A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers

被引:82
|
作者
Wang, Chunhua [1 ]
Xia, Hu [1 ]
Zhou, Ling [1 ]
机构
[1] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha 410082, Hunan, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 06期
基金
中国国家自然科学基金;
关键词
Hyperchaos; multiscroll attractor; memristor; circuit implementation; CIRCUIT IMPLEMENTATION; CHAOTIC ATTRACTORS; NEURAL-NETWORKS; SYNCHRONIZATION; GENERATION;
D O I
10.1142/S0218127417500912
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A memristor is the fourth circuit element, which has wide applications in chaos generation. In this paper, a four-dimensional hyperchaotic jerk system based on a memristor is proposed, where the scroll number of the memristive jerk system is controllable. The new system is constructed by introducing one extra flux-controlled memristor into three-dimensional multiscroll jerk system. We can get different scroll attractors by varying the strength of memristor in this system without changing the circuit structure. Such a method for controlling the scroll number without changing the circuit structure is very important in designing the modern circuits and systems. The new memristive jerk system can exhibit a hyperchaotic attractor, which has more complex dynamic behavior. Furthermore, coexisting attractors are observed in the system. Phase portraits, dissipativity, equilibria, Lyapunov exponents and bifurcation diagrams are analyzed. Finally, the circuit implementation is carried out to verify the new system.
引用
收藏
页数:15
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