Linear stability analysis of homogeneous states in sparse random networks of next-generation neural mass models links instabilities to connectivity spectra, revealing winner-takes-all patterns in undirected inhibitory systems and high-dimensional chaos in directed networks.
Ruelle, Large volume limit of the distribution of characteris- tic exponents in turbulence, Communications in Mathematical Physics87, 287–302 (1982)
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Symmetry breaking and high-dimensional chaos in sparse random networks of exact firing rate models
Linear stability analysis of homogeneous states in sparse random networks of next-generation neural mass models links instabilities to connectivity spectra, revealing winner-takes-all patterns in undirected inhibitory systems and high-dimensional chaos in directed networks.