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arXiv · 2312.17466

Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli

Yuan Chang·Liqin Zhao·Qiuyi Wang
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Abstract

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.

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Yuan Chang, Liqin Zhao, Qiuyi Wang. 2023-12-29. Bifurcation of limit cycles for a class of cubic Hamiltonian systems with nesting period annuli. https://arxiv.org/abs/2312.17466

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