A field theory of neural nets. II. Properties of the field equations.

The field equation derived in Part I (Griffith,Bull. Math. Biophysics,25, 111–120, 1963a) is examined further. The stability of critical solutions is investigated and it is shown that, at least in certain cases, general solutions tend toward critical solutions. The relationship between the present field theory and a conventional matrix formulation is derived.

[1]  R. L. Beurle.  Properties of a mass of cells capable of regenerating pulses , 1956, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[2]  J. Griffith.  On the stability of brain-like structures. , 1963, Biophysical journal.

[3]  J. Griffith.  A field theory of neural nets: I. Derivation of field equations. , 1963, The Bulletin of mathematical biophysics.