A genealogy for the periodic orbits of a class of 1D maps

DOI10.1016/S0167-2789(05)80009-0zbMath0888.58052OpenAlexW4250491387MaRDI QIDQ1341005

John Ringland

Publication date: 21 December 1994

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(05)80009-0

zbMATH Keywords

intervalperiodic orbitskneading sequencesbimodal map

Mathematics Subject Classification ID

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)

Related Items (4)

Symmetries of star products and metric universalities in 1D quadri-modal maps ⋮ Dual star products and metric universality in symbolic dynamics of three letters. ⋮ An embedding of the Farey web in the parameter space of simple families of circle maps ⋮ A Genealogy for Finite Kneading Sequences of Bimodal Maps on the Interval

Cites Work

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• Universality and self-similarity in the bifurcations of circle maps
• Splitting words and Lorenz braids
• 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
• New Directions in Dynamical Systems
• Classification of strange attractors by integers

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