Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit
Dynamical Systems
2018-05-08 v1
Abstract
In this paper, we prove Morse index theorem of Lagrangian system with any self-adjoint boundary conditions. Based on it, we give some nontrivial estimation on the difference of Morse indices. As an application, we get a new criterion for the stability problem of brake periodic orbit.
Keywords
Cite
@article{arxiv.1805.02018,
title = {Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit},
author = {Xijun Hu and Li Wu and Ran Yang},
journal= {arXiv preprint arXiv:1805.02018},
year = {2018}
}
Comments
24 pages