Blokh, A. M.; Lyubich, M. Yu. Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. II: The smooth case. (English) Zbl 0665.58024 Ergodic Theory Dyn. Syst. 9, No. 4, 751-758 (1989). This paper is the continuation of part I [see the preceding article]. Let \({\mathcal A}\) be the class of \(C^ 3\)-smooth one dimensional maps f: \(M\to M\) with nondegenerate critical points. Theorem. A map \(f\in {\mathcal A}\) has no wandering intervals. The theorem is proved by combining the technique of part I with the distortion estimates due to W. de Melo and S. J. van Strien [ibid. 7, 415-462 (1987; Zbl 0609.58023)] (in that paper the absence of wandering intervals for unimodal \(f\in {\mathcal A}\) was established). The main new point is the analysis of intersection multiplicity of intervals in some specific situation. Reviewer: M.Yu.Lyubich Cited in 2 ReviewsCited in 19 Documents MSC: 37C70 Attractors and repellers of smooth dynamical systems and their topological structure 37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems Keywords:topological attractor; solenoid; nondegenerate critical points; wandering intervals PDF BibTeX XML Cite \textit{A. M. Blokh} and \textit{M. Yu. Lyubich}, Ergodic Theory Dyn. Syst. 9, No. 4, 751--758 (1989; Zbl 0665.58024) Full Text: DOI References: [1] van Strien, Hyperbolicity and invariant measures for general C pp 87– [2] Lyubich, Ergod. Th. & Dyn. Sys. none pp none– (none) [3] Melo, A structure theorem in one dimensional dynamics (1986) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.