Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609841 | Journal of Differential Equations | 2016 | 36 Pages |
Abstract
For the generalized Frenkel–Kontorova model on high-dimensional lattices, we study the classification of Birkhoff minimizers with the same rotation vector which is rationally dependent. We introduce secondary invariants to distinguish Birkhoff minimizers with the same rotation vector and show that the collection of Birkhoff minimizers with the same secondary invariants is totally ordered. We also construct heteroclinic connections between neighboring Birkhoff minimizers which are more periodic.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xue-Qing Miao, Wen-Xin Qin, Ya-Nan Wang,