Perturbation from an asymmetric cubic Hamiltonian |
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Authors: | Tonghua Zhang Maoan Han Hong Zang |
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Affiliation: | Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China |
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Abstract: | This paper concerns with the number of limit cycles from an asymmetric Hamiltonian of degree three under cubic perturbation. Eleven limit cycles are found and three different distributions are given by using the methods of bifurcation theory and qualitative analysis, two of which are new. |
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Keywords: | Bifurcation Limit cycle Hamiltonian system Stability Hilbert's 16th problem |
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