An extension of Šarkovskiư's Theorem to the n-od
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Publication:3980570
DOI10.1017/S0143385700006131zbMath0741.58010MaRDI QIDQ3980570
Publication date: 26 June 1992
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
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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