Multiscroll Hyperchaotic System with Hidden Attractors and Its Circuit Implementation

被引：69
作者：
Zhang, Xin [1 ]
Wang, Chunhua [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 | 2019年 / 29卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Multiscroll; hyperchaotic; hidden attractor; adaptive synchronization; hardware experiment; CHAOTIC SYSTEM; INFINITE NUMBER; EQUILIBRIUM; SYNCHRONIZATION; DESIGN; FAMILY; FLOWS; MODEL;
D O I：
10.1142/S0218127419501177
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the study on Jerk chaotic system, a multiscroll hyperchaotic system with hidden attractors is proposed in this paper, which has infinite number of equilibriums. The chaotic system can generate N+M+2 scroll hyperchaotic hidden attractors. The dynamic characteristics of the multiscroll hyperchaotic system with hidden attractors are analyzed by means of dynamic analysis methods such as Lyapunov exponents and bifurcation diagram. In addition, we have studied the synchronization of the system by applying an adaptive control method. The hardware experiment of the proposed multiscroll hyperchaotic system with hidden attractors is carried out using discrete components. The hardware experimental results are consistent with the numerical simulation results of MATLAB and the theoretical analysis results.
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页数：14
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