Hopf bifurcation in Cohen-Grossberg neural network with distributed delays

Zhao HY; Wang L

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Hopf bifurcation in Cohen-Grossberg neural network with distributed delays

机译：Cohen-Grossberg神经网络中具有分布时滞的Hopf分支

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In this paper, we discuss the stability and bifurcation of the distributed delays Cohen-Grossberg neural networks with two neurons. By choosing the average delay as a bifurcation parameter, we prove that Hopf bifurcation occurs. The stability of bifurcating periodic solutions and the direction of Hopf bifurcation are determined by applying the normal form theory and the center manifold theorem. Finally, numerical simulation results are given to support the theoretical predictions. (c) 2005 Elsevier Ltd. All rights reserved.

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《Nonlinear analysis. Real world applications》 |2007年第1期|共17页
作者
Zhao HY; Wang L;
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正文语种 eng
中图分类数学分析;
关键词
Cohen-Grossberg neural networks; distributed delay; average time delay; Hopf bifurcation; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS;

机译：Cohen-Grossberg神经网络;分布时延;平均时间时延;Hopf分叉;全局指数稳定性;周期解;

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专利

1. Hopf bifurcation in Cohen-Grossberg neural network with distributed delays [J] . Zhao HY, Wang L Nonlinear analysis. Real world applications . 2007,第1期

机译：Cohen-Grossberg神经网络中具有分布时滞的Hopf分支
2. Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays [J] . Qiming Liu, Sumin Yang Journal of applied mathematics . 2014,第Pta2期

机译：时滞的n-Neuron Cohen-Grossberg神经网络的稳定性和Hopf分叉
3. Stability and Hopf Bifurcation of ann-Neuron Cohen-Grossberg Neural Network with Time Delays [J] . QimingLiu, SuminYang Journal of applied mathematics . 2014,第1期

机译：时滞的Ann-Neuron Cohen-Grossberg神经网络的稳定性和Hopf分叉
4. Bifurcations in Discrete-Time Delayed Hopfield Neural Networks of Two Neurons [C] . Eva Kaslik, Stefan Balint International Conference on Artificial Neural Networks;ICANN 2008 . 2008

机译：离散时滞两个神经元的Hopfield神经网络中的分叉
5. An Analysis of Hopf Bifurcation Problems with Time-Delayed Feedback Control. [D] . Brown, Genevieve C. 2011

机译：带时滞反馈控制的Hopf分叉问题分析。
6. Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses [O] . Lijun Xu, Qi Jiang, Guodong Gu 2016

机译：具有分布时滞和脉冲的中立型Cohen-Grossberg分流抑制性细胞神经网络的概周期解的全局指数稳定性
7. Impulsive Disturbances on the Dynamical Behavior of Complex-Valued Cohen-Grossberg Neural Networks with Both Time-Varying Delays and Continuously Distributed Delays [O] . Xiaohui Xu, Jiye Zhang, Quan Xu, 2017

机译：具有时变延迟和连续分布延迟复合型科恩 - 格尔伯格神经网络动态行为的冲动障碍

Hopf bifurcation in Cohen-Grossberg neural network with distributed delays

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