Optimal system size for complex dynamics in random neural networks near criticality

DOI10.1063/1.4841396zbMath1331.92021arXiv1301.3779OpenAlexW3104187940WikidataQ47190967 ScholiaQ47190967MaRDI QIDQ2787911

Gilles Wainrib, Luis Carlos García del Molino

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3779

zbMATH Keywords

criticalitychaotic dynamicsrandom neural networksrandom connectivity matrix

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Ordinary differential equations and systems with randomness (34F05) Random matrices (algebraic aspects) (15B52) Complex behavior and chaotic systems of ordinary differential equations (34C28) Connectivity (05C40)

Related Items

Biological modelling of a computational spiking neural network with neuronal avalanches, A local echo state property through the largest Lyapunov exponent

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large deviations for Langevin spin glass dynamics
• Random matrices: universality of ESDs and the circular law
• Limits and dynamics of randomly connected neuronal networks
• Edge scaling limits for a family of non-Hermitian random matrix ensembles
• Extremal laws for the real Ginibre ensemble
• The criticality hypothesis: how local cortical networks might optimize information processing
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Characteristics of Random Nets of Analog Neuron-Like Elements
• An introduction to statistical modeling of extreme values