Universal models for Lorenz maps

Marco Martens; Welington De Melo

doi:10.1017/S0143385701001420

Universal models for Lorenz maps

Marco Martens
, Welington De Melo

Mathematics

Instituto National de Matemática Pura e Aplicada

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

Lorenz maps are dynamical systems on the interval related to the Lorenz flow. Monotone Lorenz families will be introduced and it will be shown that all possible topological dynamical behavior of Lorenz maps is realized within every monotone Lorenz family. Moreover, the structure of the parameter space for such families is described.

Original language	English
Pages (from-to)	833-860
Number of pages	28
Journal	Ergodic Theory and Dynamical Systems
Volume	21
Issue number	3
DOIs	https://doi.org/10.1017/S0143385701001420
State	Published - Jun 2001

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abstract = "Lorenz maps are dynamical systems on the interval related to the Lorenz flow. Monotone Lorenz families will be introduced and it will be shown that all possible topological dynamical behavior of Lorenz maps is realized within every monotone Lorenz family. Moreover, the structure of the parameter space for such families is described.",

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AU - Martens, Marco

AU - De Melo, Welington

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AB - Lorenz maps are dynamical systems on the interval related to the Lorenz flow. Monotone Lorenz families will be introduced and it will be shown that all possible topological dynamical behavior of Lorenz maps is realized within every monotone Lorenz family. Moreover, the structure of the parameter space for such families is described.

UR - https://www.scopus.com/pages/publications/0035588151

U2 - 10.1017/S0143385701001420

DO - 10.1017/S0143385701001420

M3 - Article

AN - SCOPUS:0035588151

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VL - 21

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

Universal models for Lorenz maps

Abstract

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