The Morse index theorem for mechanical systems with reflections

Autor:	Wunsch, Jared, Yang, Mengxuan, Zou, Yuzhou
Rok vydání:	2023
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Classical Analysis and ODEs Mathematics - Dynamical Systems
Zdroj:	Nonlinearity 37 085006 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-6544/ad5636
Popis:	We prove a Morse index theorem for action functionals on paths that are allowed to reflect at a hypersurface (either in the interior or at the boundary of a manifold). Both fixed and periodic boundary conditions are treated. Comment: v2: 31 pages, added a Morse Index Theorem for composition of paths
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.16162 Zobrazit plný text záznamu View this record from Arxiv