Convergence of Birkhoff normal forms for integrable systems.
Hidekazu Ito (1989)
Commentarii mathematici Helvetici
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Hidekazu Ito (1989)
Commentarii mathematici Helvetici
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Gary Chartrand, Hudson V. Kronk (1969)
Commentarii mathematici Helvetici
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Pierre-Yves Gaillard (1986)
Commentarii mathematici Helvetici
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Chiara Esposito (2015)
Banach Center Publications
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In this paper we recall the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group theories.
Alexander Ostrowski (1969)
Commentarii mathematici Helvetici
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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...