The paper uses Rabinowitz-Stredulinsky minimization to construct heteroclinic solutions (one or two directions) and more complex minimal Birkhoff solutions for rational rotation vectors in a generalized Frenkel-Kontorova model when adjacent periodic configurations exist.
Aubry, The twist map, the extended Frenkel-Kontorova model and the devil’s staircase, Physica D: Nonlinear Phenomena 7.1-3 (1983): 240-258
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Heteroclinic solutions for a generalized Frenkel-Kontorova model by minimization methods of Rabinowitz and Stredulinsky
The paper uses Rabinowitz-Stredulinsky minimization to construct heteroclinic solutions (one or two directions) and more complex minimal Birkhoff solutions for rational rotation vectors in a generalized Frenkel-Kontorova model when adjacent periodic configurations exist.