Mixed dynamics in a parabolic standard map

作者：Lerman L M; Meiss J D^*

来源：Physica D: Nonlinear Phenomena , 2016, 315: 58-71.

DOI：10.1016/j.physd.2015.09.003

• Non-uniform hyperbolicity
• Elliptic periodic orbits

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.

• 出版日期2016-2-1