Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop
Bifurcation of Limit Cycles from a Non-Hamiltonian Quadratic Integrable System with Homoclinic Loop
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DOI：
10.1007/978-1-4614-4523-4_18
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Yulin Zhao;Huaiping Zhu
中科院分区：
文献类型：
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作者：
Yulin Zhao;Huaiping Zhu
在这一章中，我们研究了具有同宿环的非Hamilton二次可积系统的二次扰动。我们证明了扰动系统在有限相平面上至多有两个极限环，且有界是精确的。证明依赖于相关的阿贝尔积分的零点的数量的估计。
In this chapter, we study quadratic perturbations of a non-Hamiltonian quadratic integrable system with a homoclinic loop. We prove that the perturbed system has at most two limit cycles in the finite phase plane, and the bound is exact. The proof relies on an estimation of the number of zeros of related Abelian integrals.