A dihedral Bott-type iteration formula and stability of symmetric periodic orbits

DOI10.1007/s00526-020-1709-7zbMath1485.70008arXiv1705.09173OpenAlexW3005563178MaRDI QIDQ2296689

Alessandro Portaluri, Ran Yang, Xijun Hu

Publication date: 18 February 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.09173

zbMATH Keywords

linear stabilityspectral flowMaslov index3-body problemBott iteration formulaequivariant dihedral group action

Mathematics Subject Classification ID

Three-body problems (70F07) Lagrangian submanifolds; Maslov index (53D12) Spectral flows (58J30) Equivariant dynamical systems (37C81)

Related Items (6)

Bifurcations of balanced configurations for the Newtonian \(n\)-body problem in \(\mathbb{R}^4\) ⋮ Minimal \(P\)-cyclic periodic brake orbits in Hamiltonian systems ⋮ Decomposition of spectral flow and Bott-type iteration formula ⋮ Linear instability of periodic orbits of free period Lagrangian systems ⋮ Linear instability for periodic orbits of non-autonomous Lagrangian systems ⋮ Morse index theorem of Lagrangian systems and stability of brake orbit

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