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Chin. Phys. B, 2015, Vol. 24(6): 060506    DOI: 10.1088/1674-1056/24/6/060506
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Dynamical characteristics of an HP memristor based on an equivalent circuit model in a chaotic oscillator

Yuan Fang (袁方), Wang Guang-Yi (王光义), Wang Xiao-Yuan (王晓媛)
School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China
Abstract  

To develop real world memristor application circuits, an equivalent circuit model which imitates memductance (memory conductance) of the HP memristor is presented. The equivalent circuit can be used for breadboard experiments for various application circuit designs of memristor. Based on memductance of the realistic HP memristor and Chua's circuit a new chaotic oscillator is designed. Some basic dynamical behaviors of the oscillator, including equilibrium set, Lyapunov exponent spectrum, and bifurcations with various circuit parameters are investigated theoretically and numerically. To confirm the correction of the proposed oscillator an analog circuit is designed using the proposed equivalent circuit model of an HP memristor, and the circuit simulations and the experimental results are given.

Keywords:  memristor      chaotic oscillator      equivalent circuit  
Received:  01 December 2014      Revised:  09 January 2015      Accepted manuscript online: 
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Jn (High-dimensional chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 61271064 and 60971046), the Natural Science Foundation of Zhejiang Province, China (Grant No. LZ12F01001), and the Program for Zhejiang Leading Team of Science and Technology Innovation, China (Grant No. 2010R50010-07).

Corresponding Authors:  Wang Guang-Yi     E-mail:  wanggyi@163.com
About author:  05.45.-a; 05.45.Jn; 05.45.Pq

Cite this article: 

Yuan Fang (袁方), Wang Guang-Yi (王光义), Wang Xiao-Yuan (王晓媛) Dynamical characteristics of an HP memristor based on an equivalent circuit model in a chaotic oscillator 2015 Chin. Phys. B 24 060506

[1] Chua L O 1971 IEEE Trans. Circuit Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R and Williams R S 2008 Nature 453 80
[3] Itoh M and Chua L O 2010 Int. J. Bifur. Chaos 20 1567
[4] Bao B C, Xu J P and Liu Z 2010 Chin. Phys. Lett. 27 070504
[5] Bao B C, Liu Z and Xu J P 2010 Chin. Phys. B 19 030510
[6] Wen S, Zeng Z and Huang T 2012 Phys. Lett. A 376 2775
[7] Bao B C, Shi G D, Xu J P, Liu Z and Pan S H 2011 Sci. China Ser. E-Tech. Sci. 54 2180
[8] Li Z J and Zeng Y C 2013 Chin. Phys. B 22 040502
[9] Muthuswamy B and Chua L O 2010 Int. J. Bifur. Chaos Appl. Sci. Eng. 20 1567
[10] Fitch A L, Yu D S, Iu H H C and Sreeram V 2012 Int. J. Bifur. Chaos Appl. Sci. Eng. 22 1250133
[11] Petras I 2010 IEEE Trans. Circuits Syst. 57 975
[12] Pham V T, Buscarino A, Fortuna L and Frasca M 2013 Int. J. Bifur. Chaos Appl. Sci. Eng. 23 1350073
[13] Li Z J, Zeng Y C and Li Z B 2014 Acta Phys. Sin. 63 010502 (in Chinese)
[14] Buscarino A, Fortuna L, Frasca M and Gambuzza L V 2012 Chaos 22 023136
[15] Wang G Y, He J L, Yuan F and Peng C J 2013 Chin. Phys. Lett. 30 110506
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