Article ID Journal Published Year Pages File Type
4609841 Journal of Differential Equations 2016 36 Pages PDF
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
, , ,