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math-ph2002
On the linearization of the generalized Ermakov systems
F. Haas, J. Goedert
A linearization procedure is proposed for Ermakov systems with frequency depending on dynamic variables. The procedure applies to a wide class of generalized Ermakov systems which…
math-ph2002
On the generalized Hamiltonian structure of 3D dynamical systems
F. Haas, J. Goedert
The Poisson structures for 3D systems possessing one constant of motion can always be constructed from the solution of a linear PDE. When two constants of the motion are available…