Abstract

TORRES DEL CASTILLO, G.F.  and  RUBALCAVA GARCIA, I.. Hamiltonians and Lagrangians of non-autonomous one-dimensional mechanical systems. Rev. mex. fis. [online]. 2006, vol.52, n.5, pp.429-432. ISSN 0035-001X.

It is shown that a given non-autonomous system of two first-order ordinary differential equations can be expressed in Hamiltonian form. The derivation presented here allows us to obtain previously known results such as the infinite number of Hamiltonians in the autonomous case and the Helmholtz condition for the existence of a Lagrangian.

Keywords : Non-autonomous systems; Hamilton equations; Lagrangians.

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