Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case

We prove that an arbitrary one dimensional smooth dynamical system with non-degenerate critical points has no wandering intervals.

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Bibliographic Details
Published in:Ergodic theory and dynamical systems 1989-12, Vol.9 (4), p.751-758
Main Authors: Blokh, A. M., Lyubich, M. Yu
Format: Article
Language:English
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Description
Summary:We prove that an arbitrary one dimensional smooth dynamical system with non-degenerate critical points has no wandering intervals.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385700005319