Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays.
Yan, Xiang-Ping, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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Displaying similar documents to “Bifurcation analysis for a two-dimensional discrete-time Hopfield neural network with delays.”
Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays.
Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays.
Liu, Qiming, Xu, Rui, Wang, Zhiping (2011)
Discrete Dynamics in Nature and Society
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Global existence of periodic solutions in a simplified four-neuron BAM neural network model with multiple delays.
Yan, Xiang-Ping, Li, Wan-Tong (2006)
Discrete Dynamics in Nature and Society
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Hopf bifurcation analysis for the van der Pol equation with discrete and distributed delays.
Zhou, Xiaobing, Jiang, Murong, Cai, Xiaomei (2011)
Discrete Dynamics in Nature and Society
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Global bifurcations in a dynamical model of recurrent neural networks
Anita Windisch, Péter L. Simon (2023)
Applications of Mathematics
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The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several identical excitatory neurons and a single inhibitory one. This special construction enables us to reduce the dimension of the system and then fully characterize the local and global codimension-one bifurcations. It is shown that besides saddle-node and Andronov-Hopf bifurcations, homoclinic and cycle fold bifurcations may occur. These bifurcation...
On global exponential stability of discrete-time Hopfield neural networks with variable delays.
Zhang, Qiang, Wei, Xiaopeng, Xu, Jin (2007)
Discrete Dynamics in Nature and Society
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Almost-periodic solution for BAM neural networks.
Jalab, H.A., Ibrahim, R.W. (2009)
Surveys in Mathematics and its Applications
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Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons.
Duan, Chengjun, Song, Qiankun (2010)
Discrete Dynamics in Nature and Society
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On Popov-type stability criteria for neural networks.
Danciu, Daniela, Răsvan, Vladimir (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Delay-dependent asymptotic stability for neural networks with time-varying delays.
Liao, Xiaofeng, Yang, Xiaofan, Zhang, Wei (2006)
Discrete Dynamics in Nature and Society
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Stability analysis and absolute synchronization of a three-unit delayed neural network
Lin Jun Wang, You Xiang Xie, Zhou Chao Wei, Jian Peng (2015)
Kybernetika
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In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
Delay-dependent exponential stability for discrete-time BAM neural networks with time-varying delays.
Chen, Yonggang, Bi, Weiping, Wu, Yuanyuan (2008)
Discrete Dynamics in Nature and Society
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