一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步

彭軍; 廖曉峰; 吳中福

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一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步

彭軍, 廖曉峰, 吳中福

文章導(dǎo)航 > 電子與信息學(xué)報(bào) > 2003 > 25(1): 123-127

彭軍, 廖曉峰, 吳中福. 一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步[J]. 電子與信息學(xué)報(bào), 2003, 25(1): 123-127.

引用本文:

彭軍, 廖曉峰, 吳中福. 一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步[J]. 電子與信息學(xué)報(bào), 2003, 25(1): 123-127.

Peng Jun, Liao Xiaofeng, Wu Zhongfu. Chaotic synchronization of a coupled delayed neuron system[J]. Journal of Electronics & Information Technology, 2003, 25(1): 123-127.

Citation:

Peng Jun, Liao Xiaofeng, Wu Zhongfu. Chaotic synchronization of a coupled delayed neuron system[J]. Journal of Electronics & Information Technology, 2003, 25(1): 123-127.

彭軍, 廖曉峰, 吳中福. 一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步[J]. 電子與信息學(xué)報(bào), 2003, 25(1): 123-127.

引用本文:

彭軍, 廖曉峰, 吳中福. 一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步[J]. 電子與信息學(xué)報(bào), 2003, 25(1): 123-127.

Peng Jun, Liao Xiaofeng, Wu Zhongfu. Chaotic synchronization of a coupled delayed neuron system[J]. Journal of Electronics & Information Technology, 2003, 25(1): 123-127.

Citation:

Peng Jun, Liao Xiaofeng, Wu Zhongfu. Chaotic synchronization of a coupled delayed neuron system[J]. Journal of Electronics & Information Technology, 2003, 25(1): 123-127.

一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步

彭軍^{①②;廖曉峰},
廖曉峰,
吳中福

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出版歷程
- 收稿日期: 2001-06-27
- 修回日期: 2001-11-29
- 刊出日期: 2003-01-19

Chaotic synchronization of a coupled delayed neuron system

Peng Jun^{①②;廖曉峰},
Liao Xiaofeng,
Wu Zhongfu

摘要

摘要: 該文研究了一個(gè)延時(shí)混沌神經(jīng)元系統(tǒng)的耦合同步問(wèn)題.基于Krasovskii-Lyapunov理論,討論了同步的漸近穩(wěn)定性,并給出了系統(tǒng)同步的一個(gè)充分條件,計(jì)算機(jī)數(shù)值仿真結(jié)果表明,文中討論的系統(tǒng)具有良好的同步效果和魯棒性。
- 混沌; 延時(shí)神經(jīng)元; 同步; 漸近穩(wěn)定性
Abstract: In this paper, the synchronization of a coupled delayed neuron chaotic system is investigated. The asymptotic stability of the synchronization is discussed based on the Krasovskii-Lyapunov theory, and a sufficient condition of synchronization is obtained. The results of computer simulation show that the proposed synchronization system is an effective one, which is robust when Gaussian noise added.

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參考文獻(xiàn)(1)

L.M. Pecora, T. L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett., 1990, 64(8),821-824.[2]L.M. Pecora, T. L. Carroll, Driving systems with chaotic signals, Phys. Rev. A, 1991, 44(4),2374-2383.[3]G. Perez, H. A. Cerdeira, Extracting messages masked by chaos, Phys. Rev. Lett., 1995, 74(11),1970-1973.[4]B. Mensour, A. Longtin, Synchronization of delay-differential equations with application to private communication, Phys. Lett. A, 1998, 244(1), 59 70.[5]Yu-chu Tian, Furong Gao, Adaptive control of chaotic continuous-time systems with delay, Physica D, 1998, 117(1), 1-12.[6]Seunghwan Kim, Seon Hee Park, C. S. Ryu, Multistability in coupled oscillator systems with time delay, Phys. Rev. Lett., 1997, 79(15), 2911-2914.[7]Xiaofeng Liao, Kwok-Wo Wong, Chi-Sing Leung, Zhongfu Wu, Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function, Chaos, Solitons and Fractals, 2001, 12(8), 1535-1547.[8]K. Pyragas, Synchronization of coupled time-delay systems: Analytical estimations, Phys. Rev.E, 1998, 58(3), 3067-3071.[9]廖曉昕,穩(wěn)定性的理論,方法和應(yīng)用,武漢,華中理工大學(xué)出版社,1999,72-81.

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