Bifurcations into pathology for Hamiltonian systems (Q1107003)
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scientific article; zbMATH DE number 4063571
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations into pathology for Hamiltonian systems |
scientific article; zbMATH DE number 4063571 |
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Bifurcations into pathology for Hamiltonian systems (English)
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1988
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A two degrees of freedom potential (Hamiltonian) system is considered where the origin is a non-degenerate local maximum. The total energy level is considered as a bifurcation parameter. In the example treated periodic orbits bifurcate at a certain energy level through simultaneous homoclinic bifurcations. Introducing a second bifurcation parameter a still higher pathology occurs at a critical value.
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freedom potential
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bifurcation parameter
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simultaneous homoclinic bifurcations
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