic orbits for some types of autonomous quadratic systems of differential equations. Together with the Shilnikov Homoclinic Theorem, the existence of a chaotic attractor is guaranteed. Examples of chaotic attractors in the three-dimensional space are given.
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system of ordinary quadratic differential equations
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linear transformation
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boundedness
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negative definiteness
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homoclinic orbit
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chaotic attractor
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0.91759205
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0.9137258
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0.91013116
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0.9007397
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0.8956866
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