Integrable Hamiltonian systems with velocity-dependent potentials
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Publication:3711798
DOI10.1063/1.526685zbMath0586.70013OpenAlexW2062684694MaRDI QIDQ3711798
Basile Grammaticos, Alfred Ramani, Pavel Winternitz, Bernadette Dorizzi
Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526685
Painlevé propertyintegrabilitysingularity analysisclasses of potentialstwo-dimensional Hamiltoniansecond integral of motionmotion of a particle in a magnetic field
Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton-Jacobi equations in mechanics (70H20)
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Cites Work
- A theory of exact and approximate configurational invariants
- Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
- Explicit integrability for Hamiltonian systems and the Painlevé conjecture
- Integrable models of motion of two interacting particles in the external field
- Construction of new integrable Hamiltonians in two degrees of freedom
