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Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms - MaRDI portal

Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms (Q2482547)

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Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms
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    Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms (English)
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    17 April 2008
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    The author studies existence, number, and distribution of limit cycles of a perturbed Hamiltonian system. Applying the Abelian integral method, he proves that, under seven-order perturbed terms, such a system can have at least thirteen limit cycles.
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    Hamiltonian system
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    perturbation
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    limit cycle
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    Abelian integral method
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