%0 Journal Article
%A Gascón, Francisco G.
%A Peralta Salas, Daniel
%A Ruiz Sancho, Jesús María
%T A separation bound for non-Hamiltonian differential equations with proper first integrals
%D 2000
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/58415
%X It is shown that when a dynamical system X0 with a proper set of global first integrals is perturbed, the phase space region accessible to the orbits of the perturbed vector field X0+Xp is bounded (we are assuming here that the time variable runs over a finite interval). A polynomial new bound is obtained for the separation between the solutions of X0 and X0+Xp. Perturbations near an equilibrium point of X0 are also considered.
%~