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Periodic Travelling Waves in Diatomic Granular Crystals

<p>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.</p> / Master of Science (MSc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/12075
Date10 1900
CreatorsBetti, Matthew I.
ContributorsPelinovsky, Dmitry, Mathematics
Source SetsMcMaster University
Detected LanguageEnglish
Typethesis

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