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In this work, we propose a novel memristor chaotic circuit, which combines current feedback op amp with four basic electronic components, such as capacitance, inductance, resistance and memristor. The dynamic properties of the new circuit are demonstrated, such as system dissipation, equilibrium stability, phase portrait, Lyapunov exponent spectrum, and parameter influence. Numerical simulation results show that the circuit produces a kind of special chaotic attractor and exhibits complicated chaotic behaviour with the evolution of the system parameters. In order to confirm the correctness of the system, a realizing circuit is designed, Pspice simulation results verify the correctness of theoretical analysis.
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Keywords:
- chaotic circuit /
- memristor /
- current feedback op amp /
- circuit implementation
[1] Chua L O 1971 IEEE Trans. Circ. Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Chua L O, Kang S M 1976 Proc. IEEE 64 209
[4] Itoh M, Chua L O 2008 Int. J. Bifurc. Chaos 18 3183
[5] Muthuswamy B 2010 Int. J. Bifurc. Chaos 20 1335
[6] Bao B C, Liu Z, Xu J P 2010 Acta Phys. Sin. 59 3785(in Chinese)[包伯成, 刘中, 许建平 2010 物理学报 59 3785]
[7] Bao B C, Liu Z, Xu J P 2010 Chin. Phys. B 19 030510
[8] Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci. China: Tech. Sci. 41 1135 (in Chinese)[包伯成, 史国栋, 许建平, 刘中, 潘赛虎 2011 中国科学: 技术科学 41 1135]
[9] Muthuswamy B, Kokate P P 2009 IETE Tech. Rev. 26 417
[10] Li Z J, Zeng Y C 2013 Chin. Phys. B 22 040502
[11] Li Y X, Zhao L Y, Chi W Q, Lu S L, Huang X 2013 Appl. Mech. Mater. 275 2481
[12] Hong Q H, Zeng Y C, Li Z J 2013 Acta Phys. Sin. 62 230502(in Chinese)[洪庆辉, 曾以成, 李志军 2013 物理学报 62 230502]
[13] Ishaq A A, Srinivasan K, Murali K, Lakshmanan M 2011 Int. J. Bifur. Chaos 21 737
[14] Maudy B J, Sarkar A S, Gift S J 2006 IEEE Trans. Circ. Syst. Ⅱ 53 34
[15] Elwakil A S Kennedy M P 2000 Analog Integrated Circuits and Signal Processing 24 239
[16] Li Y, Yang B J 2003 Acta Phys. Sin. 52 526(in Chinese)[李月, 杨宝俊 2003 物理学报 52 526]
[17] Zeng Y C 2002 Ph. D. Dissertation (Hangzhou: Zhejiang University (in Chinese)[曾以成 2002 博士学位论文 (杭州: 浙江大学)]
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[1] Chua L O 1971 IEEE Trans. Circ. Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Chua L O, Kang S M 1976 Proc. IEEE 64 209
[4] Itoh M, Chua L O 2008 Int. J. Bifurc. Chaos 18 3183
[5] Muthuswamy B 2010 Int. J. Bifurc. Chaos 20 1335
[6] Bao B C, Liu Z, Xu J P 2010 Acta Phys. Sin. 59 3785(in Chinese)[包伯成, 刘中, 许建平 2010 物理学报 59 3785]
[7] Bao B C, Liu Z, Xu J P 2010 Chin. Phys. B 19 030510
[8] Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci. China: Tech. Sci. 41 1135 (in Chinese)[包伯成, 史国栋, 许建平, 刘中, 潘赛虎 2011 中国科学: 技术科学 41 1135]
[9] Muthuswamy B, Kokate P P 2009 IETE Tech. Rev. 26 417
[10] Li Z J, Zeng Y C 2013 Chin. Phys. B 22 040502
[11] Li Y X, Zhao L Y, Chi W Q, Lu S L, Huang X 2013 Appl. Mech. Mater. 275 2481
[12] Hong Q H, Zeng Y C, Li Z J 2013 Acta Phys. Sin. 62 230502(in Chinese)[洪庆辉, 曾以成, 李志军 2013 物理学报 62 230502]
[13] Ishaq A A, Srinivasan K, Murali K, Lakshmanan M 2011 Int. J. Bifur. Chaos 21 737
[14] Maudy B J, Sarkar A S, Gift S J 2006 IEEE Trans. Circ. Syst. Ⅱ 53 34
[15] Elwakil A S Kennedy M P 2000 Analog Integrated Circuits and Signal Processing 24 239
[16] Li Y, Yang B J 2003 Acta Phys. Sin. 52 526(in Chinese)[李月, 杨宝俊 2003 物理学报 52 526]
[17] Zeng Y C 2002 Ph. D. Dissertation (Hangzhou: Zhejiang University (in Chinese)[曾以成 2002 博士学位论文 (杭州: 浙江大学)]
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