Periodic Travelling Waves in Diatomic Granular Crystals

dc.contributor.advisor	Pelinovsky, Dmitry	en_US
dc.contributor.author	Betti, Matthew I.	en_US
dc.contributor.department	Mathematics	en_US
dc.date.accessioned	2014-06-18T16:58:10Z
dc.date.available	2014-06-18T16:58:10Z
dc.date.created	2012-05-28	en_US
dc.date.issued	2012-10	en_US
dc.description.abstract	<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>	en_US
dc.description.degree	Master of Science (MSc)	en_US
dc.identifier.other	opendissertations/6991	en_US
dc.identifier.other	8032	en_US
dc.identifier.other	2918988	en_US
dc.identifier.uri	http://hdl.handle.net/11375/12075
dc.subject	physics	en_US
dc.subject	granular chains	en_US
dc.subject	applied mathematics	en_US
dc.subject	travelling waves	en_US
dc.subject	lattice	en_US
dc.subject	Non-linear Dynamics	en_US
dc.subject	Ordinary Differential Equations and Applied Dynamics	en_US
dc.subject	Other Physics	en_US
dc.subject	Non-linear Dynamics	en_US
dc.title	Periodic Travelling Waves in Diatomic Granular Crystals	en_US
dc.type	thesis	en_US

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