
arXiv: 1204.1801
Recently we proposed a generic construction of the additional integrals of motion for the St��ckel systems applying addition theorems to the angle variables. In this note we show some trivial examples associated with angle variables for elliptic and parabolic coordinate systems on the plane.
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, addition theorems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, separation of variables, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), integrability, superintegrability, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, 70H20, 70G55, QA1-939, FOS: Mathematics, Abel equations, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), bility, Mathematics, Mathematical Physics
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, addition theorems, Nonlinear Sciences - Exactly Solvable and Integrable Systems, separation of variables, FOS: Physical sciences, Mathematical Physics (math-ph), Dynamical Systems (math.DS), integrability, superintegrability, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, 70H20, 70G55, QA1-939, FOS: Mathematics, Abel equations, Mathematics - Dynamical Systems, Exactly Solvable and Integrable Systems (nlin.SI), bility, Mathematics, Mathematical Physics
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