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Local and global behavior near homoclinic orbits - MaRDI portal

Local and global behavior near homoclinic orbits (Q1073426)

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scientific article; zbMATH DE number 3944908
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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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