1985/12/01 by B. Dorizzi, Bernadette Dorizzi, B. Grammaticos +2 · 3 citations
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Protein Structure and Dynamics
paper · doi:10.1063/1.526685
The integrability of a two-dimensional Hamiltonian in which the potential depends explicitly on the momenta is investigated. Hamiltonians of this kind are encountered in the description of the motion of a particle in a magnetic field. Two integrable classes of potentials are identified and the second integral of motion is constructed for each of them. The singularity analysis of the equations of motion is also performed, confirming once more the relation between the (weak) Painlevé property and integrability.