On Graph-realizable Sets of Periods

DOI10.1080/1023619021000047770zbMath1039.37022OpenAlexW1986027013MaRDI QIDQ4408580

Alexander M. Blokh

Publication date: 2003

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

Full work available at URL: https://doi.org/10.1080/1023619021000047770

zbMATH Keywords

entropyperiodic pointSharkovskij theoremmaps of graphs

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (1)

Specification property and distributional chaos almost everywhere

Cites Work

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• Bifurcations in one dimension. I. The nonwandering set
• Ergodic theory on compact spaces
• Horseshoes, entropy and periods for graph maps
• Decomposition of dynamical systems on an interval
• A Note on the Set of Periods for Continuous Maps of the Circle Which have Degree One
• The structure of piecewise monotonic transformations
• An extension of Šarkovskiư's Theorem to the n-od
• Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval
• New order for periodic orbits of interval maps

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