An effective numerical method of the word-lifting technique in one-dimensional multimodal maps

DOI10.1016/S0375-9601(03)00243-3zbMath1011.37020MaRDI QIDQ1865493

Zhong Zhou, Ke-Fei Cao

Publication date: 26 March 2003

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

symbolic sequenceshigher-order algebraic mapsquadruply superstable kneading sequences

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05)

Related Items (4)

Symmetries of star products and metric universalities in 1D quadri-modal maps ⋮ New universal bifurcation scenario in one-dimensional trimodal maps ⋮ Multiformity of inherent randomicity and visitation density in \(n\) symbolic dynamics ⋮ A superconvergent universality induced by non-associativity

Cites Work

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• The universal metric properties of nonlinear transformations
• On the abundance of aperiodic behaviour for maps on the interval
• Cyclic star products and universalities in symbolic dynamics of trimodal maps
• Quantitative universality for a class of nonlinear transformations
• Dual star products and metric universality in symbolic dynamics of three letters.
• Dual star products and symbolic dynamics of Lorenz maps with the same entropy
• On finite limit sets for transformations on the unit interval
• Universal metric properties of bifurcations of endomorphisms
• Star transformations and their genealogical varieties in symbolic dynamics of four letters

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