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Introduction to neural dynamics and signal transmission delay / Jianhong Wu.

By: Material type: TextTextSeries: De Gruyter series in nonlinear analysis and applicationsPublication details: Berlin ; New York : Walter de Gruyter, 2001.Description: 1 online resource (x, 182 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110879971
  • 3110879972
Subject(s): Genre/Form: Additional physical formats: Print version:: Introduction to neural dynamics and signal transmission delay.DDC classification:
  • 573.8/5 21
LOC classification:
  • QP363.3 .W8 2001eb
NLM classification:
  • 2001 G-962
  • WL 20
Other classification:
  • SK 950
Online resources:
Contents:
Preface -- 1 The structure of neural networks -- 1.1 The structure of a single neuron -- 1.2 Transmission of neural signals -- 1.3 Neural circuits, CNS and ANN -- 2 Dynamic models of networks -- 2.1 Biological models -- 2.2 Signal functions -- 2.3 General models and network architectures -- 3 Simple networks -- 3.1 Outstars: pattern learning -- 3.2 Instars: pattern recognition -- 3.3 Lateral inhibition: noise-saturation dilemma -- 3.4 Recurrent ON-CTR OFF-SUR networks: signal enhancement and noise suppression -- 3.5 Determining synaptic weights
Appendix. Grossberg�s Learning Theorem4 Content-addressable memory storage -- 4.1 Parallel memory storage by competitive networks -- 4.2 Convergence in networks with a nonsymmetric interconnection matrix -- 4.3 Implementation of CAM: Hopfield networks -- 4.4 Generic convergence in monotone networks -- 5 Signal transmission delays -- 5.1 Neural networks with delay and basic theory -- 5.2 Global stability analysis -- 5.3 Delay-induced instability -- 5.4 Hopf bifurcation of periodic solutions -- 5.5 A network of two neurons: McCulloch-Pitts nonlinearity
5.6 Delay-induced transient oscillations5.7 Effect of delay on the basin of attraction -- 5.8 Synchronized activities -- 5.9 Desynchronization, phase-locked oscillation and connecting orbits -- Bibliography -- Index
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Includes bibliographical references (pages 171-178) and index.

Preface -- 1 The structure of neural networks -- 1.1 The structure of a single neuron -- 1.2 Transmission of neural signals -- 1.3 Neural circuits, CNS and ANN -- 2 Dynamic models of networks -- 2.1 Biological models -- 2.2 Signal functions -- 2.3 General models and network architectures -- 3 Simple networks -- 3.1 Outstars: pattern learning -- 3.2 Instars: pattern recognition -- 3.3 Lateral inhibition: noise-saturation dilemma -- 3.4 Recurrent ON-CTR OFF-SUR networks: signal enhancement and noise suppression -- 3.5 Determining synaptic weights

Appendix. Grossberg�s Learning Theorem4 Content-addressable memory storage -- 4.1 Parallel memory storage by competitive networks -- 4.2 Convergence in networks with a nonsymmetric interconnection matrix -- 4.3 Implementation of CAM: Hopfield networks -- 4.4 Generic convergence in monotone networks -- 5 Signal transmission delays -- 5.1 Neural networks with delay and basic theory -- 5.2 Global stability analysis -- 5.3 Delay-induced instability -- 5.4 Hopf bifurcation of periodic solutions -- 5.5 A network of two neurons: McCulloch-Pitts nonlinearity

5.6 Delay-induced transient oscillations5.7 Effect of delay on the basin of attraction -- 5.8 Synchronized activities -- 5.9 Desynchronization, phase-locked oscillation and connecting orbits -- Bibliography -- Index

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