Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit
arXiv:1805.02018
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.
24 pages