Linear stability of an elliptic relative equilibrium in the spatial \(n\)-body problem via index theory
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Publication:6069640
DOI10.1134/s1560354723040135OpenAlexW4387828183MaRDI QIDQ6069640
Xiuting Tang, Yuwei Ou, Xijun Hu
Publication date: 14 November 2023
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354723040135
Lagrangian submanifolds; Maslov index (53D12) (n)-body problems (70F10) Index theory for dynamical systems, Morse-Conley indices (37B30) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)
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