Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (4): 40502-040502.doi: 10.1088/1674-1056/22/4/040502

• GENERAL • 上一篇    下一篇

Memristor oscillator based on twin-T network

李志军a b, 曾以成a   

  1. a College of Information Engineering，Xiangtan University, Xiangtan 411105, China;
    b Department of Optoelectronic Engineering，Xiangtan University, Xiangtan 411105, China
  • 收稿日期:2012-08-20 修回日期:2012-09-21 出版日期:2013-03-01 发布日期:2013-03-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60972147 and 61176032).

Memristor oscillator based on twin-T network

Li Zhi-Jun (李志军)a b, Zeng Yi-Cheng (曾以成)a   

  1. a College of Information Engineering，Xiangtan University, Xiangtan 411105, China;
    b Department of Optoelectronic Engineering，Xiangtan University, Xiangtan 411105, China
  • Received:2012-08-20 Revised:2012-09-21 Online:2013-03-01 Published:2013-03-01
  • Contact: Li Zhi-Jun E-mail:lizhijun@xtu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 60972147 and 61176032).

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摘要： A novel inductance-free nonlinear oscillator circuit with a single bifurcation parameter is presented in this paper. This circuit is composed of a twin-T oscillator, a passive RC network, and a flux-controlled memristor. With the increase of control parameter, the circuit exhibits complicated chaotic behaviors from double periodicity. The dynamic properties of the circuit are demonstrated by means of equilibrium stability, Lyapunov exponent spectrum, and bifurcation diagram. In order to confirm the occurrence of chaotic behavior in the circuit, an analog realization of the piecewise-linear flux controlled memristor is proposed and Pspice simulation is conducted on the resulting circuit.

关键词: chaos, memristor, piecewise-linear, twin-T oscillator

Abstract: A novel inductance-free nonlinear oscillator circuit with a single bifurcation parameter is presented in this paper. This circuit is composed of a twin-T oscillator, a passive RC network, and a flux-controlled memristor. With the increase of control parameter, the circuit exhibits complicated chaotic behaviors from double periodicity. The dynamic properties of the circuit are demonstrated by means of equilibrium stability, Lyapunov exponent spectrum, and bifurcation diagram. In order to confirm the occurrence of chaotic behavior in the circuit, an analog realization of the piecewise-linear flux controlled memristor is proposed and Pspice simulation is conducted on the resulting circuit.

Key words: chaos, memristor, piecewise-linear, twin-T oscillator

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a