Geodesic
On second order Hamiltonian systems
Archivum mathematicum, Tome 42 (2006) no. 5, pp. 341-347 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 37J05, 58E30, 70S05
Keywords: Euler–Lagrange equations; Hamiltonian systems; Hamilton extremals; Dedecker–Hamilton extremals; Hamilton equations; Lepagean equivalents 
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     author = {Smetanov\'a, Dana},
     title = {On second order {Hamiltonian} systems},
     journal = {Archivum mathematicum},
     pages = {341--347},
     year = {2006},
     volume = {42},
     number = {5},
     mrnumber = {2322420},
     zbl = {1164.35304},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a20/}
}
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Smetanová, Dana. On second order Hamiltonian systems. Archivum mathematicum, Tome 42 (2006) no. 5, pp. 341-347. http://geodesic.mathdoc.fr/item/ARM_2006_42_5_a20/