Hyperchaotic coupled chua circuits:: An approach for generating new n x m-scroll attractors

被引:54
作者
Cafagna, D [1 ]
Grassi, G [1 ]
机构
[1] Univ Lecce, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2003年 / 13卷 / 09期
关键词
hyperchaos; multi-scroll attractors; nonlinear circuit design;
D O I
10.1142/S0218127403008065
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper an approach for generating new hyperchaotic attractors from coupled Chua circuits is proposed. The technique, which exploits sine functions as nonlinearities, enables n x m-scroll attractors to be generated. In particular, it is shown that n x m-scroll dynamics can be easily designed by modifying four parameters related to the circuit nonlinearities. Simulation results are reported to illustrate the capability of the proposed approach.
引用
收藏
页码:2537 / 2550
页数:14
相关论文
共 17 条
[1]   BIRTH OF DOUBLE DOUBLE SCROLL ATTRACTOR IN COUPLED CHUA CIRCUITS [J].
ANISHCHENKO, VS ;
KAPITANIAK, T ;
SAFONOVA, MA ;
SOSNOVZEVA, OV .
PHYSICS LETTERS A, 1994, 192 (2-4) :207-214
[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]   Synchronization of hyperchaotic circuits via continuous feedback control with application to secure communications [J].
Brucoli, M ;
Cafagna, D ;
Carnimeo, L ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (10) :2031-2040
[5]   Design of a hyperchaotic cryptosystem based on identical and generalized synchronization [J].
Brucoli, M ;
Cafagna, D ;
Carnimeo, L ;
Grassi, G .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (10) :2027-2037
[6]   Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal [J].
Grassi, G ;
Mascolo, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1011-1014
[7]   Synchronizing hyperchaotic systems by observer design [J].
Grassi, G ;
Mascolo, S .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, 46 (04) :478-483
[8]   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
[9]  
Madan RN, 1993, CHUAS CIRCUIT PARADI
[10]   Experimental realization of observer-based hyperchaos synchronization [J].
Miller, DA ;
Grassi, G .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (03) :366-374