• Corpus ID: 215828334

Morse index theorem for heteroclinic orbits of Lagrangian systems

@article{Hu2020MorseIT,
  title={Morse index theorem for heteroclinic orbits of Lagrangian systems},
  author={Xijun Hu and Alessandro Portaluri and Li Wu and Qin Xing},
  journal={arXiv: Dynamical Systems},
  year={2020}
}
The classical Morse Index Theorem plays a central role in Lagrangian dynamics and differential geometry. Although many generalization of this result are well-known, in the case of orbits of Lagrangian systems with self-adjoint boundary conditions parametrized by a finite length interval, essentially no results are known in the case of either heteroclinic or half-clinic orbits of Lagrangian systems. The main goal of this paper is to fill up this gap by providing a new version of the Morse index… 
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