Morse index theorem for heteroclinic, homoclinic and halfclinic orbits of Lagrangian systems

Autor:	Hu, Xijun, Portaluri, Alessandro, Wu, Li, Xing, Qin
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems Mathematics - Classical Analysis and ODEs 58J30 53D12 37C29 37J45 70K44 58J20
Druh dokumentu:	Working Paper
Popis:	The aim of this paper is to prove a new and general version of the Morse index theorem for heteroclinic, homoclinic and halfclinic solutions of general Lagrangian systems. In the last section we compute the Morse index of some heteroclinic and halfclinic solutions of some classical mechanical systems like the mathematical pendulum, the Nagumo equation and a competition-diffusion system in dimension 4. Comment: 36 pages, 2 figures. A new section of examples and some explicit computations has been added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.08643 Zobrazit plný text záznamu View this record from Arxiv