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arXiv · 2109.12022

Linear instability of periodic orbits of free period Lagrangian systems

Alessandro Portaluri·Li Wu·Ran Yang
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Abstract

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.

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Alessandro Portaluri, Li Wu, Ran Yang. 2021-09-24. Linear instability of periodic orbits of free period Lagrangian systems. https://arxiv.org/abs/2109.12022

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