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A meminductor is a new type of nonlinear inductor with memory, which is generalized from the concept of a memristor and defined by current-flux. This paper presents a flux-controlled meminductor model with a smooth quadratic function and designs its corresponding equivalent circuit, which can be used as an emulator to imitate the behavior of a meminductor when actual solid-state meminductor has not yet appeared. Furthermore, a new chaotic oscillator is designed based on this meminductor model, and the dynamical behaviors of the oscillator are investigated, such as chaotic attractors, equilibrium points, Lyapunov exponent spectrum, bifurcations and dynamical map of the system, etc. Bifurcation analysis shows that the meminductor can make the oscillator produce periodic and chaotic oscillations. Moreover, an analog circuit is designed to confirm the correction of the proposed oscillator using the proposed equivalent circuit model of meminductor. It is shown that the experimental results are in good agreement with that of the numerical simulations and the theoretical analysis.
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Keywords:
- meminductor /
- oscillation /
- chaos
[1] Chua L O 1971 IEEE Trans. Circuit Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Di Ventra M, Pershin Y V, Chua L O 2009 Proc. IEEE 97 1717
[4] Liu H J, Li Z W, Y H Q, Sun Z L, Nie H S 2014 Chin. Phys. B 23 118402
[5] Bao B C, Hu F W, Liu Z, Xu J P 2014 Chin. Phys. B 23 070503
[6] Liu W, Wang F Q, Ma X K 2015 Int. J. Numer Model El 28 335
[7] Wang G Y, He J L, Yuan F, Peng C J 2013 Chin. Phys. Lett. 30 110506
[8] Sah M P, Budhathoki R K, Yang C, Kim H 2014 Circ. Syst. Signal Pr 33 2363
[9] Yuan F, Wang G Y, Wang X Y 2015 Chin. Phys. B 24 060506
[10] Pei J S, Wright J P, Todd M D, Masri S F, Gay-Balmaz F 2015 Nonlinear Dynamics 80 457
[11] Fouda ME, Radwan AG 2014 Microelectron J. 45 1372
[12] Minaei S, Goknar IC, Yildiz M, Yuce E 2015 Int. J. Electron 102 911
[13] Pershin Y V, Di Ventra M 2010 Electron Lett. 46 517
[14] Pershin Y V, Di Ventra M 2011 Adv. Phys. 60 145
[15] Biolek D, Biolek Z, Biolkova V 2011 Analog Integr. Circ. S 66 129
[16] Biolek D, Biolek Z, Biolkova V 2011 Electron Lett. 47 1385
[17] Liang Y, Yu D S, Chen H 2013 Acta Phys. Sin. 62 158501 (in Chinese) [梁燕, 于东升, 陈昊 2013 62 158501]
[18] Yu D S, Liang Y, Iu HHC, Chua L O 2014 IEEE T Circuits-II 61 758
[19] Liang Y, Chen H, Yu D S 2014 IEEE T Circuits-II 61 299
[20] Han J H, Song C, Gao S, Wang Y Y, Chen C, Pan F 2014 Acs. Nano 8 10043
[21] Abdelouahab MS, Lozi R, Chua L 2014 Int. J. Bifurcat Chaos 24 1430023
[22] Fouda M E., Radwan A G 2014 Circ. Syst. Signal Pr 33 1573
[23] Sah M P, Budhathoki R K, Yang C, Kim H 2014 J. Semicond Tech. Sci. 14 750
[24] Yin Z Y, Tian H, Chen G H, Chua L O 2015 IEEE T Circuits-II 62 402
[25] Bao B C, Wang C L, W G H, Q X H 2014 Acta Phys. Sin. 63 020504 (in Chinese) [包伯成, 王春丽, 武花干, 乔晓华 2014 63 020504]
[26] Bao B C, Liu Z, Henry L 2014 Electron Lett. 50 1344
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[1] Chua L O 1971 IEEE Trans. Circuit Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Di Ventra M, Pershin Y V, Chua L O 2009 Proc. IEEE 97 1717
[4] Liu H J, Li Z W, Y H Q, Sun Z L, Nie H S 2014 Chin. Phys. B 23 118402
[5] Bao B C, Hu F W, Liu Z, Xu J P 2014 Chin. Phys. B 23 070503
[6] Liu W, Wang F Q, Ma X K 2015 Int. J. Numer Model El 28 335
[7] Wang G Y, He J L, Yuan F, Peng C J 2013 Chin. Phys. Lett. 30 110506
[8] Sah M P, Budhathoki R K, Yang C, Kim H 2014 Circ. Syst. Signal Pr 33 2363
[9] Yuan F, Wang G Y, Wang X Y 2015 Chin. Phys. B 24 060506
[10] Pei J S, Wright J P, Todd M D, Masri S F, Gay-Balmaz F 2015 Nonlinear Dynamics 80 457
[11] Fouda ME, Radwan AG 2014 Microelectron J. 45 1372
[12] Minaei S, Goknar IC, Yildiz M, Yuce E 2015 Int. J. Electron 102 911
[13] Pershin Y V, Di Ventra M 2010 Electron Lett. 46 517
[14] Pershin Y V, Di Ventra M 2011 Adv. Phys. 60 145
[15] Biolek D, Biolek Z, Biolkova V 2011 Analog Integr. Circ. S 66 129
[16] Biolek D, Biolek Z, Biolkova V 2011 Electron Lett. 47 1385
[17] Liang Y, Yu D S, Chen H 2013 Acta Phys. Sin. 62 158501 (in Chinese) [梁燕, 于东升, 陈昊 2013 62 158501]
[18] Yu D S, Liang Y, Iu HHC, Chua L O 2014 IEEE T Circuits-II 61 758
[19] Liang Y, Chen H, Yu D S 2014 IEEE T Circuits-II 61 299
[20] Han J H, Song C, Gao S, Wang Y Y, Chen C, Pan F 2014 Acs. Nano 8 10043
[21] Abdelouahab MS, Lozi R, Chua L 2014 Int. J. Bifurcat Chaos 24 1430023
[22] Fouda M E., Radwan A G 2014 Circ. Syst. Signal Pr 33 1573
[23] Sah M P, Budhathoki R K, Yang C, Kim H 2014 J. Semicond Tech. Sci. 14 750
[24] Yin Z Y, Tian H, Chen G H, Chua L O 2015 IEEE T Circuits-II 62 402
[25] Bao B C, Wang C L, W G H, Q X H 2014 Acta Phys. Sin. 63 020504 (in Chinese) [包伯成, 王春丽, 武花干, 乔晓华 2014 63 020504]
[26] Bao B C, Liu Z, Henry L 2014 Electron Lett. 50 1344
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