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We demonstrate via numerical simulation that in the \textit{strongly}nonlinear limit, the $\beta$-FPU system in thermal equilibrium behavessurprisingly like weakly nonlinear waves in properly renormalized normalvariables. This arises because the collective effect of strongly nonlinearinteractions effectively renormalizes linear dispersion frequency and leads toeffectively weak interaction among these renormalized waves. Furthermore, weshow that the dynamical scenario for thermalized $\beta$-FPU chains isspatially highly localized discrete breathers riding chaotically on spatiallyextended, renormalized waves

physical review letters

Renormalized Waves and Discrete Breathers in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>-Fermi-Pasta-Ulam Chains

Renormalized Waves and Discrete Breathers inβ-Fermi-Pasta-Ulam Chains