Periodic Dynamics of a Class of Non-autonomous Contact Hamiltonian Systems

被引：0
|
作者：
Li, Zhanyong [1 ]
Tang, Yaozong [1 ]
Bier, A. Mina Sha [1 ]
Ye, Jianguo [1 ]
机构：
[1] Kashi Univ, Sch Math & Stat, Xinjiang 844006, Ka Shi, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 02期
关键词：
Contact Hamiltonian system; Isolated periodic solution; Topological index of periodic solution; Asymptotic stability; MOTIONS;
D O I：
10.1007/s44198-022-00098-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence, number and stability of periodic orbits for the following contact Hamiltonian system H(p, q, s, t) = p(2)/2m + G(t, q, m) - mdq + cs(c > 0) . At the same time, unbounded conditions of each solution are also given. The contact Hamiltonian system actually represents a kind of physical phenomenon with non -conservation of energy, but the contact Hamiltonian system studied in this paper represents a one-dimensional damped oscillator system with constant variable sign damping coefficient under certain conditions. Therefore, it is of great physical significance to study the periodic dynamic properties of such system.
引用
收藏
页码：663 / 676
页数：14
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