Date of Award
Master of Science (MSc)
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 tends to 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.
Betti, Matthew I., "Periodic Travelling Waves in Diatomic Granular Crystals" (2012). Open Access Dissertations and Theses. Paper 6991.
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