Symbolic dynamics of the sine-square map

DOI10.1016/0960-0779(93)90039-4zbMath0767.58011OpenAlexW2035527738MaRDI QIDQ1803823

Fageng Xie, Bai-Lin Hao

Publication date: 29 June 1993

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90039-4

zbMATH Keywords

symbolic dynamicskneading planesine-square map

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Geometric optics (78A05)

Related Items (3)

Counting the number of periods in one-dimensional maps with multiple critical points ⋮ Symmetries of star products and metric universalities in 1D quadri-modal maps ⋮ Cyclic star products and universalities in symbolic dynamics of trimodal maps

Cites Work

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• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• Dynamical systems. C.I.M.E. Lectures, Bressanone, Italy, June 1978
• On the abundance of aperiodic behaviour for maps on the interval
• Dynamical systems. Proceedings of the special year held at the University of Maryland, College Park, 1986-87
• Symbolic dynamics and skeletons of circle maps
• On finite limit sets for transformations on the unit interval
• Boundary of Topological Chaos for Bimodal Maps of the Interval
• Period doubling for bimodal maps: a horseshoe for a renormalisation operator

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