%0 Journal Article
%T Small oscillations on <IMG SRC="/img/revistas/ruma/v47n2/2a110x.png" WIDTH=27 HEIGHT=21>and Lie theory
%A Ovando
%A Gabriela
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2006
%I Uni¨®n Matem¨¢tica Argentina
%X making use of lie theory we propose a model for the simple harmonic oscillator and for the linear inverse pendulum of . in both cases the phase space are orbits of the coadjoint representation of the heisenberg lie group. these orbits and the heisenberg lie algebra are included in a solvable lie algebra admitting an ad-invariant metric. the corresponding quadratic form induces the hamiltonian and the associated hamiltonian system is a lax equation.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322006000200011&lng=en&nrm=iso&tlng=en