No division and the set of periods for tree maps

DOI10.1017/S0143385700008348zbMath0831.58029MaRDI QIDQ4835540

Lluís Alsedà, Xiang Dong Ye

Publication date: 13 February 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

set of periodstree mapno division

Mathematics Subject Classification ID

Topological dynamics (37B99) Entropy in general topology (54C70)

Related Items (18)

Chain recurrent points of a tree map ⋮ Distributional chaos of tree maps. ⋮ On topological entropy of commuting tree maps ⋮ Li-Yorke chaos for dendrite maps with zero topological entropy and \(\omega\)-limit sets ⋮ Topological and algebraic reducibility for patterns on trees ⋮ A Survey on the Relation Between Transitivity and Dense Periodicity for Graph Maps ⋮ Sets of periods of dynamical systems ⋮ Zero-entropy vertex maps on graphs ⋮ Transitivity and Dense Periodicity for Graph Maps ⋮ A Sharkovsky theorem for vertex maps on trees ⋮ NO DIVISION AND THE ENTROPY OF TREE MAPS ⋮ COFINITENESS OF THE SET OF PERIODS FOR TOTALLY TRANSITIVE TREE MAPS ⋮ Equivalent conditions of a tree map with zero topological entropy ⋮ On the minimum positive entropy for cycles on trees ⋮ Forward triplets and topological entropy on trees ⋮ Scrambled sets of continuous maps of 1-dimensional polyhedra ⋮ Chain recurrent points and topological entropy of a tree map ⋮ Retracts, fixed point property and existence of periodic points

Cites Work

• Horseshoes, entropy and periods for graph maps
• Linear orderings and the full periodicity kernel for the \(n\)-star
• Trees with snowflakes and zero entropy maps
• Minimal sets of maps of \(Y\)
• No Division Implies Chaos
• Periodic Orbits of Maps of Y

This page was built for publication: No division and the set of periods for tree maps