Autonomous three-dimensional Newtonian systems which admit Lie and Noether point symmetries

DOI10.1088/1751-8113/45/27/275201zbMath1276.70016arXiv1111.0810OpenAlexW2091046609MaRDI QIDQ2901850

Michael Tsamparlis, Andronikos Paliathanasis, Leonidas Karpathopoulos

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1111.0810

zbMATH Keywords

integrable Hamiltonian systemRiemannian space

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

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