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Morse Index Theorem of Lagrangian Systems and Stability of Brake Orbit

Published 5 May 2018 in math.DS | (1805.02018v1)

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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Authors (3)

  1. Xijun Hu 
  2. Li Wu 
  3. Ran Yang 

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