Chaos in a neuron model with adaptive feedback synapse: Electronic circuit design

Li Chun-Guang; Chen Jun

doi:10.7498/aps.60.050503

Abstract

In a neuron model with adaptive feedback synapse, with the change of parameters, the existence of two coexisting chaotic attractors, switching from the coexisting chaotic attractors to a connected chaotic attractor,and then switching back to the two coexisting chaotic attractors in this model were recently reported. An electronic circuit design for this model is described in detail in this paper. The circuit design of the non-monotonous activation function unit is also considered in detail. The designed circuits are simulated using the Electronic Workbench (EWB) software. Simulation results demonstrate that the dynamical behaviors of the designed circuit are closely similar to those in numerical simulations.

Keywords:

Authors and contacts

Li Chun-Guang¹,
Chen Jun²

(1)Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China; (2)Department of Physics and Electronic Engineering, Dingxi Teachers’ College, Dingxi 743000, China; Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027, China

References

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[2]	Li C G, Chen G R 2005 Chaos, Solitons and Fractals 23 1599
[3]	Kürten K E, Clark J W 1986 Phys. Let. A 114 413
[4]	Zou F, Nossek J A 1993 IEEE Trans. CSA-I 40 166
[5]	Li C G, Yu J B, Liao X F 2001 Phys. Lett. A 285 368
[6]	Li C G, Chen G R, Liao X F 2005 Int. J. Bifur. Chaos 15 2633
[7]	Bondarenko V E 1997 Phys. Lett. A 236 513
[8]	Li C G, Chen G R, Liao X F, Yu J B 2004 Eur. Phys. J. B 41 337
[9]	Liao X F, Wong K W, Leung C S, Wu Z F 2001 Chaos, Solitons and Fractals 12 1535
[10]	Gilli M 1993 IEEE Trans. CAS-I 40 849
[11]	Lu H T 2002 Phys. lett. A 298 109
[12]	Wheeler D W, Schieve W C 1997 Phys. D 105 267
[13]	Chen L N, Aihara K 1995 Neural Networks8 915
[14]	Chen L N, Aihara K 2001 IEEE Trans. CAS-I 47 1455
[15]	Li C G, Liao X F, Yu J B 2003 Neurocomputing 55 731
[16]	Wang Q Y, Lu Q S, Wang H X 2005 Chin. Phys. 14 2189
[17]	Wang Q Y, Lu Q S, Chen G R 2008 Int. J. Bifur. Chaos 18 1189
[18]	Duan S K, Liao X F 2007 Phys. Lett. A 369 37
[19]	Duan S K, Wang L D 2009 Computers & Mathematics with Applications 57 1736
[20]	Sekikawa M, Kohno T, Aihara K 2008 Artif Life and Robotics 13 116
[21]	Takemoto T, Kohno T, Aihara K 2007 Int. J. Bifur. Chaos 17 459
[22]	Chen J, Li C G 2011 Acta Phys. Sin. 60 020502 (in Chinese) [陈军、李春光 2011 物理学报 60 020502]
[23]	Caroppo D, Stramaglia S 1998 Phys. Lett. A 246 55
[24]	Dror G, Tsodyks M 2000 Neurocomputing 32-33 365
[25]	Dong D W, Hopfield J J 1992 Network: Comp Neural Sys. 3 267
[26]	Wang G H 2008 Circuit designing and its application of Multisim 10 (Beijing: National Defense Industry Publishing House) p122 (in Chinese) [王冠华2008 Multisim10电路设计及应用 (北京:国防工业出版社) 第122页]
[27]	Jia H Y, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 4469 (in Chinese) [贾红艳、陈增强、袁著祉 2009 物理学报 58 4469]
[28]	Liu L, Su Y Z, Liu C X 2007 Acta Phys. Sin. 56 1966 ( in Chinese) [刘凌、苏燕辰、刘崇新 2007 物理学报 56 1966]
[29]	Cang S J, Chen Z Q, Wu W J 2009 Chin. Phys. B 18 1792
[30]	Chen Z Y, Zhang X F, Bi Q S 2010 Acta Phys. Sin. 59 2326 (in Chinese) [陈章耀、张晓芳、毕勤胜 2010 物理学报 59 2326]
[31]	Liu C X 2007 Acta Phys. Sin. 56 6865 ( in Chinese) [刘崇新 2007 物理学报 56 6865]
[32]	Zhang R X, Yang S P 2010 Chin. Phys. B 19 020510
[33]	Wang H X, Cai G L, Miao S, Tian L X 2010 Chin. Phys. B 19 030509

