Comparing Periodic Orbits of Maps of the Interval

DOI10.2307/2154055zbMath0764.58026OpenAlexW2085700542MaRDI QIDQ4015883

Chris Bernhardt, Michał Misiurewicz, Ethan M. Coven, Irene Mulvey

Publication date: 7 December 1992

Full work available at URL: https://doi.org/10.2307/2154055

zbMATH Keywords

permutationsperiodic orbitseffective algorithmhorseshoe mapforcing relation

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (3)

Forcing relation on patterns of invariant sets and reductions of interval maps ⋮ On the ordering of 𝑛-modal cycles ⋮ Symbolic representation for a class of unimodal cycles

Cites Work

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• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• Some Results on the Sarkovskii Partial Ordering of Permutations
• Simple permutations with order a power of two
• Combinatorial patterns for maps of the interval
• The ordering on permutations induced by continuous maps of the real line

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