Bibliographic Details
Title: |
Multitransition solutions for a generalized Frenkel-Kontorova model |
Authors: |
Li, Wen-Long, Cui, Xiaojun |
Publication Year: |
2020 |
Collection: |
Mathematics |
Subject Terms: |
Mathematics - Dynamical Systems, 35A15, 37K60, 74G25, 74G35 |
More Details: |
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. Comment: 22 pages |
Document Type: |
Working Paper |
Access URL: |
http://arxiv.org/abs/2004.04868 |
Accession Number: |
edsarx.2004.04868 |
Database: |
arXiv |