Global bifurcation analysis of the Lorenz system

被引：2

作者：

Gaiko, Valery A. ^{[1
]}

机构：

[1] Natl Acad Sci Belarus, United Inst Informat Problems, Minsk 220012, BELARUS

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 06期

关键词：

Lorenz system; bifurcation; singular point; limit cycle; chaos; LIMIT-CYCLES;

D O I：

10.22436/jnsa.007.06.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We carry out the global bifurcation analysis of the classical Lorenz system. For many years, this system has been the subject of study by numerous authors. However, until now the structure of the Lorenz attractor is not clear completely yet, and the most important question at present is to understand the bifurcation scenario of chaos transition in this system. Using some numerical results and our bifurcational geometric approach, we present a new scenario of chaos transition in the Lorenz system. (C)2014 All rights reserved.

引用

页码：429 / 434

页数：6

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