Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501659 | Journal of Differential Equations | 2005 | 13 Pages |
Abstract
In this paper, we study the problem of homoclinic orbits to Aubry sets for time-periodic positive definite Lagrangian systems. We show that there are infinitely many homoclinic orbits to some Aubry set under the conditions that the associated Mather set is uniquely ergodic and the first relative homology group of the projection of this Aubry set is nonzero.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiaojun Cui, Chong-Qing Cheng, Wei Cheng,