Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899228 | Physica D: Nonlinear Phenomena | 2016 | 14 Pages |
Abstract
We use numerical and analytical tools to provide 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L.M. Lerman, J.D. Meiss,