A novel simple chaotic circuit based on memristor-memcapacitor

被引：125
作者：
Ma, Xujiong [1 ]
Mou, Jun [1 ]
Liu, Jian [2 ]
Ma, Chenguang [1 ]
Yang, Feifei [1 ]
Zhao, Xiu [2 ]
机构：
[1] Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China
[2] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
来源：
NONLINEAR DYNAMICS | 2020年 / 100卷 / 03期
关键词：
Simple chaotic circuit; Memcapacitor and memristor; Coexisting attractors; State transition; DSP implement; SYNCHRONIZATION; SYSTEM; OSCILLATOR; EMULATOR; NETWORK; DESIGN;
D O I：
10.1007/s11071-020-05601-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we focus on a novel simple chaotic circuit with a memristor, a memcapacitor and a linear inductor in parallel. Then we establish the circuit's dimensionless mathematical model. Nineteen types of different chaotic attractors are found in the circuit. The chaotic system's equilibrium point and stability are analyzed by using the traditional dynamic analysis methods, and the dynamical behaviors with three varying parameters of this circuit are analyzed in detail. Furthermore, some special phenomena such as state transition, chaos degradation and the multiple coexisting attractors are discovered. Finally, we implement this circuit through the DSP platform and the results illustrate the validity of the theoretical analysis. Theoretical analysis and simulation results indicate that the simple chaotic circuit has very rich dynamical characteristics.
引用
收藏
页码：2859 / 2876
页数：18
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