Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields (Q2061617)
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scientific article; zbMATH DE number 7446157
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields |
scientific article; zbMATH DE number 7446157 |
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Hamiltonian nilpotent saddles of linear plus cubic homogeneous polynomial vector fields (English)
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15 December 2021
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In this paper, the authors completely characterize the global phase portraits in the Poincaré disk for all planar Hamiltonian vector fields with linear plus cubic homogeneous terms having a nilpotent saddle at the origin. To sum up, the method in this paper is technical and the result is interesting.
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polynomial Hamiltonian systems
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nilpotent saddle
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phase portrait
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Poincaré compactification
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0.9457785
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