The Hindmarsh–Rose neuron model: bifurcation analysis and piecewise-linear approximations

M Storace, D Linaro, E de Lange - Chaos: An Interdisciplinary Journal …, 2008 - pubs.aip.org
This paper provides a global picture of the bifurcation scenario of the Hindmarsh–Rose
model. A combination between simulations and numerical continuations is used to unfold
the complex bifurcation structure. The bifurcation analysis is carried out by varying two
bifurcation parameters and evidence is given that the structure that is found is universal and
appears for all combinations of bifurcation parameters. The information about the organizing
principles and bifurcation diagrams are then used to compare the dynamics of the model …
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