Multitransition solutions for a generalized Frenkel-Kontorova model
Dynamical Systems
2020-04-13 v1
Abstract
We study a generalized Frenkel-Kontorova model. Using minimal and Birkhoff solutions as building blocks, we construct a lot of homoclinic solutions and heteroclinic solutions for this generalized Frenkel-Kontorova model under gap conditions. These new solutions are not minimal and Birkhoff any more. We use constrained minimization method to prove our results.
Cite
@article{arxiv.2004.04868,
title = {Multitransition solutions for a generalized Frenkel-Kontorova model},
author = {Wen-Long Li and Xiaojun Cui},
journal= {arXiv preprint arXiv:2004.04868},
year = {2020}
}
Comments
22 pages