Experimental verification of the butterfly attractor in a modified Lorenz system

被引:56
作者
Özoguz, S
Elwakil, AS
Kennedy, MP
机构
[1] Istanbul Tech Univ, Fac elect Elect Engn, TR-80626 Istanbul, Turkey
[2] Univ Sharjah, Dept Elect & Elect Engn, Sharjah, U Arab Emirates
[3] Natl Univ Ireland Univ Coll Cork, Dept Microelect Engn, Cork, Ireland
[4] Nucl Res Ctr, Reactor Dept, Inshas, Egypt
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2002年 / 12卷 / 07期
关键词
Lorenz equations; butterfly chaos; chaotic oscillators;
D O I
10.1142/S0218127402005364
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An electronic circuit realization of a modified Lorenz system, which is multiplier-free, is described. The well-known butterfly chaotic attractor is experimentally observed verifying that the proposed modified system does capture the essential dynamics of the original Lorenz system. Furthermore, we clarify that the butterfly attractor is a compound structure obtained by merging together two simple attractors after performing one mirror operation.
引用
收藏
页码:1627 / 1632
页数:6
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