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Analysis of the question whether or not a given dynamical system has closed trajectories is of great importance for applications and represents independent theoretical interest. The authors give a new geometrical proof of the extension of the Be[...]texto impreso
Gascón, Francisco G. ; Peralta Salas, Daniel ; Ruiz Sancho, Jesús María | American Institute of Physics | 2000-05It 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 run[...]
