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• W2168891303 abstract "In this paper, we show that generic planar quadratic Hamiltonian systems with third degree polynomial perturbation can have eight small-amplitude limit cycles around a center. We use higher-order focus value computation to prove this result, which is equivalent to the computation of higher-order Melnikov functions. Previous results have shown, based on first-order and higher-order Melnikov functions, that planar quadratic Hamiltonian systems with third degree polynomial perturbation can have five or seven small-amplitude limit cycles around a center. The result given in this paper is a further improvement." @default.
• W2168891303 created "2016-06-24" @default.
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• W2168891303 date "2013-01-01" @default.
• W2168891303 modified "2023-09-23" @default.
• W2168891303 title "EIGHT LIMIT CYCLES AROUND A CENTER IN QUADRATIC HAMILTONIAN SYSTEM WITH THIRD-ORDER PERTURBATION" @default.
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• W2168891303 doi "https://doi.org/10.1142/s0218127413500053" @default.
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