›› 2014, Vol. 23 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/23/7/070503

• GENERAL • 上一篇    下一篇

Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit

包伯成a, 胡丰伟a, 刘中b, 许建平c   

  1. a School of Information Science and Engineering, Changzhou University, Changzhou 213164, China;
    b Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
    c School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
  • 收稿日期:2013-11-12 修回日期:2013-12-24 出版日期:2014-07-15 发布日期:2014-07-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 51277017) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012583).

Mapping equivalent approach to analysis and realization of memristor-based dynamical circuit

Bao Bo-Cheng (包伯成)a, Hu Feng-Wei (胡丰伟)a, Liu Zhong (刘中)b, Xu Jian-Ping (许建平)c   

  1. a School of Information Science and Engineering, Changzhou University, Changzhou 213164, China;
    b Department of Electronic Engineering, Nanjing University of Science and Technology, Nanjing 210094, China;
    c School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2013-11-12 Revised:2013-12-24 Online:2014-07-15 Published:2014-07-15
  • Contact: Bao Bo-Cheng E-mail:mervinbao@126.com
  • About author:05.45.-a; 05.45.Tp
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 51277017) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012583).

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摘要： A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical circuit with the same topologies and circuit parameters. A memristor-based chaotic circuit and the corresponding Chua's chaotic circuit with two output differentiators are taken as examples to illustrate this approach. Equivalent dynamical analysis and realization of the memristor-based chaotic circuit are performed by using Chua's chaotic circuit. The results indicate that the outputs of memristor-based chaotic circuit and the corresponding outputs of Chua's chaotic circuit have identical dynamics. The proposed approach verified by numerical simulations and experimental observations is useful in designing and analyzing memristor-based dynamical circuits.

关键词: dynamics, mapping equivalent approach, memristor, nonlinear circuit

Abstract: A novel mapping equivalent approach is proposed in this paper, which can be used for analyzing and realizing a memristor-based dynamical circuit equivalently by a nonlinear dynamical circuit with the same topologies and circuit parameters. A memristor-based chaotic circuit and the corresponding Chua's chaotic circuit with two output differentiators are taken as examples to illustrate this approach. Equivalent dynamical analysis and realization of the memristor-based chaotic circuit are performed by using Chua's chaotic circuit. The results indicate that the outputs of memristor-based chaotic circuit and the corresponding outputs of Chua's chaotic circuit have identical dynamics. The proposed approach verified by numerical simulations and experimental observations is useful in designing and analyzing memristor-based dynamical circuits.

Key words: dynamics, mapping equivalent approach, memristor, nonlinear circuit

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Tp (Time series analysis)