Pattern formation and localization in the forced-damped FPU lattice

Details Pattern formation and localization in the forced-damped FPU lattice Pattern formation and localization in the forced-damped FPU lattice

2001-07-02

arxiv.org/abs/nlin/0107002v1

Nonlinear Sciences

Pattern Formation and Solitons

submitted to Phys.Rev.E

Scientific paper

10.1103/PhysRevE.64.056606

We study spatial pattern formation and energy localization in the dynamics of an anharmonic chain with quadratic and quartic intersite potential subject to an optical, sinusoidally oscillating field and a weak damping. The zone-boundary mode is stable and locked to the driving field below a critical forcing that we determine analytically using an approximate model which describes mode interactions. Above such a forcing, a standing modulated wave forms for driving frequencies below the band-edge, while a ``multibreather'' state develops at higher frequencies. Of the former, we give an explicit approximate analytical expression which compares well with numerical data. At higher forcing space-time chaotic patterns are observed.

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