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Original Article

Analysis of the equilibrium properties of a continuous neural network made of excitatory and inhibitory neurons

Pages 303-321 | Received 16 Sep 1991, Published online: 09 Jul 2009

References

  • Amari S. Neural theory of association and concept-formation. Biol. Cybern. 1977; 26: 175–85
  • Amari S. Field theory of self-organizing neural nets. IEEE Trans. Syst. Man Cybern. 1983; 13: 741–8, SMC-13
  • Amari S. Dynamical stability of formation of cortical maps. Dynamic Interactions in Neural Networks: Models and Data, M A Arbib, S Amari. Springer, Berlin 1989; 15–34
  • Amari S. Formation of cortical cognitive map by self-organization. Computational Neuroscience, E L Schwartz. MIT Press ch, Cambridge, MA 1990; 21, ch 21
  • Beurle R L. Properties of a mass of cells capable of regenerating pulses. Phil. Trans. R. Soc. 1956; B 240: 55–94
  • Caianiello E R. Outline of a theory of thought processes and thinking machines. J. Theor. Biol. 1961; 1: 204–35
  • Cohen M, Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 1983; 13: 815–26, SMC-13
  • Geman S. Some averaging and stability results for random differential equations. SIAM J. Appl. Math. 1979; 36: 86–105
  • Grajski K A, Merzenich M M. Hebb-type dynamics is sufficient to account for the inverse magnification rule in cortical somatotopy. Neural Comput. 1990; 2: 71–84
  • Hebb D O. The Organization of Behavior. Wiley, New York 1949
  • Jenkins W M, Merzenich M M, Ochs M T, Allard T, Guíc-Robles E. Functional reorganization of primary somatosensory cortex in adult owl monkeys after behaviorally controlled tactile stimulation. J. Neurophys. 1990; 63: 82–104
  • Kaas J. The organization of neocortex in mammals: implications for theories of brain function. Ann. Rev. Psychol. 1987; 38: 129–51
  • Pearson J C, Finkel L H, Edelman G M. Plasticity in the organization of adult cerebral cortical maps: a computer simulation based on neuronal group selection. J. Neurosci. 1987; 7: 4209–23
  • Shepherd G M. Neurobiology2nd edn. Oxford University Press, Oxford 1988
  • Sur M, Merzenich M M, Kaas J H. Magnification, receptive-field area and hypercolumn size in owl monkeys. J. Neurophys. 1980; 44: 295–311
  • Wilson H R, Cowan J D. Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J. 1972; 12: 1–24
  • Wilson H R, Cowan J D. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 1973; 13: 55–80
  • Zhang J. Dynamics and formation of self-organizing maps. Neural Comput. 1991; 3: 54–66

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