Collective states in a ring network of theta neurons.

Proc Math Phys Eng Sci

School of Natural and Computational Sciences, Massey University, Private Bag 102-904 NSMC, Auckland, New Zealand.

Published: March 2022

We consider a ring network of theta neurons with non-local homogeneous coupling. We analyse the corresponding continuum evolution equation, analytically describing all possible steady states and their stability. By considering a number of different parameter sets, we determine the typical bifurcation scenarios of the network, and put on a rigorous footing some previously observed numerical results.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8908473PMC
http://dx.doi.org/10.1098/rspa.2021.0817DOI Listing

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