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The Morse index theorem for mechanical systems with reflections
- Source :
- Nonlinearity 37 085006 (2024)
- Publication Year :
- 2023
-
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.<br />Comment: v2: 31 pages, added a Morse Index Theorem for composition of paths
Details
- Database :
- arXiv
- Journal :
- Nonlinearity 37 085006 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2308.16162
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1361-6544/ad5636