Synchrony and desynchrony in integrate-and-fire oscillators
Neural Computation
The bifurcating neuron network 1
Neural Networks
A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science
Training cellular automata for image processing
IEEE Transactions on Image Processing
Simple model of spiking neurons
IEEE Transactions on Neural Networks
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This paper studies digital spike maps that can generate various periodic spike-trains. In order to analyze the maps, we present a simple analysis algorithm to calculate basic feature quantities. We then analyze a typical example of the map given by discretizing the bifurcating neuron. Applying the algorithm to the example, we demonstrate complex dynamics and give basic classification of the dynamics.