Cited By

[1]	Tao C H, Lu J A, Lü J H 2002 Acta Phys. sin. 51 1497 (in Chinese)[陶朝海、陆君安、吕金虎 2002 物理学报 51 1497]
[2]	Li C G, Chen G R 2005 Chaos, Solitons and Fractals 23 1599
[3]	Kürten K E, Clark J W 1986 Phys. Let. A 114 413
[4]	Zou F, Nossek J A 1993 IEEE Trans. CSA-I 40 166
[5]	Li C G, Yu J B, Liao X F 2001 Phys. Lett. A 285 368
[6]	Li C G, Chen G R, Liao X F 2005 Int. J. Bifur. Chaos 15 2633
[7]	Bondarenko V E 1997 Phys. Lett. A 236 513
[8]	Li C G, Chen G R, Liao X F, Yu J B 2004 Eur. Phys. J. B 41 337
[9]	Liao X F, Wong K W, Leung C S, Wu Z F 2001 Chaos, Solitons and Fractals 12 1535
[10]	Gilli M 1993 IEEE Trans. CAS-I 40 849
[11]	Lu H T 2002 Phys. lett. A 298 109
[12]	Wheeler D W, Schieve W C 1997 Phys. D 105 267
[13]	Chen L N, Aihara K 1995 Neural Networks8 915
[14]	Chen L N, Aihara K 2001 IEEE Trans. CAS-I 47 1455
[15]	Li C G, Liao X F, Yu J B 2003 Neurocomputing 55 731
[16]	Wang Q Y, Lu Q S, Wang H X 2005 Chin. Phys. 14 2189
[17]	Wang Q Y, Lu Q S, Chen G R 2008 Int. J. Bifur. Chaos 18 1189
[18]	Duan S K, Liao X F 2007 Phys. Lett. A 369 37
[19]	Duan S K, Wang L D 2009 Computers & Mathematics with Applications 57 1736
[20]	Sekikawa M, Kohno T, Aihara K 2008 Artif Life and Robotics 13 116
[21]	Takemoto T, Kohno T, Aihara K 2007 Int. J. Bifur. Chaos 17 459
[22]	Chen J, Li C G 2011 Acta Phys. Sin. 60 020502 (in Chinese) [陈军、李春光 2011 物理学报 60 020502]
[23]	Caroppo D, Stramaglia S 1998 Phys. Lett. A 246 55
[24]	Dror G, Tsodyks M 2000 Neurocomputing 32-33 365
[25]	Dong D W, Hopfield J J 1992 Network: Comp Neural Sys. 3 267
[26]	Wang G H 2008 Circuit designing and its application of Multisim 10 (Beijing: National Defense Industry Publishing House) p122 (in Chinese) [王冠华2008 Multisim10电路设计及应用 (北京:国防工业出版社) 第122页]
[27]	Jia H Y, Chen Z Q, Yuan Z Z 2009 Acta Phys. Sin. 58 4469 (in Chinese) [贾红艳、陈增强、袁著祉 2009 物理学报 58 4469]
[28]	Liu L, Su Y Z, Liu C X 2007 Acta Phys. Sin. 56 1966 ( in Chinese) [刘凌、苏燕辰、刘崇新 2007 物理学报 56 1966]
[29]	Cang S J, Chen Z Q, Wu W J 2009 Chin. Phys. B 18 1792
[30]	Chen Z Y, Zhang X F, Bi Q S 2010 Acta Phys. Sin. 59 2326 (in Chinese) [陈章耀、张晓芳、毕勤胜 2010 物理学报 59 2326]
[31]	Liu C X 2007 Acta Phys. Sin. 56 6865 ( in Chinese) [刘崇新 2007 物理学报 56 6865]
[32]	Zhang R X, Yang S P 2010 Chin. Phys. B 19 020510
[33]	Wang H X, Cai G L, Miao S, Tian L X 2010 Chin. Phys. B 19 030509

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Vol. 60, Issue 5 - 2011-03-05

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