Piecewise affine models of chaotic attractors: The Rossler and Lorenz systems

被引：17

作者：

Amaral, GFV

Letellier, C

Aguirre, LA

机构：

[1] Univ Fed Minas Gerais, Programa Pos Grad Engn Eletr, BR-31270901 Belo Horizonte, MG, Brazil

[2] Univ Rouen, CORIA UMR 6614, F-76801 St Etienne, France

[3] Univ Fed Sao Joao Rei, Dept Engn Eletr, BR-36307352 Sao Joao Del Rei, MG, Brazil

来源：

CHAOS | 2006年 / 16卷 / 01期

关键词：

D O I：

10.1063/1.2149527

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a procedure by which it is possible to synthesize Rossler [Phys. Lett. A 57, 397-398 (1976)] and Lorenz [J. Atmos. Sci. 20, 130-141 (1963)] dynamics by means of only two affine linear systems and an abrupt switching law. Comparison of different (valid) switching laws suggests that parameters of such a law behave as codimension one bifurcation parameters that can be changed to produce various dynamical regimes equivalent to those observed with the original systems. Topological analysis is used to characterize the resulting attractors and to compare them with the original attractors. The paper provides guidelines that are helpful to synthesize other chaotic dynamics by means of switching affine linear systems. (C) 2006 American Institute of Physics.

引用

页数：14

共 27 条

[1] Nonlinear identification and cluster analysis of chaotic attractors from a real implementation of Chua's circuit [J].