Nonwandering set of points of skew-product maps with base having closed set of periodic points

DOI10.1016/j.jmaa.2009.08.007zbMath1181.37011OpenAlexW2055388262MaRDI QIDQ1043508

Raquel García Rubio, Juan Luis García Guirao

Publication date: 9 December 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.007

zbMATH Keywords

nonwandering pointdiscrete dynamical systemskew-product map

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items

Multivalued functions and nonwandering set of skew products of maps of an interval with complicated dynamics of quotient map ⋮ Nonwandering sets of \(C^1\)-smooth skew products of interval maps with complicated dynamics of quotient map ⋮ Example of the Smooth Skew Product in the Plane with the One-dimensional Ramified Continuum as the Global Attractor ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori

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