Bridge the gap between the Lorenz system and the Chen system

被引：785

作者：

Lü, JH ^{[1
]}

Chen, GR

Cheng, DZ

Celikovsky, S

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China

[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208 8, Czech Republic

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 12期

关键词：

Lorenz system; Chen system; critical system; a unified chaotic system;

D O I：

10.1142/S021812740200631X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a unified chaotic system that contains the Lorenz and the Chen systems as two dual systems at the two extremes of its parameter spectrum. The new system represents the continued transition from the Lorenz to the Chen system and is chaotic over the entire spectrum of the key system parameter. Dynamical behaviors of the unified system are investigated in somewhat detail.

引用

页码：2917 / 2926

页数：10

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