| 非对称双环神经网络系统的稳定性和Hopf分岔 |
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| 引用本文： | 周帅,肖敏,邢蕊桃,张跃中,程尊水. 非对称双环神经网络系统的稳定性和Hopf分岔[J]. 南京气象学院学报, 2019, 11(4): 446-452 |
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| 作者姓名： | 周帅 肖敏 邢蕊桃 张跃中 程尊水 |
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| 作者单位： | 南京邮电大学 自动化学院 人工智能学院, 南京, 210003,南京邮电大学 自动化学院 人工智能学院, 南京, 210003,南京邮电大学 自动化学院 人工智能学院, 南京, 210003,南京邮电大学 自动化学院 人工智能学院, 南京, 210003,青岛科技大学 数理学院, 青岛, 266061 |
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| 基金项目： | 国家自然科学基金（61573194）；江苏省自然科学基金（BK20181389） |
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| 摘 要： | 环型结构在神经网络中普遍存在，目前对环型神经动力学分岔研究大多数局限于单环情形.值得注意的是，神经网络由成千上万个神经元耦合而成，这些复杂的神经元网络结构不可能只由一个环形结构来准确表述，因此研究具多环拓扑的神经网络模型更具实际意义.本文提出了一种非对称双环神经元网络模型，选择单环的时滞和为分岔参数，分析了双环模型的稳定性和Hopf分岔.最后给出数值仿真对结论进行了验证.
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| 关 键 词： | 神经元网络 Hopf分岔 离散时滞 环型网络 |
| 收稿时间： | 2019-06-28 |
Stability and Hopf bifurcation of asymmetric double-ring structured neural network |
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| ZHOU Shuai,XIAO Min,XING Ruitao,ZHANG Yuezhong and CHENG Zunshui. Stability and Hopf bifurcation of asymmetric double-ring structured neural network[J]. Journal of Nanjing Institute of Meteorology, 2019, 11(4): 446-452 |
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| Authors: | ZHOU Shuai XIAO Min XING Ruitao ZHANG Yuezhong CHENG Zunshui |
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| Affiliation: | College of Automation & Collgeg of Artifical Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210003,College of Automation & Collgeg of Artifical Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210003,College of Automation & Collgeg of Artifical Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210003,College of Automation & Collgeg of Artifical Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210003 and School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061 |
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| Abstract: | Ring structures are widely used in neural networks,and previous research with respect to neural dynamic bifurcation were confined to models with single-ring structure.Notably,neural networks are composed of thousands of neurons coupled together,and these structures are so complex that they cannot be accurately described through only a single-ring structure,and therefore is more practical for investigating neural network models with multiple ring topology.In this paper,an asymmetric model with double-ring neural structure is proposed,and the stability and Hopf bifurcation of the model are investigated.Numerical simulations are subsequently actualized to corroborate the theoretical results. |
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| Keywords: | neural network Hopf bifurcation discrete delay ring network |
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