A Simple Parallel Chaotic Circuit Based on Memristor |
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| Authors: | Xiefu Zhang Zean Tian Jian Li Zhongwei Cui |
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| Institution: | 1.Institute of Advanced Optoelectronic Materials, Technology of School of Big Data and Information Engineering, Guizhou Provincial Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China;2.College of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China; (J.L.); (Z.C.);3.College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China |
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| Abstract: | This paper reports a simple parallel chaotic circuit with only four circuit elements: a capacitor, an inductor, a thermistor, and a linear negative resistor. The proposed system was analyzed with MATLAB R2018 through some numerical methods, such as largest Lyapunov exponent spectrum (LLE), phase diagram, Poincaré map, dynamic map, and time-domain waveform. The results revealed 11 kinds of chaotic attractors, 4 kinds of periodic attractors, and some attractive characteristics (such as coexistence attractors and transient transition behaviors). In addition, spectral entropy and sample entropy are adopted to analyze the phenomenon of coexisting attractors. The theoretical analysis and numerical simulation demonstrate that the system has rich dynamic characteristics. |
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| Keywords: | memristor thermistor coexisting attractors state transition spectral entropy sample entropy |
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