Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms (Q864233)
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scientific article; zbMATH DE number 5125051
| Language | Label | Description | Also known as |
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| English | Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms |
scientific article; zbMATH DE number 5125051 |
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Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms (English)
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13 February 2007
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A system of two nonlinear reaction-diffusion equations, including distributed time delays and time-periodic forcing, is studied. The system is motivated as a model for an associative memory neural network. It is proved that, under appropriate conditions, the system has a unique periodic solution (with the same period as that of the forcing), which is globally exponentially stable.
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stability
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Lyapunov functional
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\(M\)-matrix
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time-periodic forcing
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