An extension of Šarkovskiư's Theorem to the n-od

DOI10.1017/S0143385700006131zbMath0741.58010MaRDI QIDQ3980570

Stewart L. Baldwin

Publication date: 26 June 1992

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

zbMATH Keywords

interval mapsSharkovskij Theorem

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99)

Related Items (19)

On the preservation of combinatorial types for maps on trees. ⋮ Topological entropy and periods of graph maps ⋮ Continuous itinerary functions and dendrite maps ⋮ Periods for triangular maps ⋮ The full periodicity kernel of the trefoil ⋮ Linear orderings and the sets of periods for star maps ⋮ Sets of periods for maps on connected graphs with zero Euler characteristic having all branching points fixed ⋮ Rotation sets for graph maps of degree 1 ⋮ Dynamical ordering of symmetric non-Birkhoff periodic points in reversible monotone twist mappings ⋮ On piecewise-monotone mappings with closed set of periodic points on dendrites ⋮ Rotation numbers for certain maps of an \(n\)-od ⋮ On Graph-realizable Sets of Periods ⋮ Sets of periods of dynamical systems ⋮ Zero-entropy vertex maps on graphs ⋮ A Sharkovsky theorem for vertex maps on trees ⋮ LOW-DIMENSIONAL COMBINATORIAL DYNAMICS ⋮ Coexistence of uniquely ergodic subsystems of interval mappings ⋮ On the set of periods of sigma maps of degree 1 ⋮ Retracts, fixed point property and existence of periodic points

Cites Work

• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Sarkovskii's Theorem for Hereditarily Decomposable Chainable Continua
• Periodic Orbits of Maps of Y
• Unnamed Item

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