Embedding the symbolic dynamics of Lorenz maps

作者:Samuel Tony*; Snigireva Nina; Vince Andrew
来源:Mathematical Proceedings of the Cambridge Philosophical Society, 2014, 156(3): 505-519.
DOI:10.1017/S0305004114000061

摘要

Necessary and sufficient conditions for the symbolic dynamics of a given Lorenz map to be fully embedded in the symbolic dynamics of a piecewise continuous interval map are given. As an application of this embedding result, we describe a new algorithm for calculating the topological entropy of a Lorenz map.

  • 出版日期2014-5