Traveling waves in chains of pendula

Assieh Saadatpour, Mark Levi

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

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coupling coefficients
traveling waves
Josephson junctions
damping

All Science Journal Classification (ASJC) codes

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

Cite this

Saadatpour, Assieh ; Levi, Mark. / Traveling waves in chains of pendula. In: Physica D: Nonlinear Phenomena. 2013 ; Vol. 244, No. 1. pp. 68-73.
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Traveling waves in chains of pendula. / Saadatpour, Assieh; Levi, Mark.

In: Physica D: Nonlinear Phenomena, Vol. 244, No. 1, 01.02.2013, p. 68-73.

Research output: Contribution to journalArticle

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