Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866913181077602304 |
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| author | Chang, Yuan Zhao, Liqin Wang, Qiuyi |
| author_facet | Chang, Yuan Zhao, Liqin Wang, Qiuyi |
| contents | In this paper, we obtain the upper bound of the number of zeros of Abelian integral for a class of cubic Hamiltonian systems with nesting period annuli under perturbations of polynomials of degree n. Furthermore, we consider the Hopf and homoclinic bifurcation when a=-1,b=-2,c=1 and n=3, and obtain 18 distributions in which system has at least 3 limit cycles for each case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17466 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli Chang, Yuan Zhao, Liqin Wang, Qiuyi Dynamical Systems Classical Analysis and ODEs In this paper, we obtain the upper bound of the number of zeros of Abelian integral for a class of cubic Hamiltonian systems with nesting period annuli under perturbations of polynomials of degree n. Furthermore, we consider the Hopf and homoclinic bifurcation when a=-1,b=-2,c=1 and n=3, and obtain 18 distributions in which system has at least 3 limit cycles for each case. |
| title | Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli |
| topic | Dynamical Systems Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2312.17466 |