Chaos-Based Application of a Novel Multistable 5D Memristive Hyperchaotic System with Coexisting Multiple Attractors

被引:60
|
作者
Yu, Fei [1 ]
Liu, Li [1 ]
Qian, Shuai [1 ]
Li, Lixiang [1 ]
Huang, Yuanyuan [1 ]
Shi, Changqiong [1 ]
Cai, Shuo [1 ]
Wu, Xianming [2 ]
Du, Sichun [3 ]
Wan, Qiuzhen [4 ]
机构
[1] Changsha Univ Sci & Technol, Sch Comp & Commun Engn, Changsha 410114, Peoples R China
[2] Guizhou Normal Univ, Sch Mech & Elect Engn, Guiyang 550025, Peoples R China
[3] Hunan Univ, Coll Comp Sci & Elect Engn, Changsha 410082, Hunan, Peoples R China
[4] Hunan Normal Univ, Coll Informat Sci & Engn, Changsha 410081, Peoples R China
基金
中国国家自然科学基金;
关键词
ELECTRONIC-CIRCUIT DESIGN; SHAPE SYNCHRONIZATION; ENCRYPTION SCHEME; SYNONYM SUBSTITUTION; DYNAMICAL ANALYSIS; ALGORITHM; NUMBER; TIME; EQUILIBRIUM; NETWORK;
D O I
10.1155/2020/8034196
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Novel memristive hyperchaotic system designs and their engineering applications have received considerable critical attention. In this paper, a novel multistable 5D memristive hyperchaotic system and its application are introduced. The interesting aspect of this chaotic system is that it has different types of coexisting attractors, chaos, hyperchaos, periods, and limit cycles. First, a novel 5D memristive hyperchaotic system is proposed by introducing a flux-controlled memristor with quadratic nonlinearity into an existing 4D four-wing chaotic system as a feedback term. Then, the phase portraits, Lyapunov exponential spectrum, bifurcation diagram, and spectral entropy are used to analyze the basic dynamics of the 5D memristive hyperchaotic system. For a specific set of parameters, we find an unusual metastability, which shows the transition from chaotic to periodic (period-2 and period-3) dynamics. Moreover, its circuit implementation is also proposed. By using the chaoticity of the novel hyperchaotic system, we have developed a random number generator (RNG) for practical image encryption applications. Furthermore, security analyses are carried out with the RNG and image encryption designs.
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页数:19
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