Periodic Travelling Waves in Dimer Granular Chains

Details Periodic Travelling Waves in Dimer Granular Chains Periodic Travelling Waves in Dimer Granular Chains

2012-04-17

arxiv.org/abs/1204.3909v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

We study bifurcations of periodic travelling waves in granular dimer chains from the anti-continuum limit, when the mass ratio between the light and heavy beads is zero. We show that every limiting periodic wave is uniquely continued with respect to the mass ratio parameter and the periodic waves with the wavelength larger than a certain critical value are spectrally stable. Numerical computations are developed to study how this solution family is continued to the limit of equal mass ratio between the beads, where periodic travelling waves of granular monomer chains exist.

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