Local and global behavior near homoclinic orbits (Q1073426)
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scientific article; zbMATH DE number 3944908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local and global behavior near homoclinic orbits |
scientific article; zbMATH DE number 3944908 |
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Local and global behavior near homoclinic orbits (English)
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1984
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We study the local behavior of systems near homoclinic orbits to stationary points of saddle-focus type. We explicitly describe how a periodic orbit approaches homoclinicity and, with the help of numerical examples, discuss how these results relate to global patterns of bifurcations.
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chaos
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period-doubling
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homoclinic orbits
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bifurcations
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