Traveling waves in chains of pendula

Assieh Saadatpour, Mark Levi

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

The existence of traveling wave solutions for the discrete, forced, damped sine-Gordon equation, which serves as a model of arrays of Josephson junctions and coupled pendula, in the case of small coupling coefficient has been addressed before. In this paper we prove the existence of a discrete traveling wave in a lattice of coupled pendula with a large coupling coefficient in the presence of damping and forcing, and show the global stability of this wave.

Original languageEnglish (US)
Pages (from-to)68-73
Number of pages6
JournalPhysica D: Nonlinear Phenomena
Volume244
Issue number1
DOIs
StatePublished - Feb 1 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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