The bulletin of mathematical biophysics

, Volume 10, Issue 4, pp 221–226 | Cite as

Steady states in random nets: II

  • Anatol Rapoport


Two semi-infinite chains are considered interacting as random nets. Conditions for steady state are derived for the cases of cross-excitatory and cross-inhibitory association connections. In the cross-inhibitory case a unique non-trivial self-reproducing steady state is shown to exist.


Steady State Input Function Biophysics Volume Symmetric Case Ential Equation 
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  1. Rapoport, A. 1948. “Cycle Distributions in Random Nets.”Bull. Math. Biophysics,10, 145–157.Google Scholar
  2. Rapoport, A. and Shimbel, A. 1948. “Steady States in Random Nets: I”.Bull. Math. Biophysics,10, 211.MathSciNetGoogle Scholar
  3. Shimbel, A. and Rapoport, A. 1948. “A Statistical Approach to the Theory of the Central Nervous System”.Bull. Math. Biophysics,10, 41–55.MathSciNetGoogle Scholar
  4. Shimbel, A. 1948. “An Analysis of Theoretical Systems of Differentiating Nervous Tissue.”Bull. Math. Biophysics,10, 131–143.Google Scholar

Copyright information

© The University of Chicago Press 1948

Authors and Affiliations

  • Anatol Rapoport
    • 1
  1. 1.The University of ChicagoChicagoUSA

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