On ω-limit Sets of Triangular Maps on the Unit Cube

DOI10.1080/1023619021000047734zbMath1024.37033OpenAlexW2166171024MaRDI QIDQ4408576

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

Publication date: 20 November 2003

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619021000047734

zbMATH Keywords

\(\omega\)-limit setdiscrete dynamical systemtriangular mapunit cyle

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Iteration of real functions in one variable (26A18) Low-dimensional dynamical systems (37E99)

Related Items (3)

On the global dynamics of periodic triangular maps ⋮ A note on a problem on ω-limit sets ofN–dimensional skew-product maps ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori

Cites Work

• A triangular map on \(I^2\) whose \(\omega\)-limit sets are all compact intervals of \(\{ 0\}\times I\).
• ω-Limit sets for triangular mappings
• On dynamics of triangular maps of the square

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