Chaotic circuit of ion migration memristor and its application in the voice secure communication

Min Guo-Qi; Wang Li-Dan; Duan Shu-Kai

doi:10.7498/aps.64.210507

Abstract

A memristor is a nonlinear element of nanoscale size with memory function and when it works as the nonlinear part in a chaotic system, the physical size of the system will be greatly reduced, rich nonlinear curve will be produced, and at the same time, the complexity of the chaotic systems and the randomness of signals will be enhanced. So in this paper, a new chaotic system is designed based on an ion migration memristor. The complex dynamic characteristics of the memristive system are investigated by means of theoretical derivation, numerical simulation, Lyapunov exponent spectrum, power spectrum, and Poincaré map. In addition, the change of system dynamic behaviors with the different parameters are analyzed. Then, a SPICE-based analog circuit is presented. The SPICE simulation results are in conformity with the numerical analysis, and thus verify that the chaotic systems can produce chaos. The linear feedback control structure is simple, economic and easy to realize in engineering practice, so the linear feedback control method has a high application value. At present, most studies focus on memristors' applications in memory and analog neural networks, but little research work is for voice security transmission. Therefore, by using the method of linear feedback control of chaotic synchronization, this paper proves the effectiveness of this method by numerical simulation experiments. As a result, it can achieve secure communication of voice signals. Finally, we conclude that the linear synchronous control method based on memristive chaotic system when applied to the secure communications can achieve the purpose of covering a specific speech. In addition, this method is able to restore the specific speech signal without distortion, which is very meaningful for the promotion of applications of memristor.

Keywords:

Authors and contacts

1.
School of Electronic and information engineering, Southwest University, Chongqing 400715, China

Corresponding author: Wang Li-Dan, ldwang@swu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61372139, 61571372, 61101233, 60972155), the New Century Excellent Talents in University(Grant No. [2013]47), the “Spring Sunshine Plan” Research Project of Ministry of Education of China (Grant No. z2011148), the Fundamental Research Funds for the Central Universities (Grant Nos. XDJK2016A001, XDJK2014A009), the Excellent Talents in Scientific and Technological Activities for Overseas Scholars, Ministry of Personnel in China (Grant No. 2012-186), the University Excellent Talents Supporting Foundations in of Chongqing (Grant No. 2011-65), and the University Key Teacher Supporting Foundations of Chongqing (Grant No. 2011-65).

References

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[3]	Kavehei O, Iqbal A, Kim Y S, Eshraghian K, Al-Sarawi S F, Abbott D 2010 Proc. R. Soc. A 466 2175
[4]	Biolek Z, Biolek D, Biolková V 2009 Radio. Eng. 18 210
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[9]	Wang L D, Drakakis E, Duan S K, He P F, Liao X F 2012 Int J Bifurcat Chaos 22 1250205
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[11]	Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci China Technol Sc. 54 2180
[12]	Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[13]	Bao B C, Feng F, Dong W, Pan S H 2013 Chin. Phys. B 22 068401
[14]	Corinto F, Ascoli A, Gilli M 2012IEEE World Congress on Computational Intelligence, WCCI, Brisbane, Australia, June 2012 p10-15
[15]	Pecora L M, Carroll T L 1990 Phys rev let. 64 821
[16]	Wang F Q, Liu C X 2006 Phys Lett A 360 274
[17]	Park J H 2005 Chaos, Soliton & Fract. 25 579
[18]	Chen Z S, Sun K H, Zhang T S 2005 Acta Phys. Sin. 54 2580 (in Chinese) [陈志盛, 孙克辉, 张泰山 2005 物理学报 54 2580]
[19]	Hegazi A S, Agiza H N, El-Dessoky M M 2002 Int J Bifurcat Chaos 12 1579
[20]	Park J H 2006 Chaos, Soliton & Fract. 27 1369
[21]	Li Z G, Xu D L 2004 Chaos, Soliton & Fract. 22 477
[22]	Lu J G 2005 Chaos, Soliton & Fract. 25 221
[23]	Kocarev L, Halle K S, Eckert K, Chua L O 1992 Int J Bifurcat Chaos 2 709
[24]	Cuomo K M, Oppenheim A V, Strogatz S H 1993 IEEE T CIRCUITS-II 40 626
[25]	Pehlivan I, Uyaroglu Y, Yogun M 2010 Sci Res Essays. 5 2210
[26]	Vontobel P O, Robinett W, Kuekes P J, Stewart D R, Williams R S, Straznicky J 2009 Nanotechnology 20 21
[27]	Jo S H, Chang T, Ebong I, Bhadviya B B, Mazumder P, Lu W 2010 Nano Lett. 10 1297
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[29]	Tang L R, Li J, Fan B, Zhai M Y 2009 Acta Phys. Sin. 58 785 (in Chinese) [唐良瑞, 李静, 樊冰, 翟明岳 2009 物理学报 58 785]
[30]	Liu W B, Chen G R 2003 Int J Bifurcat Chaos 13 261

