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oai:docta.ucm.es:20.500.14352/584152023-08-26T21:48:38Zcom_20.500.14352_14col_20.500.14352_15

Gascón, Francisco G. Peralta Salas, Daniel Ruiz Sancho, Jesús María 2023-06-20T18:43:05Z 2023-06-20T18:43:05Z 2000-05 0022-2488 10.1063/1.533280 https://hdl.handle.net/20.500.14352/58415 http://jmp.aip.org/resource/1/jmapaq/v41/i5/p2922_s1 http://jmp.aip.org 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. eng restricted access A separation bound for non-Hamiltonian differential equations with proper first integrals journal article