Multivalued functions and nonwandering set of skew products of maps of an interval with complicated dynamics of quotient map

DOI10.3103/S1066369X16020122zbMath1344.37053MaRDI QIDQ283091

L. S. Efremova

Publication date: 13 May 2016

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

quotient mapskew productnonwandering setfiber map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (5)

Periodic Behavior of Maps Obtained by Small Perturbations of Smooth Skew Products ⋮ Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ Small \(C^1\)-smooth perturbations of skew products and the partial integrability property ⋮ Small perturbations of smooth skew products and Sharkovsky's theorem ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori

Cites Work

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• Smooth triangular maps of the square with closed set of periodic points
• The triangular maps with closed sets of periodic points
• Non-wandering sets of the powers of maps of the interval
• Remarks on the Nonwandering Set of Skew Products with a Closed Set of Periodic Points of the Quotient Map
• A decomposition theorem for the space of $ C^1$-smooth skew products with complicated dynamics of the quotient map
• On skew-product maps with the base having a closed set of periodic points
• ON SMOOTH MAPPINGS OF THE CIRCLE INTO ITSELF
• On the concept of \(\Omega\)-function for the skew product of interval mappings.

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