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We introduce a model of randomly connected neural populations and study its dynamics by means of the dynamical mean-field theory and simulations. Our analysis uncovers a rich phase diagram, featuring high- and low-dimensional chaotic phases, separated by a crossover region characterized by low values of the maximal Lyapunov exponent and participation ratio dimension, but with high values of the Lyapunov dimension that change significantly across the region. Counterintuitively, chaos can be attenuated by either adding noise to strongly modular connectivity or by introducing modularity into random connectivity. Extending the model to include a multilevel, hierarchical connectivity reveals that a loose balance between activities across levels drives the system towards the edge of chaos.more » « lessFree, publicly-accessible full text available April 1, 2026
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Aitken, Kyle; Campagnola, Luke; Garrett, Marina E; Olsen, Shawn R; Mihalas, Stefan (, Cell Reports)Aitken et al. introduce a simple, biologically inspired model for synaptic plasticity that leads to distinct responses to novel versus familiar stimuli. Using an experimentally constrained model of a cortical circuit with plasticity at specific synapses, multiple types of complex novelty effects recently observed in experiment are simultaneously reproduced.more » « less
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