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

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 2 m + G ( t , q , m ) - m d q + c s ( c > 0 ) . At the same time, unbounded conditions of each solution are also given. The contact Hamiltoni...

Full description

Saved in:
Bibliographic Details
Published in:Journal of nonlinear mathematical physics 2023-06, Vol.30 (2), p.663-676
Main Authors: Li, Zhanyong, Tang, Yaozong, Sha Bier, A. Mina, Ye, Jianguo
Format: Article
Language:English
Subjects:
Damping
Energy conservation
Hamiltonian functions
Mathematical Physics
Mathematics
Mathematics and Statistics
Orbital stability
Orbits
Research Article
Research methodology
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 2 m + G ( t , q , m ) - m d q + c s ( 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.
ISSN:1776-0852
1402-9251
1776-0852
DOI:10.1007/s44198-022-00098-x