A field theory of neural nets: II. Properties of the field equations
- J. S. Griffith
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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.
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- Griffith, J. S. 1963a. “A Field Theory of Neural Nets: I. Derivation of Field Equations.”Bull. Math. Biophysics,25, 111–120. CrossRef
- — 1963b. “On the Stability of Brain-like Structures.”Biophysics Jour.,3, 299. CrossRef
- Leimanis, E., and N. Minorsky. 1958.Dynamics and Nonlinear Mechanics, pp. 111–193. New York: John Wiley and Sons, Inc.
- Sholl, D. A. 1956.The Organisation of the Cerebral Cortex. London: Methuen and Co. Ltd.
- A field theory of neural nets: II. Properties of the field equations
The Bulletin of Mathematical Biophysics
Volume 27, Issue 2 , pp 187-195
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- J. S. Griffith (1)
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- 1. Department of Mathematics, Manchester College of Science and Technology, Manchester 1, England