Chaotic Maps with Rational Zeta Function

DOI10.2307/2000737zbMath0641.58028OpenAlexW4235980099MaRDI QIDQ3782487

Helena E. Nusse

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000737

zbMATH Keywords

fixed pointsiterationchaotic dynamicszeta functionperiodic pointsdifference equationone-dimensional endomorphismiteration of mappingssemigroup of chaotic mappings

Mathematics Subject Classification ID

Topological dynamics (37B99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Iteration of real functions in one variable (26A18)

Related Items (1)

The linearisations of cyclic permutation have rational zeta functions

Cites Work

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• Iterates of maps on an interval
• Absolutely continuous measures for certain maps of an interval
• The qualitative analysis of a difference equation of population growth
• On the bifurcation of maps of the interval
• On periodic points
• Discrete Dynamical Systems in Dimensions One and Two
• Periodic Points of Continuous Functions
• On the Topology of the Set of Completely Unstable Flows
• Period Three Implies Chaos
• Hypergraphic Functions and Bifurcations in Recurrence Relations
• Simple Periodic Orbits of Mappings of the Interval
• Stable Orbits and Bifurcation of Maps of the Interval
• Markov Partitions for Axiom A Diffeomorphisms

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