A Note on Sarkovskiĭ's Theorem in Connected Linearly Ordered Spaces

DOI10.1142/S0218127403007515zbMath1056.37004OpenAlexW2149316469MaRDI QIDQ4653852

D. Alcaraz, Manuel Sanchis

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403007515

zbMATH Keywords

minimal setŠarkovskiĭ's theoremConnected linearly ordered space

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (2)

Ultrafilters and non-Cantor minimal sets in linearly ordered dynamical systems ⋮ Full analogy of Sharkovsky's theorem for lower semicontinuous maps

Cites Work

• Unnamed Item
• Dynamics in one dimension
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Remarks on Sharkovsky's Theorem

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