7 papers · 1 filter
Dynamical symmetries and the Ermakov invariant
F. Haas, J. Goedert
Ermakov systems possessing Noether point symmetry are identified among the Ermakov systems that derive from a Lagrangian formalism and, the Ermakov invariant is shown to result fro…
Comment on "A note on the construction of the Ermakov-Lewis invariant"
F. Haas, J. Goedert
We show that the basic results on the paper referred in the title [J. Phys. A: Math. Gen. v. 35 (2002) 5333-5345], concerning the derivation of the Ermakov invariant from Noether s…
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…
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…
Lie symmetries for two-dimensional charged particle motion
F. Haas, J. Goedert
We find the Lie point symmetries for non-relativistic two-dimensional charged particle motion. These symmetries comprise a quasi-invariance transformation, a time-dependent rotatio…
On the Hamiltonian structure of Ermakov systems
F. Haas, J. Goedert
A canonical Hamiltonian formalism is derived for a class of Ermakov systems specified by several different frequency functions. This class of systems comprises all known cases of H…