On Hamiltonian submanifolds.
Popescu, Paul, Popescu, Marcela (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “A Lie connection between Hamiltonian and Lagrangian optics.”
On Hamiltonian submanifolds.
A general background of higher order geometry and induced objects on subspaces.
Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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Hamiltonian Dynamics on Pseudodifferential Symbols
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Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Miyaoka, R. (1999)
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On symmetries and constants of motion in Hamiltonian systems with nonholonomic constraints
Charles-Michel Marle (2003)
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E. Zenhder (1975)
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Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
Misha Bialy, Leonid Polterovich (1992)
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The hamiltonian formalism in higher order variational problems
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A simple proof of the non-integrability of the first and the second Painlevé equations
Henryk Żołądek (2011)
Banach Center Publications
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The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
On second order Hamiltonian systems
Dana Smetanová (2006)
Archivum Mathematicum
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The aim of the paper is to announce some recent results concerning Hamiltonian theory. The case of second order Euler–Lagrange form non-affine in the second derivatives is studied. Its related second order Hamiltonian systems and geometrical correspondence between solutions of Hamilton and Euler–Lagrange equations are found.