Exact solutions for discrete breathers in forced-damped chain
Pattern Formation and Solitons
2015-06-11 v1 Statistical Mechanics
Exactly Solvable and Integrable Systems
Abstract
Exact solutions for symmetric discrete breathers (DBs) are obtained in forced-damped linear chain with on-site vibro-impact constraints. The damping is related to inelastic impacts; the forcing may be chosen from broad class of periodic antisymmetric functions. Global conditions for existence and stability of the DB are established. Some unusual phenomena, like non-monotonous dependence of the stability boundary on the forcing amplitude, are revealed analytically for the full system and illustrated numerically for small periodic lattices.
Cite
@article{arxiv.1210.1085,
title = {Exact solutions for discrete breathers in forced-damped chain},
author = {O. V. Gendelman},
journal= {arXiv preprint arXiv:1210.1085},
year = {2015}
}
Comments
13 pages, 10 figures