Biological Cybernetics

, Volume 17, Issue 4, pp 211–220

Homogeneous nets of neuron-like elements


  • Shun-Ichi Amari
    • University of Tokyo
    • Faculty of EngineeringUniversity of Tokyo

DOI: 10.1007/BF00339367

Cite this article as:
Amari, S. Biol. Cybernetics (1975) 17: 211. doi:10.1007/BF00339367


Propagation and reverberation of excitation patterns are investigated for 1-dimensional and 2-dimensional homogeneous nets of neuron-like elements. A 1-dimensional net has a proper set of excitation patterns which only can be conducted in the net. Such a net has an ability of discriminating and shaping stimulus signals. Two types of self-reproducing reverberatory excitation patterns are shown for 2-dimensional homogeneous nets. An algebraic theory of general homogeneous nets is also developed.

Copyright information

© Springer-Verlag 1975