Lepagean 2-forms in higher order Hamiltonian mechanics. I. Regularity
Olga Krupková (1986)
Archivum Mathematicum
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Olga Krupková (1986)
Archivum Mathematicum
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A. Echeverría Enríquez, M. C. Muñoz Lecanda (1992)
Annales de l'I.H.P. Physique théorique
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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.