The regularized free fall. I: Index computations

DOI10.1134/S1061920821040063zbMath1485.37061arXiv2102.01688MaRDI QIDQ825089

Urs Adrian Frauenfelder, Joa Weber

Publication date: 17 December 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.01688

zbMATH Keywords

Morse indexMaslov cycleConley-Zehnder indexLagrangian action functional

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Lagrangian submanifolds; Maslov index (53D12) Index theory for dynamical systems, Morse-Conley indices (37B30) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

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

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