@article{Mu2022, 
author = {Jiachen Mu and Duanzhi Zhang},
title = {Multiplicity of symmetric brake orbits of asymptotically linear symmetric reversible Hamiltonian systems},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {7},
pages = {2417-2427},
keywords = {reversible, symmetric brake orbits, Hamiltonian systems, Maslov-type index, asymptotic linear},
url = {https://www.sciopen.com/article/10.3934/era.2022123},
doi = {10.3934/era.2022123},
abstract = {In this paper, we give the relation between a relative Morse index for two continuous symmetric matrices paths in                      R                    2      n       satisfying condition (BS1) and the Maslov-type indices under symmetric brake orbit boundary value of these two symmetric matrices paths. As application, we obtain a multiple existence of symmetric brake orbit solutions of asymptotically linear symmetric reversible Hamiltonian systems.}
}