Abstract
AbstractNecessary and sufficient conditions for a Lorenz map to be topologically conjugate to a piecewise linear map with constant slope (a β-transformation) are given, first in terms of kneading invariants of the maps and then in terms of the topological entropy restricted to basic sets. The dynamics of β-transformations is also described.
Publisher
Cambridge University Press (CUP)
Reference20 articles.
1. The structure of Lorenz attractors
2. The Basic Lorenz List and Sparrow'S Conjecture A
3. [13] Palmer M. R. . On the classification of measure preserving transformations of Lebesgue spaces. Ph.D. thesis, University of Warwick (1979).
Cited by
39 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献