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We used a threshold controlling method to control chaos of chaotic neuron and constructed a threshold coupled chaotic neuronal map. The synchronization of the threshold coupled chaotic neuronal map was investigated. Simulation results show that the value of threshold determines the temporal period of outputs of the threshold coupled chaotic neuronal map. The spatial behavior of outputs of the threshold coupled chaotic neuronal map is determined by a relaxation time. A cluster character exists in the threshold coupled chaotic neuronal map. The synchronization of outputs of the threshold coupled chaotic neuronal map is achieved if the relaxation time is big enough.
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Keywords:
- synchronization /
- chaotic neuron /
- threshold couple
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[9] Adachi M,Aihara K 1997 Neural Networks 10 83
[10] He G,Cao Z,Chen H,Zhu P 2003 Int. J. Modern Physics B 17 4209
[11] He G,Cao Z,Zhu P,Ogura H 2003 Neural Networks 16 1195
[12] He G G,Zhu P,Chen H P,Cao Z T 2006 Acta Phys. Sin. 55 1040 (in Chinese) [何国光、朱 萍、陈宏平、曹志彤 2006 物理学报 55 1040]
[13] He G,Shrimali M D,Aihara K 2007 Phys. Lett. A 371 228
[14] He G,Chen L,Aihara K 2008 Neurocomputing 71 2794
[15] He G,Shrimali M D,Aihara K 2008 Neural Networks 21 114
[16] Chen L,Aihara K 1999 IEEE Trans. Circuits and Systems Ⅰ 46 974
[17] Fang X L,Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲、姜宗来 2007 物理学报 56 7330]
[18] Zheng H Y,Luo X S,Wu L 2008 Acta Phys. Sin. 57 3380 (in Chinese) [郑鸿宇、罗晓曙、吴 雷 2008 物理学报 57 3380]
[19] Gray C M,Knig P,Engel A K,Singer W 1989 Nature 338 334
[20] Steriade M,McCormick D A,Sejnowski T J 1993 Science 262 679
[21] Shuai J,Durand D M 1999 Phys. Lett. A 264 289
[22] Wang Q Y,Lu Q S,Chen G R,Guo D H 2006 Phys. Lett. A 356 17
[23] Jalili M 2009 Chaos 19 033103
[24] Cui B T,Gao M 2009 Chin. Phys. B 18 76
[25] Jing X D,Lü L 2009 Acta Phys. Sin. 58 7539 (in Chinese) [敬晓丹、吕 翎 2009 物理学报 58 7539]
[26] Wu S H,Xu H B,Hao J H 2010 Chin. Phys. B 19 020509-1
[27] Sinha S,Biswas D 1993 Phys. Rev. Lett. 71 2010
[28] Modnal A,Sinha S 2006 Phys. Rev. E 73 06215
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[1] Aihara K,Matsumoto G, Holden A V (Ed.)1986 Chaos (Princeton:Princeton University Press) 257
[2] Degn H, Holden A V, Olsen L F(Eds.)1987 Chaos in biological systems (New York:Plenum)
[3] Freeman W J 1987 Biological Cybernetics 56 139
[4] Aihara K,Takabe T,Toyoda M 1990 Phys. Lett. A 144 333
[5] Tsuda I 1992 Neural Networks 5 313
[6] Nara S,Davis P 1997 Phys. Rev. E 55 826
[7] Hodgkin A L,Huxley A F 1952 J. Physiol. 117 500
[8] Nagumo J,Sato S 1972 Kybernetik 10 155
[9] Adachi M,Aihara K 1997 Neural Networks 10 83
[10] He G,Cao Z,Chen H,Zhu P 2003 Int. J. Modern Physics B 17 4209
[11] He G,Cao Z,Zhu P,Ogura H 2003 Neural Networks 16 1195
[12] He G G,Zhu P,Chen H P,Cao Z T 2006 Acta Phys. Sin. 55 1040 (in Chinese) [何国光、朱 萍、陈宏平、曹志彤 2006 物理学报 55 1040]
[13] He G,Shrimali M D,Aihara K 2007 Phys. Lett. A 371 228
[14] He G,Chen L,Aihara K 2008 Neurocomputing 71 2794
[15] He G,Shrimali M D,Aihara K 2008 Neural Networks 21 114
[16] Chen L,Aihara K 1999 IEEE Trans. Circuits and Systems Ⅰ 46 974
[17] Fang X L,Jiang Z L 2007 Acta Phys. Sin. 56 7330 (in Chinese) [方小玲、姜宗来 2007 物理学报 56 7330]
[18] Zheng H Y,Luo X S,Wu L 2008 Acta Phys. Sin. 57 3380 (in Chinese) [郑鸿宇、罗晓曙、吴 雷 2008 物理学报 57 3380]
[19] Gray C M,Knig P,Engel A K,Singer W 1989 Nature 338 334
[20] Steriade M,McCormick D A,Sejnowski T J 1993 Science 262 679
[21] Shuai J,Durand D M 1999 Phys. Lett. A 264 289
[22] Wang Q Y,Lu Q S,Chen G R,Guo D H 2006 Phys. Lett. A 356 17
[23] Jalili M 2009 Chaos 19 033103
[24] Cui B T,Gao M 2009 Chin. Phys. B 18 76
[25] Jing X D,Lü L 2009 Acta Phys. Sin. 58 7539 (in Chinese) [敬晓丹、吕 翎 2009 物理学报 58 7539]
[26] Wu S H,Xu H B,Hao J H 2010 Chin. Phys. B 19 020509-1
[27] Sinha S,Biswas D 1993 Phys. Rev. Lett. 71 2010
[28] Modnal A,Sinha S 2006 Phys. Rev. E 73 06215
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