The regularized free fall I -- Index computations

Abstract

Main results are, firstly, a generalization of the Conley-Zehnder index from ODEs to the delay equation at hand and, secondly, the equality of the Morse index and the clockwise normalized Conley-Zehnder index.

arXiv comment34 pages, 5 figures, v2: change of notation

References in corpus (6)

• Floer homology and the heat flow
• Perturbed closed geodesics are periodic orbits: Index and Transversality
• A compactness result for non-local unregularized gradient flow lines
• The shift map on Floer trajectory spaces
• Hamiltonian delay equations -- examples and a lower bound for the number of periodic solutions
• Topological Methods in the Quest for Periodic Orbits

Cited by in corpus (3)

• A variational approach to frozen planet orbits in helium
• Nondegeneracy and integral count of frozen planet orbits in helium
• The regularized free fall II -- Homology computation via heat flow