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新疆大学数学与系统科学学院
Published:2011
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[1]曹建智,蒋海军.二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J].新疆大学学报(自然科学版),2011,28(03):289-298.
曹建智, 蒋海军. 二元时滞BAM-型Cohen-Grossberg神经网络的稳定性及Hopf分支分析(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(3): 289-298.
考虑了一个二元离散和分布时滞的BAM-型Cohen-Grossberg神经网络
其中分布时滞的核函数分别为Direc函数和强核函数
研究了它的局部稳定性和Hopf分支
最后通过一个数值例子来证明结论的正确性.
In this paper
a two-neuron bidirectional associative memory(BAM)-type Cohen-Grossberg neural network with discrete and distributed delays is considered
where kernel is chosen as Dirac delta function and strong kernel
respectively.Its dynamics are studied in terms of local stability analysis and Hopf bifurcation analysis.In order to illustrate our theoretical analysis
some numerical simulations are included in the end.
Li X,Wei J.On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays[J].Chaos Solitons Fractals,2005,26:519-526.
Zhao H,Wang L.Hopf bifurcation in Cohen-Grossberg neural network with distributed delays[J].Nonlinear Anal:RWA,2007,8:73-89.
Song Y,Han M,Wei J.Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays[J].Physica D,2005,200:185-204.
Jiang H,Cao J.BAM-type Cohen-Grossberg neural networks with time delays[J].Math Comput Modelling,2008,47:92-103.
Zhou X,Wu Y,Li Y,Yao X.Stability and Hopf bifurcation analysis on a two-neuron network with discrete and distributed delays[J].Chaos Solitons Fractals,2009,40:1493-1505.
Xiang H,Wang J,Cao J.Almost periodic solution to Cohen-Grossberg-type BAM networks with distributed delays[J].Neurocomputing,2009 72:3751-3759.
Xiang H,Cao J.Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays[J].Neurocom-puting,2009,72:1702-1711.
Li X.Exponential stability of Cohen-Grossberg-type BAM networks with time-varying delays via impulsive control[J].Neurocomputing,2009,73:525-530.
Zhang Z,Zhou D.Global robust exponential stability for second-order Cohen-Grossberg neural networks with multiple delays[J].Neurocom-puting,2009,73:213-218.
Yang F,Zhang C,Wu D.Global stability analysis of impulsive BAM-type Cohen-Grossberg neural networks with delays[J].Appl Math Comput,2007,186:932-940.
Bai C.Stability analysis of Cohen-Grossberg-type BAM networks with delays and impulses[J].Chaos Solitons Fractals,2008,35:263-267.
Cao J.Song Q,Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays[J].Nonlinearity 2006,19:1601-1617.
Zhu H,Huang L.Stability and bifurcation ia a tri-neuron networks model with discrete and distributed delays[J].Appl Math Comput,2007,188:1742-1756.
Wang B,Jian J.Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with distributed delays[J].Commum Nonlinear Sci Numer Simulat,2010,15:189-204.
Feng C,Plamondon R.Stability analysis of bidirectional associative memory networks with time delays[J].IEEE Trans Neural Networks,2003,14:1560-1565.
Kuang Y.Delay differential equations with applications in population dynamics[M].New York:Academic Press;1993.
Ruan S,Wei J.On the zeros of transcendental functions with applications to stability of delay differential equations with two delays[J].Dyn Contin Discrete Impuls Syst Ser A Math Anal,2003,10:863-874.
Song Y,Han M,Peng Y.Stability and Hopf bifurcations in a competitive Lotka-Volterra system with two delays[J].Chaos Solitons Fractals,2004,22:1139-1148.
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