Open AccessThe Existence and Upper Bound of Periodic Solutions for Two-Coupled-Oscillator Model in Optics Chiral Molecular Medium
Author(s) -
Xiaoyue Shi,
Jing Li,
Bin He,
Shaotao Zhu
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/562/1/012082
Subject(s) - curvilinear coordinates , planar , coordinate system , hamiltonian (control theory) , physics , hamiltonian system , classical mechanics , quantum mechanics , mathematics , geometry , computer science , mathematical optimization , computer graphics (images)
In this paper, we focus on the two-coupled-oscillator model in optics chiral molecular medium. We perform scale transformations for variables and study the existence of periodic solutions in detail for the two-coupled-oscillator system. We obtain the Melnikov function by establishing the curvilinear coordinate transformation and constructing a Poincaré map. Then the existence of periodic solutions of this oscillator system is analyzed when unperturbed system is Hamiltonian system. We apply them to discuss the upper bound of periodic solutions of this oscillator system and give the configuration of the phase diagram by numerical simulation. It has great theoretical significance to study the non-planar motion of the two-coupled-oscillator system for analyzing dynamic characteristics in optics chiral molecular medium.