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arXiv · 1112.0399

Stability of Nonlinear Normal Modes in the FPU-$β$ Chain in the Thermodynamic Limit

G. M. Chechin·D. S. Ryabov
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Abstract

All possible symmetry-determined nonlinear normal modes (also called by simple periodic orbits, one-mode solutions etc.) in both hard and soft Fermi-Pasta-Ulam-$β$ chains are discussed. A general method for studying their stability in the thermodynamic limit, as well as its application for each of the above nonlinear normal modes are presented.

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G. M. Chechin, D. S. Ryabov. 2011-12-02. Stability of Nonlinear Normal Modes in the FPU-$β$ Chain in the Thermodynamic Limit. https://doi.org/10.1103/physreve.85.056601

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