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Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term. - MaRDI portal

Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term. (Q1419074)

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scientific article; zbMATH DE number 2026975
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Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term.
scientific article; zbMATH DE number 2026975

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    Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term. (English)
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    14 January 2004
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    The authors study perturbed cubic Hamiltonian systems. In particular, using the detection function method, they show that such a nine-order perturbed system can have fourteen limit cycles. The position of these fourteen limit cycles are given by numerical exploration.
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    perturbed cubic Hamiltonian system
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    limit cycle
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