On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains
Joint Authors
Liu, Qihuai
Tang, Hongwu
Xing, Mingyan
Jiang, Guirong
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the existence of the periodic orbits for four-particle time-dependent FPU chains.
To begin with, taking an orthogonal transformation and dropping two variables, we put the system into a lower dimensional system.
In this case, the unperturbed system has the linear spectra 2 and 2, which are rational independent.
Therefore, the classical averaging theory cannot be applied directly, and the existence and multiplicity of periodic orbits for four-particle FPU chains is proved by using a new result from averaging theory by Buică, Francoise, and Llibre.
American Psychological Association (APA)
Tang, Hongwu& Xing, Mingyan& Liu, Qihuai& Jiang, Guirong. 2018. On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119155
Modern Language Association (MLA)
Tang, Hongwu…[et al.]. On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains. Advances in Mathematical Physics No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1119155
American Medical Association (AMA)
Tang, Hongwu& Xing, Mingyan& Liu, Qihuai& Jiang, Guirong. On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119155
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119155
