Competitive and Cooperative Aspects in Dynamics of Neural Excitation and Self-Organization

The nervous system seems to process information in parallel through the competitive and cooperative interactions of neurons. Dynamical processes of competition and cooperation are formulated by the use of the dynamics of excitations in neuron networks. Dynamical behaviors of neuron pools and neural fields are analyzed from this point of view. It is shown that self-organization of neural systems can also be represented by a dynamics of competition and cooperation in an abstract field of a signal space. A field theory of self-organization is proposed and the behaviors of self-organizing nerve nets are analyzed from this unified point of view. The formation of topographic structures is elucidated by this method.

[1]  E M Harth,et al.  Dynamics of neural structures. , 1970, Journal of theoretical biology.

[2]  E M Harth,et al.  Brain functions and neural dynamics. , 1970, Journal of theoretical biology.

[3]  Shun-ichi Amari,et al.  Characteristics of randomly connected threshold-element networks and network systems , 1971 .

[4]  S. Amari,et al.  Characteristics of Random Nets of Analog Neuron-Like Elements , 1972, IEEE Trans. Syst. Man Cybern..

[5]  J. Cowan,et al.  Excitatory and inhibitory interactions in localized populations of model neurons. , 1972, Biophysical journal.

[6]  Fanya S. Montalvo,et al.  Consensus versus Competition in Neural Networks: A Comparative Analysis of Three Models , 1975, Int. J. Man Mach. Stud..

[7]  D Marr,et al.  Cooperative computation of stereo disparity. , 1976, Science.

[8]  S. Amari,et al.  A Mathematical Foundation for Statistical Neurodynamics , 1977 .

[9]  Roman Bek,et al.  Discourse on one way in which a quantum-mechanics language on the classical logical base can be built up , 1978, Kybernetika.

[10]  S. Geman.  SOME AVERAGING AND STABILITY RESULTS FOR RANDOM DIFFERENTIAL EQUATIONS , 1979 .

[11]  D J Willshaw,et al.  A marker induction mechanism for the establishment of ordered neural mappings: its application to the retinotectal problem. , 1979, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[12]  S. Amari,et al.  Existence and stability of local excitations in homogeneous neural fields , 1979, Journal of mathematical biology.

[13]  Shun-Ichi Amari,et al.  Topographic organization of nerve fields , 1979, Neuroscience Letters.

[14]  J. Cowan,et al.  Secondary Bifurcation in Neuronal Nets , 1980 .

[15]  N. Sugie,et al.  Self-Organization of Neural Nets with Competitive and Cooperative Interaction , 1982 .

[16]  G. Ermentrout.  Asymptotic Behavior of Stationary Homogeneous Neuronal Nets , 1982 .

[17]  M. Arbib,et al.  Systems Matching and Topographic Maps: The Branch-Arrow Model (BAM) , 1982 .

[18]  S. Geman.  Almost Sure Stable Oscillations in a Large System of Randomly Coupled Equations , 1982 .

[19]  Teuvo Kohonen,et al.  A Simple Paradigm for the Self-Organized Formation of Structured Feature Maps , 1982 .

[20]  Kunihiko Fukushima,et al.  Neocognitron: A Self-Organizing Neural Network Model for a Mechanism of Visual Pattern Recognition , 1982 .

[21]  S. Amari,et al.  Competition and Cooperation in Neural Nets , 1982 .

[22]  S. Grossberg.  Associative and Competitive Principles of Learning and Development , 1982 .