Local stability and bifurcation in a three-unit delayed neural network. (Q1873635)
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scientific article; zbMATH DE number 1917028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local stability and bifurcation in a three-unit delayed neural network. |
scientific article; zbMATH DE number 1917028 |
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Local stability and bifurcation in a three-unit delayed neural network. (English)
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2003
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The authors study a three-unit network of neural cells with delayed coupling \[ \dot x_i(t)=-x_i(t)+\sum_{j=1}^3 a_{ij}\beta \tanh(x_j(t-\tau)), \quad i=1,2,3. \] They derive a general formula for the bifurcation direction (criticality) of the Hopf bifurcation and an asymptotic estimate on the period of the emanating periodic solution.
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Hopf bifurcation condition
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delayed neural network
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bifurcation direction
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