| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897414 | Physica D: Nonlinear Phenomena | 2013 | 6 Pages |
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.
► We prove the existence of a traveling wave in lattices of coupled pendula. ► We show that the traveling wave is a global attractor. ► The wave that we find is born in a saddle–node bifurcation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Assieh Saadatpour, Mark Levi,