on the periodic orbits of four-particle time-dependent fpu chains
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ID: 146034
2018
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Abstract
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.
| Reference Key |
tang2018advanceson
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|---|---|
| Authors | ;Hongwu Tang;Mingyan Xing;Qihuai Liu;Guirong Jiang |
| Journal | theater |
| Year | 2018 |
| DOI |
10.1155/2018/4526917
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| URL | |
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