Topological invariants and renormalization of Lorenz maps

DOI10.1016/S0167-2789(01)00369-4zbMath1003.37030OpenAlexW2082308530MaRDI QIDQ5956621

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Publication date: 27 February 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00369-4

zbMATH Keywords

topological entropyconstant slopesLorenz mapspiecewise linear mapsrenormalization domainssemiconjugacy

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20)

Related Items (6)

Computation of Genus and Braid Index for Renormalizable Lorenz Links ⋮ Zeta-functions of renormalizable sub-Lorenz templates ⋮ Determining consecutive periods of the Lorenz maps ⋮ On Hausdorff Dimension of Invariant Sets for a Class of Piecewise Linear Maps ⋮ Effective computation of the multivariable Alexander polynomial of Lorenz links ⋮ Critical itineraries of maps with constant slope and one discontinuity

Cites Work

• Some flesh on the skeleton: the bifurcation structure of bimodal maps
• Structural stability of Lorenz attractors
• The structure of Lorenz attractors
• Prime and renormalisable kneading invariants and the dynamics of expanding Lorenz maps
• Splitting words and Lorenz braids
• The classification of topologically expansive lorenz maps
• Topological conjugation of Lorenz maps by β-transformations
• The topological classification of Lorenz attractors
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