Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay
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We consider the nonlinear dynamical behavior of a three-dimensional recurrent neural network with time delay. By choosing the time delay as a bifurcation parameter, we prove that Hopf bifurcation occurs when the delay passes through a sequence of critical values. Applying the nor- mal form method and center manifold theory, we obtain some local bifurcation results and derive formulas for determining the bifurcation direction and the stability of the bifurcated periodic solution. Some numerical examples are also presented to verify the theoretical analysis.
2002 ◽
Vol 14
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pp. 557-564
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2014 ◽
Vol 2014
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pp. 1-14
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2019 ◽
Vol 29
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pp. 1950189
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1997 ◽
Vol 119
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pp. 158-165
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2011 ◽
Vol 142
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pp. 107-110
2018 ◽
Vol 28
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pp. 1850139
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