MULTISCROLL CHAOTIC ATTRACTORS FROM A HYSTERESIS BASED TIME-DELAY DIFFERENTIAL EQUATION

被引:20
|
作者
Kilinc, Selcuk [1 ]
Yalcin, Mustak E. [2 ]
Ozoguz, Serdar [2 ]
机构
[1] Dokuz Eylul Univ, Dept Elect & Elect Engn, Izmir, Turkey
[2] Istanbul Tech Univ, Fac Elect & Elect Engn, TR-34469 Istanbul, Turkey
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2010年 / 20卷 / 10期
关键词
Multiscroll chaotic attractors; time-delay systems; chaotic circuits; OSCILLATOR; GENERATION; CIRCUIT; DESIGN; SERIES; SYSTEM;
D O I
10.1142/S0218127410027660
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, the generation of multiscroll chaotic attractors derived from a time-delay differential equation is presented. The proposed system is represented by only one first-order differential equation including time-delayed state variable, and employs hysteresis function as the nonlinear characteristic. The generalization of the introduced system is based on adding multihysteresis nonlinear characteristic which leads to n-scroll chaotic attractors. The circuit implementation of the proposed system and some experimental results referring to two-, three-, four-, and five-scroll chaotic attractors are reported.
引用
收藏
页码:3275 / 3281
页数:7
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