Expansivity of semi-hyperbolic Lipschitz mappings
- 17 April 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 51 (2), 301-308
- https://doi.org/10.1017/s0004972700014131
Abstract
Semi-hyperbolic dynamical systems generated by Lipschitz mappings are shown to be exponentially expansive, locally at least, and explicit rates of expansion are determined. The result is applicable to nonsmooth noninvertible systems such as those with hysteresis effects as well as to classical systems involving hyperbolic diffeomorphisms.Keywords
This publication has 1 reference indexed in Scilit:
- Unstable HomeomorphismsProceedings of the American Mathematical Society, 1950