| 具有扩散项的环状神经网络同步态分岔与稳定性 |
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| 引用本文： | 王玲,王昆仑,赵洪涌. 具有扩散项的环状神经网络同步态分岔与稳定性[J]. 合肥学院学报(自然科学版), 2012, 22(1): 11-15 |
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| 作者姓名： | 王玲 王昆仑 赵洪涌 |
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| 作者单位： | 1. 南京航空航天大学理学院,南京,210016
2. 合肥学院计算机科学与技术系,合肥,230601 |
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| 基金项目： | 国家自然科学基金项目（61174155）资助. |
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| 摘 要： | 讨论了一类具有漏泄时滞的反应扩散环状神经网络的同步态Hopf分岔和稳定性问题.以连接权值β作为分岔参数,利用分岔和稳定性理论,给出了此类反应扩散系统同步态Hopf分岔和稳定性条件.同时,还给出了不含扩散项时系统发生Hopf分岔的条件.数值举例验证了理论分析的正确性.
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| 关 键 词： | 同步态Hopf分岔 同步态稳定性 反应扩散 漏泄时滞 环状神经网络 |
Synchronized Bifurcation and Stability Analysis of A Class of Reaction-diffusion Ring Neural Networks |
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| WANG Ling,WANG Kun-lun,ZHAO Hong-yong. Synchronized Bifurcation and Stability Analysis of A Class of Reaction-diffusion Ring Neural Networks[J]. Journal of Hefei University(Natural Sciences Edition), 2012, 22(1): 11-15 |
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| Authors: | WANG Ling WANG Kun-lun ZHAO Hong-yong |
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| Affiliation: | 1. School of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016; 2. Department of Computer Science and Technology, Hefei University, Hefei 230601, China) |
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| Abstract: | The paper deals with the synchronized Hopf bifurcation and stability of a class of reaction- diffusion ring neural networks with leakage time-lags. Determining fl as the bifurcation parameter, based on bifurcation and stability theory, give some criteria for synchronized Hopf bifurcation and stability of this system. Also give the conditions of Hopf bifurcation for the corresponding system without reaction-diffusion. Numerical simulations are given to validate the theoretical analysis. |
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| Keywords: | synchronized Hopf bifurcation synchronized stability reaction-diffusion leakage time- lags ring neural networks |
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