A Survey on the Relation Between Transitivity and Dense Periodicity for Graph Maps

DOI10.1080/1023619021000047725zbMath1026.37031OpenAlexW1999635884MaRDI QIDQ4408575

Lluís Alsedà, José Angel Rodríguez, M. A. del Río

Publication date: 30 November 2003

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

Full work available at URL: https://doi.org/10.1080/1023619021000047725

zbMATH Keywords

topological transitivitytopological entropygraph mapsdensity of the set of periods

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of trees and graphs (37E25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

The skew product on \(n\)-dimensional cell with transitive but not totally transitive \(n\)-dimensional attractor ⋮ When a minimal map is totally transitive on a \(G\)-space ⋮ On a class of totally topologically transitive skew products defined on cells in \(\mathbb{R}^n\), \(n\geq2\) ⋮ Hereditarily indecomposable inverse limits of graphs: shadowing, mixing and exactness ⋮ Boundary conditions for maps in fibers and topological transitivity of skew products of interval maps ⋮ A survey on transitivity in discrete time dynamical systems. application to symbolic systems and related languages

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• On Devaney's Definition of Chaos
• Entropy and periodic points for transitive maps
• No division and the set of periods for tree maps
• The Group Fixed by a Family of Injective Endomorphisms of a Free Group
• Topological entropy of transitive maps of a tree
• A NOTE ON THE TOTALLY TRANSITIVE GRAPH MAPS STABILITY OF PWL CELLULAR

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