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A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers

Chunhua Wang

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, P. R. China

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Hu Xia

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, P. R. China

E-mail Address: 853200447@qq.com

Corresponding author.

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, and

Ling Zhou

College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, P. R. China

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https://doi.org/10.1142/S0218127417500912Cited by:80 (Source: Crossref)

Abstract

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.

Keywords:

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