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Cyclicity of homoclinic loops and degenerate cubic Hamiltonians |
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| Authors: | Han Maoan Ye Yanqian Zhu Deming |
| Affiliation: | 1. Department of Mathematics, Shanghai Jiaotong University, 200030, Shanghai, China 2. Department of Mathematics, Nanjing University, 210008, Nanjing, China 3. Department of Mathematics, East China Normal University, 200062, Shanghai, China |
| Abstract: | New conditions for a planar homoclinic loop to have cyclicity two under multiple parameter perturbations have been obtained. As an application it is proved that a homoclinic loop of a nongeneric cubic Hamiltonian has cyclicity two under arbitrary quadratic perturbations. |
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