Bifurcation of the essential dynamics of Lorenz maps and applications to Lorenz-like flows: Contributions to the study of the expanding case

DOI10.1007/BF01243862zbMath0991.37017OpenAlexW2014939857MaRDI QIDQ2758176

Rafael Labarca, Carlos Gustavo T.de A. Moreira

Publication date: 4 September 2002

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01243862

zbMATH Keywords

bifurcationkneading sequencesquadratic expanding Lorenz maps

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

ON BIFURCATION SETS FOR SYMBOLIC DYNAMICS IN THE MILNOR–THURSTON WORLD ⋮ Essential dynamics for Lorenz maps on the real line and the lexicographical world ⋮ 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 ⋮ A computer verification for the value of the Topological Entropy for some special subshifts in the Lexicographical Scenario ⋮ Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps ⋮ A characterization of the kneading sequences associated to Lorenz maps of the interval ⋮ ON THE BOUNDARY OF TOPOLOGICAL CHAOS FOR THE MILNOR–THURSTON WORLD

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