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arXiv · 1805.02018

Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit

Xijun Hu·Li Wu·Ran Yang
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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.

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Xijun Hu, Li Wu, Ran Yang. 2018-05-05. Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit. https://arxiv.org/abs/1805.02018

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