Degree assortativity in networks of spiking neurons

DOI10.3934/jcd.2020016zbMath1448.92012arXiv2004.00206OpenAlexW3042646207MaRDI QIDQ2194430

Christian Bläsche, Carlo R. Laing, Shawn A. Means

Publication date: 26 August 2020

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00206

zbMATH Keywords

bifurcationneuronal networkstheta neuronsdegree assortativityOtt/Antonsen

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcation theory for ordinary differential equations (34C23) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Cites Work

• Numerical bifurcation theory for high-dimensional neural models
• Bifurcation of a homoclinic orbit with a saddle-node equilibrium
• Connected components in random graphs with given expected degree sequences
• Exact Neural Fields Incorporating Gap Junctions
• Parabolic Bursting in an Excitable System Coupled with a Slow Oscillation
• The Structure and Function of Complex Networks
• Modeling the network dynamics of pulse-coupled neurons
• Numerical Methods for Bifurcations of Dynamical Equilibria
• Low dimensional behavior of large systems of globally coupled oscillators
• The dynamics of network coupled phase oscillators: An ensemble approach
• Complete Classification of the Macroscopic Behavior of a Heterogeneous Network of Theta Neurons
• Networks of noisy oscillators with correlated degree and frequency dispersion

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