Investigation on the dynamic behaviors of the coupled memcapacitor-based circuits

doi:10.1088/1674-1056/26/12/120701

Abstract In this paper, by referring to the concept of coupled memristors (MRs) and considering the flux coupling connection, the constitutive relations for describing the coupled memcapacitors (MCs) are theoretically deduced. The dynamic behaviors of dual coupled MCs in serial and parallel connections are analyzed in terms of identical or opposite polarities for the first time. Based on the derived constitutive relations of the two coupled MCs, the modified relaxation oscillators (ROs) are obtained with the purpose of achieving controllable oscillation frequency and duty cycle. In consideration of different parameter configurations, the experimental investigation is carried out by using practical off-the-shelf circuit components to verify the correction of the theoretical calculation with numerical simulation of the coupled MCs and its application in ROs.

Keywords: memcapacitor coupling strength relaxation oscillator parallel/serial connection

Received: 17 July 2017
Revised: 16 August 2017
Accepted manuscript online:

PACS:	07.50.Ek	(Circuits and circuit components)
	84.30.Ng	(Oscillators, pulse generators, and function generators)
	85.25.Hv	(Superconducting logic elements and memory devices; microelectronic circuits)

Fund: Project supported by the Fundamental Research Funds for China Central Universities (Grant No. 2015XKMS028).

Corresponding Authors: Dong-Sheng Yu
E-mail: dongsiee@163.com

Cite this article:

Zhi Zhou(周知), Dong-Sheng Yu(于东升), Xiao-Yuan Wang(王晓媛) Investigation on the dynamic behaviors of the coupled memcapacitor-based circuits 2017 Chin. Phys. B 26 120701

[1]	Chua L O 1971 IEEE Trans. Circ. Th. 18 507
[2]	Di Ventra M, Pershin Y V and Chua L O 2009 Proc. IEEE 97 1717
[3]	Bao B C, Yu J J, Hu F W and Liu Z 2014 Int. J. Bifur. Chaos 24 1450143
[4]	Yu Q, Bao B C, Hu F W, Xu Q, Chen M and Wang J 2014 Acta Phys. Sin. 63 240505(in Chinese)
[5]	Wu H G, Bao B C and Chen M 2014 Chin. Phys. B 23 118401
[6]	Wang G Y, Cai B Z and Jin P P 2016 Chin. Phys. B 25 010503
[7]	Pershin Y V and Ventra M D 2012 Proc. IEEE 100 2071
[8]	Li C B, Li C D and Huang T G 2013 Neurocomputing 12 370
[9]	Pei J S, Wright J P, Todd M D, Masri S F and Gay-Balmaz F 2015 Nonlinear Dyn. 80 457
[10]	Driscoll T, Quinn J, Klein S, Kim H T, Kim B J, Pershin Y V, Di Ventra M and Basov D N 2010 Appl. Phys. Lett. 97 093502
[11]	Wang G Y, Cai B Z, Jin P P and Hu T L 2016 Chin. Phys. B 25 010503
[12]	Yu D S, Liang Y, Iu H H C and Chua L O 2014 IEEE Trans. Circuits and Sys. Ⅱ, Exp. Briefs 61 758
[13]	Yu D S, Liang Y, Iu H H C and Hu Y H 2014 Chin. Phys. B 23 070702
[14]	Biolek D, Biolek Z and Biolkova V 2010 Electron. Lett. 46 520
[15]	Yu D S, Liang Y, Chen H and Iu H H C 2013 IEEE Trans. Circuits and Sys. Ⅱ, Exp. Briefs 60 207
[16]	Biolek D, Biolkova V, Kolka Z and Dobes J 2016 Circ. Sys. Signal. Pr. 35 43
[17]	Fouda M E, Khatib M A and Radwan A G 2013 25th International Conference on Microelectronics (ICM), December 15-18, 2013, Beirut, Lebanon, p. 1
[18]	Sah M P, Budhathoki R K, Yang C and Kim H 2013 Int. J. Bifur. Chaos 23 1330017
[19]	Fouda M E and Radwan A G 2015 Circ. Sys. Signal. Pr. 34 2765
[20]	Fouda M E and Radwan A G 2015 Int. J. Circ. Theor. Appl. 43 959
[21]	Yuan F, Wang G Y and Wang X W 2017 Chaos 27 033103
[22]	Wang G Y, Zang S C, Wang X Y, Yuan F and Iu H H C 2017 Chaos 27 013110
[23]	Wang G Y, Shi C B, Wang X W and Yuan F 2017 Math. Probl. Eng. 2017 6504969
[24]	Cai W R and Tetzlaff R 2014 IEEE International Symposium on Circuits and Systems (ISCAS), June 1-5, 2014, Melbourne, Australia, p. 1259
[25]	Yu D S, Zhou Z, Iu H H C, Fernando T and Hu Y 2016 IEEE Trans. Circuits and Sys. Ⅱ, Exp. Briefs 63 1101

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