41 citations · 149 across the 10 of their papers we have counts for
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math-ph2002★ 20 cited
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★ 32 cited
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…
math-ph2002★ 22 cited
On the Lie symmetries of a class of generalized Ermakov systems
J. Goedert, F. Haas
The symmetry analysis of Ermakov systems is extended to the generalized case where the frequency depends on the dynamical variables besides time. In this extended framework, a whol…