The Morse index theorem for mechanical systems with reflections

Author:

Jared Wunsch, Mengxuan Yang, Yuzhou Zou

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Mathematical Physics (math-ph), Classical Analysis and ODEs (math.CA), Dynamical Systems (math.DS)

journal:

date:

2023-08-29 16:00:00

Abstract

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.

PDF: The Morse index theorem for mechanical systems with reflections.pdf