中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30510-030510.doi: 10.1088/1674-1056/19/3/030510

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Transient chaos in smooth memristor oscillator

刘中1, 包伯成2, 许建平3   

  1. (1)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; (2)Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; (3)School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
  • 收稿日期:2009-09-15 修回日期:2009-09-29 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.~60971090), and the Natural Science Foundations of Jiangsu Province, China (Grant No.~BK2009105).

Transient chaos in smooth memristor oscillator

Bao Bo-Cheng(包伯成)a)b)†, Liu Zhong(刘中) a), and Xu Jian-Ping(许建平)c)   

  1. a Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China; b School of Electrical and Information Engineering, Jiangsu Teachers University of Technology, Changzhou 213001, China; c School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2009-09-15 Revised:2009-09-29 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No.~60971090), and the Natural Science Foundations of Jiangsu Province, China (Grant No.~BK2009105).

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摘要： This paper presents a new smooth memristor oscillator, which is derived from Chua's oscillator by replacing Chua's diode with a flux-controlled memristor and a negative conductance. Novel parameters and initial conditions are dependent upon dynamical behaviours such as transient chaos and stable chaos with an intermittence period and are found in the smooth memristor oscillator. By using dynamical analysis approaches including time series, phase portraits and bifurcation diagrams, the dynamical behaviours of the proposed memristor oscillator are effectively investigated in this paper.

Abstract: This paper presents a new smooth memristor oscillator, which is derived from Chua's oscillator by replacing Chua's diode with a flux-controlled memristor and a negative conductance. Novel parameters and initial conditions are dependent upon dynamical behaviours such as transient chaos and stable chaos with an intermittence period and are found in the smooth memristor oscillator. By using dynamical analysis approaches including time series, phase portraits and bifurcation diagrams, the dynamical behaviours of the proposed memristor oscillator are effectively investigated in this paper.

Key words: dynamical behaviour, initial condition, memristor oscillator, transient chaos

中图分类号:  (Time series analysis)

  • 05.45.Tp
05.45.Gg (Control of chaos, applications of chaos) 05.45.Xt (Synchronization; coupled oscillators) 02.30.Oz (Bifurcation theory) 84.30.Ng (Oscillators, pulse generators, and function generators)