Article contents
Homeomorphic restrictions of smooth endomorphisms of an interval
Published online by Cambridge University Press: 19 September 2008
Abstract
We describe the asymptotic dynamics of homeomorphisms obtained as restrictions of generic C2 endomorphisms of an interval with finitely many critical points, all of which are non-flat, and with all periodic points hyperbolic. The ω -limit set of such a restricted endomorphism cannot be infinite, except when the restriction of the endomorphism to the closure of the orbit of some critical point is a minimal homeomorphism of an infinite set.
- Type
- Research Article
- Information
- Copyright
- Copyright © Cambridge University Press 1992
References
REFERENCES
- 1
- Cited by