Linear instability of periodic orbits of free period Lagrangian systems

Autor:	Portaluri, Alessandro, Wu, Li, Yang, Ran
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs 58E10 53C22 53D12 58J30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 33 pages, no figure. Comments are welcome! arXiv admin note: substantial text overlap with arXiv:1907.05864
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.12022 Zobrazit plný text záznamu View this record from Arxiv