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Through introducing a generalized memristor and an LC absorbing network into Wien-bridge oscillator, a kind of memristive Wien-bridge chaotic oscillator is proposed. The dynamical model of the memristive Wien-bridge chaotic oscillator is established, based on which the equilibrium points and their stabilities are studied and the dynamical behaviors are further analyzed when the circuit element parameters are varied. The research findings indicate that the memristive Wien-bridge chaotic oscillator has three determinative equilibrium points and their stabilities depend on the circuit element parameters, and that there exist complex nonlinear phenomena including periodic oscillations, chaotic oscillations and fast-slow effects when the parameters are changed. The experimental circuit is simple and easy to realize. The experimental waveforms and numerical simulations are consistent with each other, which well verify the theoretical analyses.
[1] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[2] Bao B C, Xu J P, Liu Z 2010 Chin. Phys. Lett. 27 070504
[3] 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 59 3785]
[4] Bao B C, Liu Z, Xu J P 2010 Chin. Phys. B 19 030510
[5] Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[6] Li Z J, Zeng Y C 2013 Chin. Phys. B 22 040502
[7] Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci. China E: Tech. Sci. 54 2180
[8] Corinto F, Ascoli A, Gilli M 2011 IEEE Trans. Circuits Syst. I: Regular Papers 58 1323
[9] Wang L D, Drakakis E, Duan S K, He P F, Liao X F 2012 Int. J. Bifurcat. Chaos 22 1250205
[10] Buscarino A, Fortuna L, Frasca M, Gambuzza L V 2012 Chaos 22 023136
[11] Wang G Y, He J L, Yuan F, Peng C J 2013 Chin. Phys. Lett. 30 110506
[12] Li Z J, Zeng Y C, Li Z B 2014 Acta Phys. Sin. 63 010502 (in Chinese) [李志军, 曾以成, 李志斌 2014 63 010502]
[13] Gopakumar K, Premlet B, Gopchandran K G 2010 Int. J. Electron. Eng. Res. 4 489
[14] Corinto F, Ascoli A 2012 Electron. Lett. 48 824
[15] Bao B C, Yu J J, Hu F W, Liu Z 2014 Int. J. Bifurcat. Chaos 24 1450143
[16] Adhikari S P, Sah M P, Kim H, Chua L O 2013 IEEE Trans. Circuits Syst. I: Regular Papers 60 3008
[17] Wolf A Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[18] Meng J D, Bao B C, Xu Q 2011 Acta Phys. Sin. 60 010504 (in Chinese) [孟继德, 包伯成, 徐强 2011 60 010504]
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[1] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[2] Bao B C, Xu J P, Liu Z 2010 Chin. Phys. Lett. 27 070504
[3] 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 59 3785]
[4] Bao B C, Liu Z, Xu J P 2010 Chin. Phys. B 19 030510
[5] Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[6] Li Z J, Zeng Y C 2013 Chin. Phys. B 22 040502
[7] Bao B C, Shi G D, Xu J P, Liu Z, Pan S H 2011 Sci. China E: Tech. Sci. 54 2180
[8] Corinto F, Ascoli A, Gilli M 2011 IEEE Trans. Circuits Syst. I: Regular Papers 58 1323
[9] Wang L D, Drakakis E, Duan S K, He P F, Liao X F 2012 Int. J. Bifurcat. Chaos 22 1250205
[10] Buscarino A, Fortuna L, Frasca M, Gambuzza L V 2012 Chaos 22 023136
[11] Wang G Y, He J L, Yuan F, Peng C J 2013 Chin. Phys. Lett. 30 110506
[12] Li Z J, Zeng Y C, Li Z B 2014 Acta Phys. Sin. 63 010502 (in Chinese) [李志军, 曾以成, 李志斌 2014 63 010502]
[13] Gopakumar K, Premlet B, Gopchandran K G 2010 Int. J. Electron. Eng. Res. 4 489
[14] Corinto F, Ascoli A 2012 Electron. Lett. 48 824
[15] Bao B C, Yu J J, Hu F W, Liu Z 2014 Int. J. Bifurcat. Chaos 24 1450143
[16] Adhikari S P, Sah M P, Kim H, Chua L O 2013 IEEE Trans. Circuits Syst. I: Regular Papers 60 3008
[17] Wolf A Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
[18] Meng J D, Bao B C, Xu Q 2011 Acta Phys. Sin. 60 010504 (in Chinese) [孟继德, 包伯成, 徐强 2011 60 010504]
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