Periodic Travelling Waves in Diatomic Granular Chains

Thursday, December 6, 2012 - 3:15pm - 4:05pm
Keller 3-180
Dmitry Pelinovsky (McMaster University)
We study bifurcations of periodic travelling waves in diatomic granular 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.
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