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Original Article

Local instability and oscillations of trajectories in a diluted symmetric neural network

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Pages 563-576 | Received 07 Jan 1998, Published online: 09 Jul 2009

References

  • Bozhilova-Pastirova A, Ovtscharov W. Structure of the synaptic junctions in the rat sensorimotor cortex freeze-fracturing study of axodendritic synapses. Eur. J. Morphol. 1996; 34: 5
  • Jakab R L, Goldman-Rakie P. Presynaptic and postsynaptic subcellular localization of substance P receptor in the neostratum of the rat and rhesus monkey. J.Compar.Neurol. 1996; 369: 125
  • Elder J, Zucker S W. Contour closure and the perception of shape. Vision Res. 1993; 33: 981
  • Amit D. Modeling Brain Function. Cambridge University Press, Cambridge 1989
  • Usher M, Schuster H G, Niebur E. Dynamics of populations of integrate and fire neurons, partial synchronization and memory. Neural Comput. 1993; 5: 570
  • Derrida B, Gardner E, Zippelius A. An exactly solvable asymmetric neural network model. Europhys. Lett. 1987; 4: 167
  • Patrick A, Zagrebnov V A. Parallel dynamics for an extremely diluted neural network. J. Phys. A: Math. Gen. 1990; 23: L1323
  • Derrida B, Meir R. Chaotic behaviour of a layered neural network. Phys. Rev. A 1988; 44: 3116
  • Kree R, Zippelius A. Asymmetrically diluted neural networks. Models of Neural Networks, E Domany, et al. Springer, Berlin 1991; 193
  • Derrida B. Distribution of the activities in a diluted neural network. J. Phys. A: Math. Gen. 1989; 22: 2069
  • Bollé D, Shim G M, Vinck B, Zagrebnov V A. Retrieval and chaos in extremely diluted Q-Ising neural networks. J. Stat. Phys. 1994; 74: 565
  • Amari S, Maginu K. Statistical neurodynamics of associative memory. Neural Networks 1988; 1: 63
  • Henkel R D, Opper M. Distribution of internal fields and dynamics of neural networks. Europhys. Lett. 1990; 11: 403
  • Gardner E, Derrida B, Mottishaw P. Zero temperature parallel dynamics for infinite range spin glasses and neural networks. J. Physique 1987; 48: 741
  • Watkin T L H, Sherrington D. The parallel dynamics of a dilute symmetric Hebb-rule network. J. Phys. A: Math. Gen. 1991; 24: 5427
  • Patrick A, Zagrebnov V A. Parallel dynamics for an extremely diluted neural network. J. Phys. A: Math. Gen. 1992; 25: 1009
  • Patrick A, Zagrebnov V A. A probabilistic approach to parallel dynamics for the Little-Hopfield model. J. Phys. A: Math. Gen. 1991; 24: 3413

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