A rescaling of the phase space for Hamiltonian map: Applications on the Kepler map and mappings with diverging angles in the limit of vanishing action

作者：

Highlights：

• In this work we study a rescale of the phase space in a family of two-dimensional, nonlinear Hamiltonian mapping.

• The mapping considered is parametrised by γ.

• Kepler map and mappings with diverging angles in the limit of vanishing action are recovered.

• The transition from local to global chaos is used.

• The chaotic sea is scaling invariant.

• Universality classes are defined.

摘要

•In this work we study a rescale of the phase space in a family of two-dimensional, nonlinear Hamiltonian mapping.•The mapping considered is parametrised by γ.•Kepler map and mappings with diverging angles in the limit of vanishing action are recovered.•The transition from local to global chaos is used.•The chaotic sea is scaling invariant.•Universality classes are defined.

论文关键词：Chaotic sea,Invariant KAM curve,Universality classes,Kepler map,Wave packet

论文评审过程：Available online 11 July 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.06.045