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

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

2011-12-02

arxiv.org/abs/1112.0399v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

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-$\beta$ 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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