Universal models for Lorenz maps

DOI10.1017/S0143385701001420zbMath1108.37300arXivmath/9610222OpenAlexW2079304522MaRDI QIDQ2730715

Marco Martens, Welington De Melo

Publication date: 29 July 2001

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9610222

Mathematics Subject Classification ID

Topological dynamics (37B99) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Universality and renormalization of dynamical systems (37E20)

Related Items (16)

Topological attractors of contracting Lorenz maps ⋮ Computation of Genus and Braid Index for Renormalizable Lorenz Links ⋮ The Lorenz Renormalization Conjecture ⋮ Renormalization for Lorenz maps of monotone combinatorial types ⋮ A formula for the boundary of chaos in the lexicographical scenario and applications to the bifurcation diagram of the standard two parameter family of quadratic increasing-increasing Lorenz maps ⋮ On the hyperbolicity of Lorenz renormalization ⋮ Zeta-functions of renormalizable sub-Lorenz templates ⋮ Multidimensional Rovella-like attractors ⋮ On the Statistical Attractors and Attracting Cantor Sets for Piecewise Smooth Maps ⋮ Existence of \(C^k\)-invariant foliations for Lorenz-type maps ⋮ Physical measures for infinitely renormalizable Lorenz maps ⋮ Full families of generalized interval exchange transformations ⋮ Bifurcation of the essential dynamics of Lorenz maps and applications to Lorenz-like flows: Contributions to the study of the expanding case ⋮ Effective computation of the multivariable Alexander polynomial of Lorenz links ⋮ A full family of multimodal maps on the circle ⋮ Hyperbolicity of renormalization for dissipative gap mappings

This page was built for publication: Universal models for Lorenz maps