On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/4526917 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553294358118400 |
|---|---|
| author | Hongwu Tang Mingyan Xing Qihuai Liu Guirong Jiang |
| author_facet | Hongwu Tang Mingyan Xing Qihuai Liu Guirong Jiang |
| author_sort | Hongwu Tang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d361a4ec935a4e86b53a30bd0bde62ed |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d361a4ec935a4e86b53a30bd0bde62ed2025-02-03T05:54:24ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/45269174526917On the Periodic Orbits of Four-Particle Time-Dependent FPU ChainsHongwu Tang0Mingyan Xing1Qihuai Liu2Guirong Jiang3School of Mathematics and Statistics, Central South University, Changsha 410083, ChinaSchool of Mathematics and Computing Sciences, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541002, ChinaSchool of Mathematics and Computing Sciences, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541002, ChinaSchool of Mathematics and Computing Sciences, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541002, ChinaWe 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.http://dx.doi.org/10.1155/2018/4526917 |
| spellingShingle | Hongwu Tang Mingyan Xing Qihuai Liu Guirong Jiang On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains Advances in Mathematical Physics |
| title | On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains |
| title_full | On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains |
| title_fullStr | On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains |
| title_full_unstemmed | On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains |
| title_short | On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains |
| title_sort | on the periodic orbits of four particle time dependent fpu chains |
| url | http://dx.doi.org/10.1155/2018/4526917 |
| work_keys_str_mv | AT hongwutang ontheperiodicorbitsoffourparticletimedependentfpuchains AT mingyanxing ontheperiodicorbitsoffourparticletimedependentfpuchains AT qihuailiu ontheperiodicorbitsoffourparticletimedependentfpuchains AT guirongjiang ontheperiodicorbitsoffourparticletimedependentfpuchains |