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A cubic system with thirteen limit cycles |
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| Authors: | Chengzhi Li |
| Affiliation: | a LMAM, Department of Mathematics, Peking University, Beijing 100871, China b School of Mathematical Sciences, Suzhou University, Suzhou 215006, China |
| Abstract: | We construct a planar cubic system and demonstrate that it has at least 13 limit cycles. The construction is essentially based on counting the number of zeros of some Abelian integrals. |
| Keywords: | Cubic system Limit cycles Abelian integral Hilbert's 16th problem |
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