Corpus ID: 237635111

Linear instability of periodic orbits of free period Lagrangian systems

  title={Linear instability of periodic orbits of free period Lagrangian systems},
  author={Alessandro Portaluri and Li Wu and Ran Yang},
  • A. Portaluri, Li Wu, Ran Yang
  • Published 24 September 2021
  • Mathematics
In this paper we provide a sufficient condition for the linear instability of a periodic orbit for a free period Lagrangian system on a Riemannian manifold. The main result establish a general criterion for the linear instability of a maybe degenerate) periodic orbit admitting a orbit cylinder in terms to the parity of a suitable spectral index encoding the functional and symplectic property of the problem. AMS Subject Classification: 58E10, 53C22, 53D12, 58J30. 


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