Characterization of periodic attractors in neural ring networks
Neural Networks
Mind as motion: explorations in the dynamics of cognition
Mind as motion: explorations in the dynamics of cognition
Perceptrons, adalines, and backpropagation
The handbook of brain theory and neural networks
Auditory–Motor Interaction Revealed by fMRI: Speech, Music, and Working Memory in Area Spt
Journal of Cognitive Neuroscience
Neural Computation
CiE '07 Proceedings of the 3rd conference on Computability in Europe: Computation and Logic in the Real World
Journal of Computational Neuroscience
A neurodynamical model for working memory
Neural Networks
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Humans are able to perform a large variety of periodic activities in different modes, for instance cyclic rehearsal of phone numbers, humming a melody sniplet over and over again. These performances are, to a certain degree, robust against perturbations, and it often suffices to present a new pattern a few times only until it can be "picked up". From an abstract mathematical perspective, this implies that the brain, as a dynamical system, (1) hosts a very large number of cyclic attractors, such that (2) if the system is driven by external input with a cyclic motif, it can entrain to a closely corresponding attractor in a very short time. This chapter proposes a simple recurrent neural network architecture which displays these dynamical phenomena. The model builds on echo state networks (ESNs), which have recently become popular in machine learning and computational neuroscience.