ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS
ZERO BIFURCATION DIAGRAMS FOR ABELIAN INTEGRALS: A STUDY ON HIGHER-ORDER HYPERELLIPTIC HAMILTONIAN SYSTEMS WITH THREE PERTURBATION PARAMETERS
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DOI：
10.11948/20200168
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Xianbo Sun;P. Yu
中科院分区：
文献类型：
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作者：
Xianbo Sun;P. Yu
本文用代数-几何方法给出了两个具有三个扰动参数的超椭圆哈密顿系统的阿贝尔积分的零分岔图。该方法可用于研究具有任意次多项式扰动的高阶哈密顿系统的分岔图。
In this paper, we present the zero bifurcation diagrams for the Abelian integrals of two hyperelliptic Hamiltonian systems with three perturbation parameters using an algebraic-geometric approach. The method can be used to study the bifurcation diagrams for higher-order Hamiltonian systems with polynomial perturbations of any degree.