@article{Yu2022, 
author = {Guowei Yu},
title = {Heteroclinic orbits between static classes of time periodic Tonelli Lagrangian systems},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {6},
pages = {2283-2302},
keywords = {Lagrangian systems, heteroclinic orbits, action minimizers, Aubry-Mather theory},
url = {https://www.sciopen.com/article/10.3934/era.2022116},
doi = {10.3934/era.2022116},
abstract = {In this paper, we show the existence of heteroclinic orbits between two different static classes of the Aubry set of a Tonelli Lagrangian when the Aubry set has only finite static classes (which is a generic condition in the sense of Mañé) and the Mañé set satisfies certain isolated condition.}
}