A discrete dynamics model for synchronization of pulse-coupled oscillators

Biological information processing systems employ a variety of feature types. It has been postulated that oscillator synchronization is the mechanism for binding these features together to realize coherent perception. A discrete dynamic model of a coupled system of oscillators is presented. The netwo...

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Bibliographic Details
Published in:IEEE transactions on neural networks 1998-01, Vol.9 (1), p.51-57
Main Authors: Schultz, A., Wechsler, H.
Format: Article
Language:English
Subjects:
Applied sciences
Biological system modeling
Convergence of numerical methods
Differential equations
Discrete transforms
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Image segmentation
Information processing
Neural networks
Object detection
Oscillators
Pattern recognition
Shape
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Summary:Biological information processing systems employ a variety of feature types. It has been postulated that oscillator synchronization is the mechanism for binding these features together to realize coherent perception. A discrete dynamic model of a coupled system of oscillators is presented. The network of oscillators converges to a state where subpopulations of cells become phase synchronized. It has potential applications to describing biological perception as well as for the construction of multifeature pattern recognition systems. It is shown that this model can be used to detect the presence of short line segments in the boundary contour of an object. The Hough transform, which is the standard method for detecting curve segments of a specified shape in an image was found not to be effective for this application. Implementation of the discrete dynamics model of oscillator synchronization is much easier than the differential equation models that have appeared in the literature. A systematic numerical investigation of the convergence properties of the model has been performed and it is shown that the discrete dynamics model can scale up to large number of oscillators.
ISSN:1045-9227
1941-0093
DOI:10.1109/72.655029