n-scroll chaotic attractors from a first-order time-delay differential equation

被引：30
|
作者：
Yalcin, Mustak E. [1 ]
Ozoguz, Serdar [1 ]
机构：
[1] Tech Univ Istanbul, Fac Elect & Elect Engn, Dept Elect Engn, TR-34469 Istanbul, Turkey
来源：
CHAOS | 2007年 / 17卷 / 03期
关键词：
D O I：
10.1063/1.2768403
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a novel first-order delay differential equation capable of generating n-scroll chaotic attractor is presented. Hopf bifurcation of the introduced n-scroll chaotic system is analytically and numerically determined. The bifurcation diagram and Lyapunov spectrum of the system are calculated and the results show that the system has a chaotic regime in a wider parameter range. Furthermore, period-3 behavior has been observed on the system. Circuit realizations of two-, three-, four-, and five-scroll chaotic attractors are also presented.
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页数：8
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