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Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network. (English) Zbl 1196.37088
This paper considers a two-cell inhibitory neural network with adaptation modeled by a four-dimensional system of ordinary differential equations. It was found that the system will admit the mixed-mode oscillations (MMOs), and the authors proved that the MMOs are due to a singular Hopf bifurcation point situated in close distance to the transition point to the winner-take-all case.
MSC:
37G35Attractors and their bifurcations
92C20Neural biology
Software:
MATCONT; XPPAUT
References:
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