A unified treatment of quartic invariants at fixed and arbitrary energy

DOI10.1063/1.1483107zbMath1060.37044arXivnlin/0110021OpenAlexW2085541679MaRDI QIDQ4832707

Giuseppe Pucacco, Max Karlovini, Lars Samuelsson, Kjell Rosquist

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/nlin/0110021

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Geodesic flows in symplectic geometry and contact geometry (53D25)

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Cites Work

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• A unified treatment of cubic invariants at fixed and arbitrary energy
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• Hamiltonians with high-order integrals and the ‘‘weak-Painlevé’’ concept
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• Invariants at fixed and arbitrary energy. A unified geometric approach