A class of quadratic Hamiltonian systems under quadratic perturbation (Q5946679)
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scientific article; zbMATH DE number 1659378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of quadratic Hamiltonian systems under quadratic perturbation |
scientific article; zbMATH DE number 1659378 |
Statements
A class of quadratic Hamiltonian systems under quadratic perturbation (English)
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29 September 2002
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Here, a class of quadratic Hamiltonian systems with a quadratic perturbation is studied. The authors prove that if the first- and second-order Melnikov functions vanish, then the origin of the Hamiltonian system with a small perturbation is a center.
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Hamiltonian system
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Melnikov function
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center
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