Mixed Dynamics in a Parabolic Standard Map
arXiv:1504.01197 · doi:10.1016/j.physd.2015.09.003
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.
laTeX, 31 pages, 15 figures