A NEW WAY OF GENERATING N-SCROLL ATTRACTORS VIA TRIGONOMETRIC FUNCTION

被引:12
作者
Gunay, Enis [1 ]
Kilic, Recai [1 ]
机构
[1] Erciyes Univ, Dept Elect Elect Engn, TR-38039 Kayseri, Turkey
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 03期
关键词
CNN; n-scroll attractor; chaos; trigonometric function; MULTISCROLL CHAOTIC ATTRACTORS; CIRCUIT; DESIGN; FAMILY; CNN;
D O I
10.1142/S0218127411028660
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, a way of generating n-scroll attractors in State Controlled-Cellular Neural Network (SC-CNN) using a trigonometric function is introduced. In spite of the studies on generation of n-scrolls cited in literature, there is no need to add break points in the nonlinear function of the system. Also, wide number of scrolls can be generated by modifying only one variable.
引用
收藏
页码:897 / 901
页数:5
相关论文
共 26 条
[1]   CHUAS CIRCUIT CAN BE GENERATED BY CNN CELLS [J].
ARENA, P ;
BAGLIO, S ;
FORTUNA, L ;
MANGANARO, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (02) :123-125
[2]  
Arena P, 1996, INT J CIRC THEOR APP, V24, P241, DOI 10.1002/(SICI)1097-007X(199605/06)24:3<241::AID-CTA912>3.0.CO
[3]  
2-J
[4]  
Arena P, 1996, IEICE T FUND ELECTR, VE79A, P1647
[5]  
Aziz-Alaoui MA, 2000, CONTROL OF OSCILLATIONS AND CHAOS, VOLS 1-3, PROCEEDINGS, P88, DOI 10.1109/COC.2000.873517
[6]   Differential equations with multispiral attractors [J].
Aziz-Alaoui, MA .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (06) :1009-1039
[7]   New 3D-scroll attractors in hyperchaotic Chua's circuits forming a ring [J].
Cafagna, D ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (10) :2889-2903
[8]   Hyperchaotic coupled chua circuits:: An approach for generating new n x m-scroll attractors [J].
Cafagna, D ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (09) :2537-2550
[9]   THE DOUBLE SCROLL FAMILY .1. RIGOROUS PROOF OF CHAOS [J].
CHUA, LO ;
KOMURO, M ;
MATSUMOTO, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (11) :1072-1097
[10]   3 STEPS TO CHAOS .2. A CHUA CIRCUIT PRIMER [J].
KENNEDY, MP .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1993, 40 (10) :657-674