Traveling Waves for the Mass in Mass Model of Granular Chains

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Traveling Waves for the Mass in Mass Model of Granular Chains

In the present work, we consider the mass in mass (or mass with mass) system of granular chains, namely a granular chain involving additionally an internal resonator. For these chains, we rigorously establish that under suitable “anti-resonance” conditions connecting the mass of the resonator and the speed of the wave, bell-shaped traveling wave solutions continue to exist in the system, in a w...

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ژورنال

عنوان ژورنال: Letters in Mathematical Physics

سال: 2016

ISSN: 0377-9017,1573-0530

DOI: 10.1007/s11005-016-0854-6