Al-Darabsah, Isam; Campbell, Sue Ann M-current induced Bogdanov-Takens bifurcation and switching of neuron excitability class. (English) Zbl 1467.92046 J. Math. Neurosci. 11, Paper No. 5, 26 p. (2021). MSC: 92C20 35Q92 35B32 PDFBibTeX XMLCite \textit{I. Al-Darabsah} and \textit{S. A. Campbell}, J. Math. Neurosci. 11, Paper No. 5, 26 p. (2021; Zbl 1467.92046) Full Text: DOI arXiv
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A. Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. (English) Zbl 1448.92011 J. Math. Neurosci. 10, Paper No. 9, 43 p. (2020). MSC: 92B20 PDFBibTeX XMLCite \textit{C. Bick} et al., J. Math. Neurosci. 10, Paper No. 9, 43 p. (2020; Zbl 1448.92011) Full Text: DOI arXiv
Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. (English) Zbl 1443.92047 J. Math. Neurosci. 10, Paper No. 4, 39 p. (2020). MSC: 92B20 92C50 92C20 PDFBibTeX XMLCite \textit{B. Duchet} et al., J. Math. Neurosci. 10, Paper No. 4, 39 p. (2020; Zbl 1443.92047) Full Text: DOI
Pérez-Cervera, Alberto; Ashwin, Peter; Huguet, Gemma; Seara, Tere M.; Rankin, James The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability. (English) Zbl 1439.92051 J. Math. Neurosci. 9, Paper No. 7, 33 p. (2019). MSC: 92C20 34C23 PDFBibTeX XMLCite \textit{A. Pérez-Cervera} et al., J. Math. Neurosci. 9, Paper No. 7, 33 p. (2019; Zbl 1439.92051) Full Text: DOI arXiv
Roxin, Alex Drift-diffusion models for multiple-alternative forced-choice decision making. (English) Zbl 1439.92052 J. Math. Neurosci. 9, Paper No. 5, 23 p. (2019). MSC: 92C20 91E10 91B06 PDFBibTeX XMLCite \textit{A. Roxin}, J. Math. Neurosci. 9, Paper No. 5, 23 p. (2019; Zbl 1439.92052) Full Text: DOI
Laing, Carlo R. The dynamics of networks of identical theta neurons. (English) Zbl 1395.92040 J. Math. Neurosci. 8, Paper No. 4, 24 p. (2018). MSC: 92C20 37N25 34K23 PDFBibTeX XMLCite \textit{C. R. Laing}, J. Math. Neurosci. 8, Paper No. 4, 24 p. (2018; Zbl 1395.92040) Full Text: DOI
Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim Entrainment ranges for chains of forced neural and phase oscillators. (English) Zbl 1360.92029 J. Math. Neurosci. 6, Paper No. 6, 21 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{N. Massarelli} et al., J. Math. Neurosci. 6, Paper No. 6, 21 p. (2016; Zbl 1360.92029) Full Text: DOI
Ashwin, Peter; Coombes, Stephen; Nicks, Rachel Mathematical frameworks for oscillatory network dynamics in neuroscience. (English) Zbl 1356.92015 J. Math. Neurosci. 6, Paper No. 2, 92 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{P. Ashwin} et al., J. Math. Neurosci. 6, Paper No. 2, 92 p. (2016; Zbl 1356.92015) Full Text: DOI arXiv
Laing, Carlo R. Numerical bifurcation theory for high-dimensional neural models. (English) Zbl 1333.92018 J. Math. Neurosci. 4, Paper No. 13, 27 p. (2014). MSC: 92C20 65P30 PDFBibTeX XMLCite \textit{C. R. Laing}, J. Math. Neurosci. 4, Paper No. 13, 27 p. (2014; Zbl 1333.92018) Full Text: DOI
Castejón, Oriol; Guillamon, Antoni; Huguet, Gemma Phase-amplitude response functions for transient-state stimuli. (English) Zbl 1291.92026 J. Math. Neurosci. 3, Paper No. 13, 26 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{O. Castejón} et al., J. Math. Neurosci. 3, Paper No. 13, 26 p. (2013; Zbl 1291.92026) Full Text: DOI
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen Phase-amplitude descriptions of neural oscillator models. (English) Zbl 1291.92052 J. Math. Neurosci. 3, Paper No. 2, 22 p. (2013). MSC: 92C20 34C15 37N25 PDFBibTeX XMLCite \textit{K. C. A. Wedgwood} et al., J. Math. Neurosci. 3, Paper No. 2, 22 p. (2013; Zbl 1291.92052) Full Text: DOI arXiv
Nowacki, Jakub; Osinga, Hinke M.; Tsaneva-Atanasova, Krasimira Dynamical systems analysis of spike-adding mechanisms in transient bursts. (English) Zbl 1291.92043 J. Math. Neurosci. 2, Paper No. 7, 28 p. (2012). MSC: 92C20 34C25 37N25 34E13 PDFBibTeX XMLCite \textit{J. Nowacki} et al., J. Math. Neurosci. 2, Paper No. 7, 28 p. (2012; Zbl 1291.92043) Full Text: DOI
Wang, Jiaoyan; Costello, Willie; Rubin, Jonathan E. Tailoring inputs to achieve maximal neuronal firing. (English) Zbl 1259.92011 J. Math. Neurosci. 1, Paper No. 3 (2011). MSC: 92C20 65K10 65L10 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Math. Neurosci. 1, Paper No. 3 (2011; Zbl 1259.92011) Full Text: DOI