On the Hamiltonian Structure of Non-Conservative Linear Flows
نویسنده
چکیده
We determine local Hamiltonians, Poisson structures and conserved measures for the linear ows on < 2 . We study ows around critical points as deformations of the harmonic oscillator (HO) and the free particle. In particular the damped harmonic oscillator (DHO) is Hamiltonian with respect to non-standard Poisson structures for all non-zero values of the damping constant. Treating the DHO as a deformation of the HO, its qualitative phases can be related to the geometry of the corresponding deformed Poisson structures.
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