A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval

DOI10.2307/2155055zbMath0849.54033arXivchao-dyn/9307009OpenAlexW2952342490MaRDI QIDQ4875804

John Ringland, Charles Tresser

Publication date: 24 April 1996

Full work available at URL: https://arxiv.org/abs/chao-dyn/9307009

zbMATH Keywords

intervaltopological dynamicskneading sequencesFarey treescontinuous bimodal maps

Mathematics Subject Classification ID

Related Items (9)

Essential dynamics for Lorenz maps on the real line and the lexicographical world ⋮ Devil's carpet of topological entropy and complexity of global dynamical behavior ⋮ Bifurcation structure in a bimodal piecewise linear business cycle model ⋮ Dual star products and metric universality in symbolic dynamics of three letters. ⋮ GENERAL FORM OF SUPERUNIVERSALITY FOR FRACTAL DIMENSIONS IN ONE-DIMENSIONAL MAPS ⋮ An embedding of the Farey web in the parameter space of simple families of circle maps ⋮ Point Bifurcations and Bubbles for a Cubic Family ⋮ A Model of the Dynamics of The Newton–Leipnik Attractor ⋮ The Dynamics of Symmetric Bimodal Maps

Cites Work

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• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• Transition to topological chaos for circle maps
• Bifurcations of circle maps: Arnol'd tongues, bistability and rotation intervals
• Splitting words and Lorenz braids
• A genealogy for the periodic orbits of a class of 1D maps
• Symbolic dynamics and skeletons of circle maps
• Boundary of Topological Chaos for Bimodal Maps of the Interval
• Genealogy of Periodic Points of Maps of the Interval
• Genealogy and Bifurcation Skeleton for Cycles of the Iterated Two-Extremum Map of the Interval
• A decoding problem in dynamics and in number theory

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