Chaotic memristive circuit: equivalent circuit realization and dynamical analysis
Bao Bo-Cheng(包伯成)a)† , Xu Jian-Ping(许建平)b), Zhou Guo-Hua(周国华)b), Ma Zheng-Hua(马正华)a), and Zou Ling(邹凌)a)
aSchool of Information Science and Engineering, Changzhou University, Changzhou 213164, China; bSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
Abstract In this paper, a practical equivalent circuit of an active flux-controlled memristor characterized by smooth piecewise-quadratic nonlinearity is designed and an experimental chaotic memristive circuit is implemented. The chaotic memristive circuit has an equilibrium set and its stability is dependent on the initial state of the memristor. The initial state-dependent and the circuit parameter-dependent dynamics of the chaotic memristive circuit are investigated via phase portraits, bifurcation diagrams and Lyapunov exponents. Both experimental and simulation results validate the proposed equivalent circuit realization of the active flux-controlled memristor.
Received: 08 June 2011
Revised: 28 June 2011
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Fund: Project supported by the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2009105).
Cite this article:
Bao Bo-Cheng(包伯成), Xu Jian-Ping(许建平), Zhou Guo-Hua(周国华), Ma Zheng-Hua(马正华), and Zou Ling(邹凌) Chaotic memristive circuit: equivalent circuit realization and dynamical analysis 2011 Chin. Phys. B 20 120502
[1]
Chua L O 1971 IEEE Trans. Circ. Theory CT-18 507
[2]
Strukov D B, Snider G S, Stewart D R and Williams R S 2008 Nature 453 80
[3]
Wang F Z, Helian N, Wu S, Lim M G, Guo Y and Parker M A 2010 IEEE Electron. Dev. Lett. 31 755
[4]
Pershin Y V and Di Ventra M 2010 Neural Networks 23 881
[5]
Pershin Y V and Di Ventra M 2010 IEEE Trans. Circuits Sys. I: Regular Papers 57 1857
[6]
Pershin Y V and Di Ventra M 2011 Adv. Phys. 60 145
[7]
Witrisal K 2009 Electron. Lett. 45 713
[8]
Itoh M and Chua L O 2008 Int. J. Bifurc. Chaos 18 3183
[9]
Muthuswamy B and Kokate P P 2009 IETE Tech. Rev. 26 415
[10]
Bao B C, Liu Z and Xu J P 2010 Electron. Lett. 46 228
[11]
Bao B C, Liu Z and Xu J P 2010 Chin. Phys. B 19 030510
[12]
Bao B C, Liu Z and Xu J P 2010 Acta Phys. Sin. 59 3785 (in Chinese)
[13]
Muthuswamy B 2010 Int. J. Bifurc. Chaos 20 1335
[14]
Iu H H C, Yu D S, Fitch A L, Sreeram V and Chen H 2011 IEEE Trans. Circuits Sys. I: Regular Papers, DOI: 10.1109/TCSI.2010. 2097771
[15]
Bao B C, Xu J P and Liu Z 2010 Chin. Phys. Lett. 27 070504
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
