A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\).

DOI10.3934/dcds.2002.8.983zbMath1090.37009OpenAlexW1993851500MaRDI QIDQ1848989

Francisco Balibrea, J. L. Muñoz Casado, Juan Luis García Guirao

Publication date: 2002

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2002.8.983

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (11)

Hausdorff compactness on a space of \(\omega\)-limit sets ⋮ On limit sets of monotone maps on dendroids ⋮ On minimal homeomorphisms and non-invertible maps preserving foliations ⋮ A characterization of zero topological entropy for a class of triangular mappings. ⋮ Omega-limit sets in hereditarily locally connected continua ⋮ On ω-limit Sets of Triangular Maps on the Unit Cube ⋮ On solenoidal distribution of infinite ω-limit sets ⋮ On skew-product maps with the base having a closed set of periodic points ⋮ Asymptotical periodicity for analytic triangular maps of type less than \(2^\infty \) ⋮ Nonwandering set of points of skew-product maps with base having closed set of periodic points ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori

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