Forcing relation on patterns of invariant sets and reductions of interval maps

DOI10.1090/S0002-9947-2010-05103-7zbMath1221.37090OpenAlexW2149472935MaRDI QIDQ3003610

Song Shao, Jie Hua Mai

Publication date: 27 May 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2010-05103-7

zbMATH Keywords

rigidityinterval maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Cites Work

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• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• A graph-theoretic proof of Sharkovsky's theorem on the periodic points of continuous functions
• Interval mapping graphs and periodic points of continuous functions
• Entropy of twist interval maps
• Forcing relation on minimal interval patterns
• Some Results on the Sarkovskii Partial Ordering of Permutations
• Orbit types for maps of the interval
• On the Theorems of Sarkovskii and Stefan on Cycles
• Periodic Points of Continuous Functions
• Combinatorial patterns for maps of the interval
• Comparing Periodic Orbits of Maps of the Interval
• Rotation numbers, twists and a Sharkovskii–Misiurewicz-type ordering for patterns on the interval
• New order for periodic orbits of interval maps
• Topological Conjugacy and Transitivity for a Class of Piecewise Monotone Maps of the Interval
• The ordering on permutations induced by continuous maps of the real line
• On a Converse of Sharkovsky's Theorem

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