Person: ALAÇAM, DENİZ
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Publication Dynamics and bifurcations in multistable 3-cell neural networks(Amer Inst Physics, 2020-07-01) Collens, J.; Pusuluri, K.; Kelley, A.; Knapper, D.; Xing, T.; Basodi, S.; Shilnikov, A. L.; Alacam, D.; ALAÇAM, DENİZ; Bursa Uludağ Üniversitesi/Mühendislik Fakültesi/Matematik Anabilim Dalı.; 0000-0001-6269-216X; FYS-2617-2022We disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscillatory neurons, as opposed to those of a detailed Hodgkin-Huxley type [Wojcik et al., PLoS One 9, e92918 (2014)]. The computational reduction to return maps for the phase-lags between neurons reveals a rich multiplicity of rhythmic patterns in such circuits. We perform a detailed bifurcation analysis to show how such rhythms can emerge, disappear, and gain or lose stability, as the parameters of the individual cells and the synapses are varied.