Let be a Riemannian manifold, a diffeomorphism and a compact hyperbolic set for . Then there is a neighborhood of such that for every there is an so that every -orbit (http://planetmath.org/PseudoOrbit) in is -shadowed by an orbit of .
Moreover, there is such that, if and if the pseudo-orbit is bi-infinite, then the shadowing orbit is unique; and if has a local product structure then the shadowing orbit is in .
|Date of creation||2013-03-22 14:07:22|
|Last modified on||2013-03-22 14:07:22|
|Last modified by||Koro (127)|