Nonexistence and existence of various order integrals for two- and three-dimensional polynomial potentials

DOI10.1063/1.529024zbMath0706.70013OpenAlexW1971974410MaRDI QIDQ3486900

Paul W. Cleary

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.529024

zbMATH Keywords

fourth degree polynomialsnonexistence of integrals of the motionquartic polynomial potentialssixth-order integralsthree-dimensional cubic potentials

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (1)

Normalization and existence of invariant ray solutions of a 2-DOF autonomous Hamiltonian system with null frequencies

Cites Work

• A theory of exact and approximate configurational invariants
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes

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