Cyclic star products and universalities in symbolic dynamics of trimodal maps

DOI10.1016/S0167-2789(99)00236-5zbMath0982.37027MaRDI QIDQ1570777

Zhong Zhou, Shou-Li Peng

Publication date: 22 November 2000

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

zbMATH Keywords

symbolic dynamicsperiod-doubling bifurcationkneading sequencescyclic star product

Mathematics Subject Classification ID

Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (11)

Symmetries of star products and metric universalities in 1D quadri-modal maps ⋮ Homology of Vertex and Edge Shift Matrices in Symbolic Dynamics and Entropy Invariants ⋮ New universal bifurcation scenario in one-dimensional trimodal maps ⋮ Entropy invariants. I: The universal order relation of order-preserving star products. ⋮ Entropy invariants. II: The block structure of Stefan matrices. ⋮ Multiformity of inherent randomicity and visitation density in \(n\) symbolic dynamics ⋮ QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS ⋮ Order isomorphism under higher power shift and generic form of renormalization group equations in multimodal maps ⋮ A superconvergent universality induced by non-associativity ⋮ An effective numerical method of the word-lifting technique in one-dimensional multimodal maps ⋮ Inherent randomicity in 4-symbolic dynamics

Cites Work

• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• The universal metric properties of nonlinear transformations
• Symbolic dynamics of the sine-square map
• 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
• Star transformations and their genealogical varieties in symbolic dynamics of four letters
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