New universal bifurcation scenario in one-dimensional trimodal maps

DOI10.1016/j.physleta.2008.01.080zbMath1220.37011OpenAlexW2058424453MaRDI QIDQ637774

Zhong Zhou, Shou-Li Peng, Ke-Fei Cao

Publication date: 6 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.01.080

zbMATH Keywords

bifurcationsymbolic dynamicsnon-associativityFeigenbaum's metric universalitynon-normal star product

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Deformation quantization, star products (53D55) Symbolic dynamics (37B10) Bifurcations in context of PDEs (35B32)

Related Items (2)

High precision numerical estimation of the largest Lyapunov exponent ⋮ A superconvergent universality induced by non-associativity

Cites Work

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• Computer methods and Borel summability applied to Feigenbaum's equation
• On the abundance of aperiodic behaviour for maps on the interval
• Universal properties of maps on an interval
• Cyclic star products and universalities in symbolic dynamics of trimodal maps
• An effective numerical method of the word-lifting technique in one-dimensional multimodal maps
• Symmetries of star products and metric universalities in 1D quadri-modal maps
• Dual star products and metric universality in symbolic dynamics of three letters.
• On finite limit sets for transformations on the unit interval
• A Precise Calculation of the Feigenbaum Constants
• Feigenvalues for Mandelsets

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