中国物理B ›› 2016, Vol. 25 ›› Issue (9): 90502-090502.doi: 10.1088/1674-1056/25/9/090502

• GENERAL • 上一篇    下一篇

A flux-controlled model of meminductor and its application in chaotic oscillator

Guang-Yi Wang(王光义), Pei-Pei Jin(靳培培), Xiao-Wei Wang(王晓炜), Yi-Ran Shen(沈怡然), Fang Yuan(袁方), Xiao-Yuan Wang(王晓媛)   

  1. 1. Key Laboratory of RF Circuits and Systems (Ministry of Education), Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China;
    2. Department of Automation, Shanghai University, Shanghai 200072, China
  • 收稿日期:2016-02-24 修回日期:2016-04-26 出版日期:2016-09-05 发布日期:2016-09-05
  • 通讯作者: Xiao-Wei Wang E-mail:laura423_wang@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61271064, 61401134, and 60971046), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LZ12F01001 and LQ14F010008), and the Program for Zhejiang Leading Team of S&T Innovation, China (Grant No. 2010R50010).

A flux-controlled model of meminductor and its application in chaotic oscillator

Guang-Yi Wang(王光义)1, Pei-Pei Jin(靳培培)1, Xiao-Wei Wang(王晓炜)2, Yi-Ran Shen(沈怡然)1, Fang Yuan(袁方)1, Xiao-Yuan Wang(王晓媛)1   

  1. 1. Key Laboratory of RF Circuits and Systems (Ministry of Education), Institute of Modern Circuits and Intelligent Information, Hangzhou Dianzi University, Hangzhou 310018, China;
    2. Department of Automation, Shanghai University, Shanghai 200072, China
  • Received:2016-02-24 Revised:2016-04-26 Online:2016-09-05 Published:2016-09-05
  • Contact: Xiao-Wei Wang E-mail:laura423_wang@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61271064, 61401134, and 60971046), the Natural Science Foundation of Zhejiang Province, China (Grant Nos. LZ12F01001 and LQ14F010008), and the Program for Zhejiang Leading Team of S&T Innovation, China (Grant No. 2010R50010).

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摘要： A meminductor is a new type of memory device developed from the memristor. We present a mathematical model of a flux-controlled meminductor and its equivalent circuit model for exploring the properties of the meminductor in a nonlinear circuit. We explore the response characteristics of the meminductor under the exciting signals of sinusoidal, square, and triangular waves by using theoretical analysis and experimental tests, and design a meminductor-based oscillator based on the model. Theoretical analysis and experiments show that the meminductor-based oscillator possesses complex bifurcation behaviors and can generate periodic and chaotic oscillations. A special phenomenon called the co-existent oscillation that can generate multiple oscillations (such as chaotic, periodic oscillations as well as stable equilibrium) with the same parameters and different initial conditions occurs. We also design an analog circuit to realize the meminductor-based oscillator, and the circuit experiment results are in accordance with the theory analysis.

关键词: meminductor, oscillator, chaos, co-existent attractor

Abstract: A meminductor is a new type of memory device developed from the memristor. We present a mathematical model of a flux-controlled meminductor and its equivalent circuit model for exploring the properties of the meminductor in a nonlinear circuit. We explore the response characteristics of the meminductor under the exciting signals of sinusoidal, square, and triangular waves by using theoretical analysis and experimental tests, and design a meminductor-based oscillator based on the model. Theoretical analysis and experiments show that the meminductor-based oscillator possesses complex bifurcation behaviors and can generate periodic and chaotic oscillations. A special phenomenon called the co-existent oscillation that can generate multiple oscillations (such as chaotic, periodic oscillations as well as stable equilibrium) with the same parameters and different initial conditions occurs. We also design an analog circuit to realize the meminductor-based oscillator, and the circuit experiment results are in accordance with the theory analysis.

Key words: meminductor, oscillator, chaos, co-existent attractor

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Jn (High-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)