Persistence in expansive systems
- 19 September 1983
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 3 (4), 567-578
- https://doi.org/10.1017/s0143385700002157
Abstract
We give some sufficient conditions for an expansive diffeomorphism ƒ of a compact manifold to be such that every neighbouring diffeomorphism shows, roughly, all the dynamical features of ƒ. These results are then applied to prove a structural stability theorem for pseudo-Anosov maps.Keywords
This publication has 4 references indexed in Scilit:
- Lyapunov functions and topological stabilityJournal of Differential Equations, 1980
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORYRussian Mathematical Surveys, 1977
- Each compact orientable surface of positive genus admits an expansive homeomorphismPacific Journal of Mathematics, 1970
- Anosov diffeomorphisms are topologically stableTopology, 1970