Multitransition solutions for a generalized Frenkel-Kontorova model

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
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