Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/12075
Title: | Periodic Travelling Waves in Diatomic Granular Crystals |
Authors: | Betti, Matthew I. |
Advisor: | Pelinovsky, Dmitry |
Department: | Mathematics |
Keywords: | physics;granular chains;applied mathematics;travelling waves;lattice;Non-linear Dynamics;Ordinary Differential Equations and Applied Dynamics;Other Physics;Non-linear Dynamics |
Publication Date: | Oct-2012 |
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> |
URI: | http://hdl.handle.net/11375/12075 |
Identifier: | opendissertations/6991 8032 2918988 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
File | Size | Format | |
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fulltext.pdf | 1.5 MB | Adobe PDF | View/Open |
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