A deterministic displacement theorem for Poisson processes.
Knill, Oliver (1997)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Displaying similar documents to “Quantization of Poisson Hamiltonian systems”
A deterministic displacement theorem for Poisson processes.
The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems
Dong Eui Chang, Anthony M. Bloch, Naomi E. Leonard, Jerrold E. Marsden, Craig A. Woolsey (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The purpose of this paper is to show that the method of controlled Lagrangians and its Hamiltonian counterpart (based on the notion of passivity) are equivalent under rather general hypotheses. We study the particular case of simple mechanical control systems (where the underlying Lagrangian is kinetic minus potential energy) subject to controls and external forces in some detail. The equivalence makes use of almost Poisson structures (Poisson brackets that may fail to satisfy the Jacobi...
On embedding the 1:1:2 resonance space in a Poisson manifold.
Egilsson, Agust Sverrir (1995)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Linear hamiltonian circle actions that generate minimal Hilbert bases
Ágúst Sverrir Egilsson (2000)
Annales de l'institut Fourier
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The orbit space of a linear Hamiltonian circle action and the reduced orbit space, at zero, are examples of singular Poisson spaces. The orbit space inherits the Poisson algebra of functions invariant under the linear circle action and the reduced orbit space inherits the Poisson algebra obtained by restricting the invariant functions to the reduced space. Both spaces reside inside smooth manifolds, which in turn inherit almost Poisson structures from the Poisson varieties. In this paper...