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

被引：10

作者：

Labarca, R

Moreira, C

机构：

[1] Univ Santiago Chile, Dept Matemat & CC, Santiago, Chile

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA | 2001年 / 32卷 / 02期

关键词：

expanding Lorenz maps; combinatorial bifurcation diagramme; geometric Lorenz-like flows;

D O I：

10.1007/BF01243862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we provide, by using kneadings sequences, the combinatorial bifurcation diagramme associated to a typical two parameter of Lorenz maps on the real line. We apply these results to two parameter families of geometric Lorenz-like flows.

引用

页码：107 / 144

页数：38

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