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

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-$\beta$ 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.

References in corpus (1)

• Stability of Simple Periodic Orbits and Chaos in a Fermi -- Pasta -- Ulam Lattice

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