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Preface | ||
1 | The structure of neural networks | 1 |
1.1 | The structure of a single neuron | 1 |
1.2 | Transmission of neural signals | 2 |
1.3 | Neural circuits, CNS and ANN | 7 |
2 | Dynamic models of networks | 9 |
2.1 | Biological models | 9 |
2.2 | Signal functions | 14 |
2.3 | General models and network architectures | 16 |
3 | Simple network | 24 |
3.1 | Outstars: pattern learning | 24 |
3.2 | Instars: pattern recognition | 30 |
3.3 | Lateral inhibition: noise-saturation dilemma | 34 |
3.4 | Recurrent ON-CTR OFF-SUR networks: signal enhancement and noise suppression | 36 |
3.5 | Determining synaptic weights | 50 |
App | Grossberg's Learning Theorem | 57 |
4 | Content-addressable memory storage | 61 |
4.1 | Parallel memory storage by competitive networks | 62 |
4.2 | Convergence in networks with a nonsymmetric interconnection matrix | 70 |
4.3 | Implementation of CAM: Hopfield networks | 75 |
4.4 | Generic convergence in monotone networks | 79 |
5 | Signal transmission delays | 88 |
5.1 | Neural networks with delay and basic theory | 90 |
5.2 | Global stability analysis | 95 |
5.3 | Delay-induced instability | 99 |
5.4 | Hopf bifurcation of periodic solutions | 105 |
5.5 | A network of two neurons: McCulloch-Pitts nonlinearity | 115 |
5.6 | Delay-induced transient oscillations | 138 |
5.7 | Effect of delay on the basin of attraction | 146 |
5.8 | Synchronized activities | 154 |
5.9 | Desynchronization, phase-locked oscillation and connecting orbits | 165 |
Bibliography | 171 | |
Index | 179 |
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