The relation between a flow and its discretization (original) (raw)
AI-generated Abstract
It is proved that the h-time map of a hyperbolic flow and its h-discretization are uniformly topologically conjugate for each small positive h.
Sign up for access to the world's latest research.
checkGet notified about relevant papers
checkSave papers to use in your research
checkJoin the discussion with peers
checkTrack your impact
Related papers
On iteration groups of singularity-free homeomorphisms of the plane
1994
Let D be a simply connected region on the plane. We prove that a continuous iteration group of homeomorphisms {/':<€ %• } defined on D is of the form f'(x) = v > 1 + tej) for z € D, t e 1, where e\ =(1,0) and <p is a homeomorphism mapping D onto 1, if and only if / is a singularity-free homeomorphism, i.e. /> =: / has the property that for every Jordan domain B C D there exists an integer n 0 such that Bn/"[S] = 0for |n| >n 0 , n € Z.
Stable and unstable manifolds of the H�non mapping
Journal of Statistical Physics, 1981
By using a parametric representation of the stable and unstable manifolds, we prove that for some given values of the parameter (in particular in the case first investigated by H~non) the H~non mapping has a transversal homoclinic orbit.
Loading Preview
Sorry, preview is currently unavailable. You can download the paper by clicking the button above.