Gauge-independent Hamiltonian reduction of constrained systems.
Muslih, S.I. (2002)
Journal of Applied Mathematics
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Muslih, S.I. (2002)
Journal of Applied Mathematics
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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.
Božidar Jovanović (2012)
Publications de l'Institut Mathématique
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Muslih, S.I. (2002)
International Journal of Mathematics and Mathematical Sciences
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Huang, Xuncheng, Tu, Guizhang (2006)
International Journal of Mathematics and Mathematical Sciences
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Gribanov, V.V., Kadyshevsky, V.G., Sorin, A.S. (2004)
Discrete Dynamics in Nature and Society
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Mauro Francaviglia, Demeter Krupka (1982)
Annales de l'I.H.P. Physique théorique
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Popescu, Marcela, Popescu, Paul (2002)
Balkan Journal of Geometry and its Applications (BJGA)
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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.