%0 Journal Article
%A Díaz-Cano Ocaña, Antonio
%A Gonzalez Gascón, F.
%T Frontiers and symmetries of dynamical systems
%D 2010
%@ 1468-9367
%U https://hdl.handle.net/20.500.14352/42136
%X The frontiers of boundedness F(b) of the orbits of dynamical systems X defined on R(n) are studied. When X is completely integrable some topological properties of F(b) are found and, in certain cases, F(b) is localized with the help of symmetries of X. Several examples in dimensions 2 and 3 are provided. In case the number of known first integrals of the vector field X is less than n - 1, an interesting connection of F(b) with the frontier of boundedness of the level-sets of the first integrals of X is proved. This result also applies to Hamiltonian systems.
%~