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Zbl 1196.37088
Curtu, Rodica
Singular Hopf bifurcations and mixed-mode oscillations in a two-cell inhibitory neural network. (English)
[J] Physica D 239, No. 9, 504-514 (2010). ISSN 0167-2789

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.
[Shengqiang Liu (Harbin)]
MSC 2000:
*37G35 Attractors and their bifurcations
92C20 Neural biology

Keywords: neural systems; singular Hopf; period-doubling bifurcations

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