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A dynamic threshold value control method is proposed to get control over a chaotic neural network (CNN). The sinusoidal signal, which constitutes the key component of the brain wave, is taken as the control signal to change the threshold value of the internal states of the CNN. The chaos control of the CNN is therefore reached with its outputs of the controlled CNN reciprocating between a stored pattern and its reverse pattern related with the initial pattern. And then the CNN can be applied in information processing, such as pattern recognitionetc. The chaos control method works in a self-adaption way since it does not need to set the threshold value beforehand, which is in accordance with brains’ thinking activities.
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Keywords:
- controlling chaos /
- chaotic neural network /
- dynamic threshold value control /
- information processing
[1] Aihara K, Takabe T, Toyoda M 1990 Phys. Lett. A 144 333
[2] Tokuda I, Nagashima T, Aihara K 1997 Neural Networks. 10 1673
[3] Wang B Y, Nie J N, He Z Y 1999 IEEE Trans. on Neural Networks. 10 1257
[4] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[5] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[6] Huberman B A, Lumer E 1990 IEEE Trans. on Circuits Syst. 37 547
[7] Hunt E R 1991 Phys. Rev. Lett. 67 1953
[8] Pyragas K, Tamasericius A 1992 Phys. Lett. A 170 421
[9] Luo X S, Fang J Q, Kong L J 2000 Acta Phys. Sin. 49 1423 (in Chinese) [罗晓曙, 方锦清, 孔令江 2000 49 1423]
[10] Chen S H, Liu J, Xie J 2002 Chin. Phys. 11 233
[11] L J H, Zhou T S, Zhang S C 2002 Chin. Phys. 11 12
[12] Li L X, Peng H P, Lu H B 2001 Chin. Phys. 10 796
[13] Li X L, Fu D X, Ma Y W 2006 Chin. Phys. Lett. 23 1519
[14] Sang H B, He K F 2004 Chin. Phys. Lett. 21 254
[15] Fahy S, Hamann D R 1992 Phys. Rev. Lett. 69 761
[16] Luo X S, Wang B H, Chen G R 2002 Acta Phys. Sin. 51 988 (in Chinese) [罗晓曙, 汪秉宏, 陈关荣 2002 51 988]
[17] Sang H B, He K F 2004 Chin. Phys. Lett. 21 254
[18] Huang L Y, Luo X S 2006 Chin. Phys. Lett. 23 297
[19] He G G, Cao Z T 2001 Acta Phys. Sin. 50 2103 (in Chinese) [何国光, 曹志彤 2001 50 2103]
[20] He G, Chen L, Aihara K 2008 Neurocomputing 71 2794
[21] He G, Shrimali M D, Aihara K 2007 Physics Letters A 371 228
[22] He G, Shrimali M D, Aihara K 2008 Neural networks 21 114
[23] He G G, Zhu P, Chen H P 2010 Acta Phys. Sin. 59 140 (in Chinese) [何国光, 朱萍, 陈宏平 2010 59 140]
[24] He G, Cao Z, Chen H, Zhu P 2003 International Journal of Modern Physics B 17 4209
[25] Zhang X, Shen K 2001 Phys. Rev. E 63 046212
[26] Watanabe M, Aihara K, Kondo S 1996 Electron. Commun. Japan Part III 79 87
[27] Osana Y, Hagiwara M 1999 Internat. J. Neural Syst. 9 285
[28] Wang Z, Fan H, Aihara K 2007 Internat. J. Bifur. Chaos 17 3085
[29] Li Y, Zhu P, Xie X, He G, Aihara K 2012 Phys. Lett. A 376 412
[30] Sih G C, Tang K K 2012 Theoretical and Applied Fracture Mechanics 61 21
[31] Freeman W J, Viana Di Prisco G 1986 Brain Theory (Berlin: Springer-Verlag) p97
[32] Freeman W J 1987 Biological Cybernetics 56 139
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[1] Aihara K, Takabe T, Toyoda M 1990 Phys. Lett. A 144 333
[2] Tokuda I, Nagashima T, Aihara K 1997 Neural Networks. 10 1673
[3] Wang B Y, Nie J N, He Z Y 1999 IEEE Trans. on Neural Networks. 10 1257
[4] Ott E, Grebogi C, Yorke J A 1990 Phys. Rev. Lett. 64 1196
[5] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[6] Huberman B A, Lumer E 1990 IEEE Trans. on Circuits Syst. 37 547
[7] Hunt E R 1991 Phys. Rev. Lett. 67 1953
[8] Pyragas K, Tamasericius A 1992 Phys. Lett. A 170 421
[9] Luo X S, Fang J Q, Kong L J 2000 Acta Phys. Sin. 49 1423 (in Chinese) [罗晓曙, 方锦清, 孔令江 2000 49 1423]
[10] Chen S H, Liu J, Xie J 2002 Chin. Phys. 11 233
[11] L J H, Zhou T S, Zhang S C 2002 Chin. Phys. 11 12
[12] Li L X, Peng H P, Lu H B 2001 Chin. Phys. 10 796
[13] Li X L, Fu D X, Ma Y W 2006 Chin. Phys. Lett. 23 1519
[14] Sang H B, He K F 2004 Chin. Phys. Lett. 21 254
[15] Fahy S, Hamann D R 1992 Phys. Rev. Lett. 69 761
[16] Luo X S, Wang B H, Chen G R 2002 Acta Phys. Sin. 51 988 (in Chinese) [罗晓曙, 汪秉宏, 陈关荣 2002 51 988]
[17] Sang H B, He K F 2004 Chin. Phys. Lett. 21 254
[18] Huang L Y, Luo X S 2006 Chin. Phys. Lett. 23 297
[19] He G G, Cao Z T 2001 Acta Phys. Sin. 50 2103 (in Chinese) [何国光, 曹志彤 2001 50 2103]
[20] He G, Chen L, Aihara K 2008 Neurocomputing 71 2794
[21] He G, Shrimali M D, Aihara K 2007 Physics Letters A 371 228
[22] He G, Shrimali M D, Aihara K 2008 Neural networks 21 114
[23] He G G, Zhu P, Chen H P 2010 Acta Phys. Sin. 59 140 (in Chinese) [何国光, 朱萍, 陈宏平 2010 59 140]
[24] He G, Cao Z, Chen H, Zhu P 2003 International Journal of Modern Physics B 17 4209
[25] Zhang X, Shen K 2001 Phys. Rev. E 63 046212
[26] Watanabe M, Aihara K, Kondo S 1996 Electron. Commun. Japan Part III 79 87
[27] Osana Y, Hagiwara M 1999 Internat. J. Neural Syst. 9 285
[28] Wang Z, Fan H, Aihara K 2007 Internat. J. Bifur. Chaos 17 3085
[29] Li Y, Zhu P, Xie X, He G, Aihara K 2012 Phys. Lett. A 376 412
[30] Sih G C, Tang K K 2012 Theoretical and Applied Fracture Mechanics 61 21
[31] Freeman W J, Viana Di Prisco G 1986 Brain Theory (Berlin: Springer-Verlag) p97
[32] Freeman W J 1987 Biological Cybernetics 56 139
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