RT Journal Article
T1 A separation bound for non-Hamiltonian differential equations with proper first integrals
A1 Gascón, Francisco G.
A1 Peralta Salas, Daniel
A1 Ruiz Sancho, Jesús María
AB 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.
PB American Institute of Physics
SN 0022-2488
YR 2000
FD 2000-05
LK https://hdl.handle.net/20.500.14352/58415
UL https://hdl.handle.net/20.500.14352/58415
LA eng
DS Docta Complutense
RD 8 abr 2025