Pattern recognition, chaos, and multiplicity in neural networks of excitable systems.
- 4 January 1994
- journal article
- research article
- Published by Proceedings of the National Academy of Sciences in Proceedings of the National Academy of Sciences
- Vol. 91 (1) , 63-67
- https://doi.org/10.1073/pnas.91.1.63
Abstract
We study a neural network composed of excitable FitzHugh neurons that interact by diffusive type connections. Patterns of neural activity may be stored by a Hebbian rule. The stored patterns are recalled and given by the transient activity of the neurons after the network has been perturbed by related patterns and relaxes back to its steady state. Periodic perturbations of the network are repeated requests for computations and result in simple periodic, complex periodic, and chaotic responses and corresponding computational performances.Keywords
This publication has 13 references indexed in Scilit:
- Chemical implementation and thermodynamics of collective neural networks.Proceedings of the National Academy of Sciences, 1992
- Chemical implementation of finite-state machines.Proceedings of the National Academy of Sciences, 1992
- Cooperative dynamics in visual processingPhysical Review A, 1991
- Global processing of visual stimuli in a neural network of coupled oscillators.Proceedings of the National Academy of Sciences, 1990
- Computing with Neural Circuits: A ModelScience, 1986
- Neurons with graded response have collective computational properties like those of two-state neurons.Proceedings of the National Academy of Sciences, 1984
- Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 1982
- Threshold Excitations, Relaxation Oscillations, and Effect of Noise in an Enzyme ReactionProceedings of the National Academy of Sciences, 1974
- Thresholds and Plateaus in the Hodgkin-Huxley Nerve EquationsThe Journal of general physiology, 1960
- A quantitative description of membrane current and its application to conduction and excitation in nerveThe Journal of Physiology, 1952