Abstract
In this paper we consider some classical control theoretic properties of a nonlinear neural network proposed by Oğuztöreli (1979) to represent the activities of constiuent neurones in terms of the input signals and coupling (associative) properties. By breaking the network into linear and nonlinear components we have been able to localize the nonlinearities in the individual neural response latencies through the system.
Similar content being viewed by others
References
Hopfield J (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Natl Acad Sci USA 79:2554–2558
Kohonen T (1977) Associative memory — a system-theoretic approach. Springer, New York, Berlin, Heidelberg
Ogata K (1970) Modern control engineering. Prentice-Hall, Englewood Cliffs, NJ
Oğuztöreli MN (1979) Activity analysis of neural networks. Biol Cybern 34:159–169
Oğuztöreli MN (1980) Modelling and simulation of vertebrate retina. Biol Cybern 37:53–61
Oğuztöreli MN (1982) Response analysis of vertebrate retina. Biol Cybern 44:1–8
Oğuztöreli MN (1983) Modelling and simulation of vertebrate primary visual system: basic network. IEEE Trans Syst Man Cybern SMC-13, 5:764–781
Oğuztöreli MN (1984) Some problems concerning nonlinear oscillators in neural networks. In: Lakshmikantham V (ed) Trends in theory and practice of nonlinear differential equations. Marcell Dekker, New York, Basel, pp 425–433
Oğuztöreli MN, Caelli TM (1986a) The relationship between signal response selectivity and the functional structure of complex retinal neural networks. Biol Cybern (in press)
Oğuztöreli MN, Caelli TM (1986b) An inverse problem in neural processing. Biol Cybern (in press)
Oğuztöreli MN, O'Mara KS (1980) Modelling and simulation of vertebrate retina: extended network. Biol Cybern 38:9–17
Oğuztöreli MN, Caelli TM, Steil G (1985) Information processing in vertebrate retina. In: Lakshmikantham V (ed) Trends in the theory and practice of nonlinear analysis. North-Holland, Amsterdam, pp 345–356
Author information
Authors and Affiliations
Additional information
This work was partially supported by the Natural Sciences and Engineering Research Council of Canada by Grant NSERC-A 4345 to M.N.O. and Grant NSERC-A 2568 to T.M.C. through the University of Alberta
Rights and permissions
About this article
Cite this article
Oğuztöreli, M.N., Steil, G.M. & Caelli, T.M. Control mechanisms of a neural network. Biol. Cybern. 54, 21–28 (1986). https://doi.org/10.1007/BF00337112
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00337112