On the number of limit cycles of a Z4-equivariant quintic polynomial system |
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| Authors: | Weijiao Xu Maoan Han |
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| Institution: | 1. LMIB-School of Mathematics and Systems Science, Beihang University, Beijing 100191, China;2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China |
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| Abstract: | In this paper we study the number of limit cycles of a near-Hamiltonian system under Z4-equivariant quintic perturbations. Using the methods of Hopf and heteroclinic bifurcation theory, we found that the perturbed system can have 13 limit cycles. |
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