A view of Neural Networks as dynamical systems

Details A view of Neural Networks as dynamical systems A view of Neural Networks as dynamical systems

2009-01-15

arxiv.org/abs/0901.2203v2

International Journal of Bifurcations and Chaos, Volume: 20, Issue: 6(2010) pp. 1585-1629

Nonlinear Sciences

Adaptation and Self-Organizing Systems

Review paper, 51 pages, 10 figures. submitted

Scientific paper

10.1142/S0218127410026721

We consider neural networks from the point of view of dynamical systems theory. In this spirit we review recent results dealing with the following questions, adressed in the context of specific models. 1. Characterizing the collective dynamics; 2. Statistical analysis of spikes trains; 3. Interplay between dynamics and network structure; 4. Effects of synaptic plasticity.

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