Locally expanding mappings and hyperbolicity
Keywords
Stability, hyperbolicity, shadowing, Julia setAbstract
The aim of the following paper is to propose and investigate the partial generalization of hyperbolicity to metric spaces. The locally expanding mappings, as we call them, possess many similar behaviour to that characteristic to hyperbolic mappings, in particular, they have lipschitz shadowing property. As a direct corollary we obtain for example shadowing on the Julia set.Downloads
Published
2007-12-01
How to Cite
1.
TABOR, Jacek. Locally expanding mappings and hyperbolicity. Topological Methods in Nonlinear Analysis. Online. 1 December 2007. Vol. 30, no. 2, pp. 335 - 343. [Accessed 20 April 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0