Maps of the Interval with Closed Periodic Set

DOI10.2307/2043866zbMath0488.54029OpenAlexW4241886073MaRDI QIDQ3949672

Zbigniew H. Nitecki

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043866

zbMATH Keywords

periodic pointshomoclinic pointsnonwandering pointsmaps of the interval

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items

Chain recurrent points of a tree map ⋮ Minimal Periodic Orbits and Topological Entropy of Interval Maps ⋮ The Chain Recurrent Set for Maps of the Circle ⋮ Unnamed Item ⋮ 3-adic system and chaos ⋮ The Chain Recurrent Set for Maps of the Interval ⋮ A characterization of zero topological entropy for a class of triangular mappings. ⋮ Relatively pointwise recurrent graph map ⋮ Absence of \(C^{1}\)-\(\Omega\)-explosion in the space of smooth simplest skew products ⋮ Graph maps whose periodic points form a closed set ⋮ A Characterization of Nonchaotic Continuous Maps of the Interval Stable Under Small Perturbations ⋮ Set of almost periodic points of a continuous self-map of an interval ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori ⋮ On the topological entropy, nonwandering set and chaos of monotone and competitive dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• On the Topology of the Set of Completely Unstable Flows
• Non-wandering sets of the powers of maps of the interval
• Homoclinic Points of Mappings of the Interval
• Simple Periodic Orbits of Mappings of the Interval
• Continuous Maps of the Interval with Finite Nonwandering Set
• Continuous Maps of the Interval whose Periodic Points form a Closed Set

This page was built for publication: Maps of the Interval with Closed Periodic Set