On the Periodic Orbits of Four-Particle Time-Dependent FPU Chains

Hongwu Tang, Mingyan Xing, Qihuai Liu and Guirong Jiang

Advances in Mathematical Physics, 2018, vol. 2018, 1-13

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 and , 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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:4526917

DOI: 10.1155/2018/4526917

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