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.
@article{108040,
author = {Dana Smetanov\'a},
title = {On second order Hamiltonian systems},
journal = {Archivum Mathematicum},
volume = {042},
year = {2006},
pages = {341-347},
zbl = {1164.35304},
mrnumber = {2322420},
language = {en},
url = {http://dml.mathdoc.fr/item/108040}
}
Smetanová, Dana. On second order Hamiltonian systems. Archivum Mathematicum, Tome 042 (2006) pp. 341-347. http://gdmltest.u-ga.fr/item/108040/
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