\(N\)-body dynamics on an infinite cylinder: the topological signature in the dynamics
DOI10.1134/S1560354720010086zbMath1454.37055OpenAlexW3007801702MaRDI QIDQ2176443
Stefanella Boatto, Jaime Andrade, Gladston Duarte, Thierry Combot, Teresinha J. Stuchi
Publication date: 4 May 2020
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1560354720010086
Poincaré sectionsHodge decompositionstability of relative equilibriadifferential Galois theory\(N\)-body problemcentral forces on manifoldstopplogy and integrability
Hamilton's equations (70H05) Applications of differential geometry to physics (53Z05) (n)-body problems (70F10) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Dynamical systems methods for problems in mechanics (70G60)
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