Cited By

[1]	Chua L O 1971 IEEE Trans. Circ. Theor. 18 507
[2]	Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3]	Kavehei O, Iqbal A, Kim Y S, Eshraghian K, Al-Sarawi S F, Abbott D 2010 Proc. R. Soc. A 466 2175
[4]	Biolek Z, Biolek D, Biolková V 2009 Radio. Eng. 18 210
[5]	Pershin Y V, Di Ventra M 2008 Phys Rev B 78 3309
[6]	Jo S H, Kim K H, Lu W 2009 Nano let. 9 870
[7]	Hu X F, Chen G R, Duan S K, Feng G 2014 In Memristor Networks (Springer International Publishing) (pp351-364)
[8]	Muthuswamy B, Kokate P P 2009 IETE Tech Rev. 26 417
[9]	Wang L D, Drakakis E, Duan S K, He P F, Liao X F 2012 Int J Bifurcat Chaos 22 1250205
[10]	Zhong G Q, Man K F, Chen G R 2002 Int J Bifurcat Chaos 12 2907
[11]	Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci China Technol Sc. 54 2180
[12]	Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[13]	Bao B C, Feng F, Dong W, Pan S H 2013 Chin. Phys. B 22 068401
[14]	Corinto F, Ascoli A, Gilli M 2012IEEE World Congress on Computational Intelligence, WCCI, Brisbane, Australia, June 2012 p10-15
[15]	Pecora L M, Carroll T L 1990 Phys rev let. 64 821
[16]	Wang F Q, Liu C X 2006 Phys Lett A 360 274
[17]	Park J H 2005 Chaos, Soliton & Fract. 25 579
[18]	Chen Z S, Sun K H, Zhang T S 2005 Acta Phys. Sin. 54 2580 (in Chinese) [陈志盛, 孙克辉, 张泰山 2005 物理学报 54 2580]
[19]	Hegazi A S, Agiza H N, El-Dessoky M M 2002 Int J Bifurcat Chaos 12 1579
[20]	Park J H 2006 Chaos, Soliton & Fract. 27 1369
[21]	Li Z G, Xu D L 2004 Chaos, Soliton & Fract. 22 477
[22]	Lu J G 2005 Chaos, Soliton & Fract. 25 221
[23]	Kocarev L, Halle K S, Eckert K, Chua L O 1992 Int J Bifurcat Chaos 2 709
[24]	Cuomo K M, Oppenheim A V, Strogatz S H 1993 IEEE T CIRCUITS-II 40 626
[25]	Pehlivan I, Uyaroglu Y, Yogun M 2010 Sci Res Essays. 5 2210
[26]	Vontobel P O, Robinett W, Kuekes P J, Stewart D R, Williams R S, Straznicky J 2009 Nanotechnology 20 21
[27]	Jo S H, Chang T, Ebong I, Bhadviya B B, Mazumder P, Lu W 2010 Nano Lett. 10 1297
[28]	Wang Z J, Chen Z Q, Yuan Z Z 2006 Acta Phys. Sin. 55 3956 (in Chinese) [王杰智, 陈增强, 袁著祉 2006 物理学报 55 3956]
[29]	Tang L R, Li J, Fan B, Zhai M Y 2009 Acta Phys. Sin. 58 785 (in Chinese) [唐良瑞, 李静, 樊冰, 翟明岳 2009 物理学报 58 785]
[30]	Liu W B, Chen G R 2003 Int J Bifurcat Chaos 13 261

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Vol. 64, Issue 21 - 2015-11-05

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