Space of \(C^{1}\)-smooth skew products of maps of an interval

DOI10.1007/s11232-010-0102-7zbMath1253.37043OpenAlexW2064409850MaRDI QIDQ2276490

L. S. Efremova

Publication date: 5 November 2012

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0102-7

zbMATH Keywords

quotient mapskew product\(\Omega \)-functionsuitable function

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items (6)

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 ⋮ Periodic Behavior of Maps Obtained by Small Perturbations of Smooth Skew Products ⋮ Small \(C^1\)-smooth perturbations of skew products and the partial integrability property ⋮ Geometrically integrable maps in the plane and their periodic orbits ⋮ Small perturbations of smooth skew products and Sharkovsky's theorem

Cites Work

• Unnamed Item
• New set-valued functions in the theory of skew products of interval maps.
• On the structure of strange non-chaotic attractors in pinched skew products
• A quotient of periods other than a power of two leads to chaos in a neighbourhood
• On the contribution of N.N. Bogolyubov to the theory of dynamical systems
• 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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