Mixed Dynamics in a Parabolic Standard Map
Chaotic Dynamics
2016-02-09 v1
Abstract
We use numerical and analytical tools to demonstrate arguments in favor of the existence of a family of smooth, symplectic diffeomorphisms of the two-dimensional torus that have both a positive measure set with positive Lyapunov exponent and a positive measure set with zero Lyapunov exponent. The family we study is the unfolding of an almost-hyperbolic diffeomorphism on the boundary of the set of Anosov diffeomorphisms, proposed by Lewowicz.
Cite
@article{arxiv.1504.01197,
title = {Mixed Dynamics in a Parabolic Standard Map},
author = {L. M. Lerman and J. D. Meiss},
journal= {arXiv preprint arXiv:1504.01197},
year = {2016}
}
Comments
laTeX, 31 pages, 15 figures