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On the cyclicity of a 2-polycycle for quadratic systems |
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| Authors: | Maoan Han Cheng Yang |
| Institution: | Department of Mathematics, Shanghai Jiao Tong University, 200030, Shanghai, PR China |
| Abstract: | It has been already known that the maximum number of limit cycles near a homoclinic loop of a quadratic Hamiltonian system under quadratic perturbations is two. However, the problem of finding the maximum number of limit cycles in the 2-polycycle case is still open. This paper addresses the problem in some detail and solves it partially. |
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