Analysis and implementation of memristor chaotic circuit

被引：51

作者：

Bao Bo-Cheng ^{[1
]}

Hu Wen ^{[2
]}

Xu Jian-Ping ^{[3
]}

Liu Zhong ^{[4
]}

Zou Ling ^{[1
]}

机构：

[1] Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Elect & Informat Engn, Nanjing 210016, Peoples R China

[3] SW Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China

[4] Nanjing Univ Sci & Technol, Dept Elect Engn, Nanjing 210094, Jiangsu, Peoples R China

来源：

ACTA PHYSICA SINICA | 2011年 / 60卷 / 12期

基金：

中国国家自然科学基金;

关键词：

memristor; chaotic circuit; initial state; equivalent circuit;

D O I：

10.7498/aps.60.120502

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Memristor with memory function is the fourth fundamental two-terminal circuit element, besides resistor, capacitor and inductor. In this paper, a smooth flux-controlled memristor is described by a monotone-increasing nonlinearity curve in the phi-q plane, and it has an italic type "8" like voltage current relation curve that looks like a pinched hysteresis loop characteristics. By replacing Chua's diode with an active memristor consisting of a smooth flux-controlled memristor and a negative conductance, a memristor based chaotic oscillation is derived from Chua's circuit. Furthermore, the equivalent circuit implementation form for the active memristor is designed by utilizing conventional components such as operational amplifiers and multipliers. The results from theoretical analysis, numerical simulations and circuit simulations are completely identical with each other, and demonstrate that the dynamical behaviors of the memristor chaotic circuit are dependent on the memristor initial state, showing different orbits such as chaotic oscillation, periodic oscillation and stable sink under different initial states.

引用

页数：8

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