Nonintegrability of the two-body problem in constant curvature spaces

DOI10.1088/0305-4470/39/20/011zbMath1122.70009arXivmath/0601382OpenAlexW3104166015MaRDI QIDQ5478555

Alexey V. Shchepetilov

Publication date: 13 July 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601382

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Two-body problems (70F05) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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