Modulation of uniform motion in diatomic Frenkel-Kontorova model

Wen-Xin Qin

doi:10.3934/dcds.2014.34.3773

Article Contents

2014, Volume 34, Issue 9: 3773-3788. Doi: 10.3934/dcds.2014.34.3773

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Modulation of uniform motion in diatomic Frenkel-Kontorova model

Wen-Xin Qin^1,

1.
Department of Mathematics, Soochow University, Suzhou, 215006

Received: May 31, 2013

Revised: December 31, 2013

Published: August 2014

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Abstract

We study modulated structures of uniform motion in the diatomic Frenkel-Kontorova (FK) model with alternating light and heavy particles. By applying topological method for the damped and driven case and variational approach for the conservative case, we demonstrate for the diatomic FK model the existence of two different periodic modulation functions corresponding respectively to light and heavy particles.

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Mathematics Subject Classification: 34C15, 34C60, 34K13, 37K60, 49J35, 70F45.

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