Wang, Yangyang; Gill, Jeffrey P.; Chiel, Hillel J.; Thomas, Peter J. Variational and phase response analysis for limit cycles with hard boundaries, with applications to neuromechanical control problems. (English) Zbl 1508.92040 Biol. Cybern. 116, No. 5-6, 687-710 (2022). MSC: 92C20 92C10 34C05 PDFBibTeX XMLCite \textit{Y. Wang} et al., Biol. Cybern. 116, No. 5--6, 687--710 (2022; Zbl 1508.92040) Full Text: DOI arXiv
Painchaud, Vincent; Doyon, Nicolas; Desrosiers, Patrick Beyond Wilson-Cowan dynamics: oscillations and chaos without inhibition. (English) Zbl 1508.92012 Biol. Cybern. 116, No. 5-6, 527-543 (2022). MSC: 92B20 60J28 PDFBibTeX XMLCite \textit{V. Painchaud} et al., Biol. Cybern. 116, No. 5--6, 527--543 (2022; Zbl 1508.92012) Full Text: DOI arXiv
Pérez-Cervera, Alberto; Lindner, Benjamin; Thomas, Peter J. Quantitative comparison of the mean-return-time phase and the stochastic asymptotic phase for noisy oscillators. (English) Zbl 1491.92015 Biol. Cybern. 116, No. 2, 219-234 (2022). MSC: 92B20 92B25 PDFBibTeX XMLCite \textit{A. Pérez-Cervera} et al., Biol. Cybern. 116, No. 2, 219--234 (2022; Zbl 1491.92015) Full Text: DOI
Ashwin, Peter; Postlethwaite, Claire Excitable networks for finite state computation with continuous time recurrent neural networks. (English) Zbl 07460547 Biol. Cybern. 115, No. 5, 519-538 (2021). MSC: 68Txx 05Cxx 34-XX PDFBibTeX XMLCite \textit{P. Ashwin} and \textit{C. Postlethwaite}, Biol. Cybern. 115, No. 5, 519--538 (2021; Zbl 07460547) Full Text: DOI arXiv
Wojtak, Weronika; Coombes, Stephen; Avitabile, Daniele; Bicho, Estela; Erlhagen, Wolfram A dynamic neural field model of continuous input integration. (English) Zbl 1480.92021 Biol. Cybern. 115, No. 5, 451-471 (2021). MSC: 92B20 35Q92 PDFBibTeX XMLCite \textit{W. Wojtak} et al., Biol. Cybern. 115, No. 5, 451--471 (2021; Zbl 1480.92021) Full Text: DOI Link
Kelso, J. A. Scott The Haken-Kelso-Bunz (HKB) model: from matter to movement to mind. (English) Zbl 1471.92025 Biol. Cybern. 115, No. 4, 305-322 (2021). MSC: 92B20 PDFBibTeX XMLCite \textit{J. A. S. Kelso}, Biol. Cybern. 115, No. 4, 305--322 (2021; Zbl 1471.92025) Full Text: DOI
Pu, Shusen; Thomas, Peter J. Resolving molecular contributions of ion channel noise to interspike interval variability through stochastic shielding. (English) Zbl 1471.92072 Biol. Cybern. 115, No. 3, 267-302 (2021); correction ibid. 115, No. 3, 303-304 (2021). MSC: 92C20 PDFBibTeX XMLCite \textit{S. Pu} and \textit{P. J. Thomas}, Biol. Cybern. 115, No. 3, 267--302 (2021; Zbl 1471.92072) Full Text: DOI arXiv
Yu, Zhuojun; Thomas, Peter J. Dynamical consequences of sensory feedback in a half-center oscillator coupled to a simple motor system. (English) Zbl 1467.92049 Biol. Cybern. 115, No. 2, 135-160 (2021). MSC: 92C20 PDFBibTeX XMLCite \textit{Z. Yu} and \textit{P. J. Thomas}, Biol. Cybern. 115, No. 2, 135--160 (2021; Zbl 1467.92049) Full Text: DOI Link
Kuelbs, Daniel; Dunefsky, Jacob; Monga, Bharat; Moehlis, Jeff Analysis of neural clusters due to deep brain stimulation pulses. (English) Zbl 1460.92097 Biol. Cybern. 114, No. 6, 589-607 (2020). MSC: 92C50 92B20 PDFBibTeX XMLCite \textit{D. Kuelbs} et al., Biol. Cybern. 114, No. 6, 589--607 (2020; Zbl 1460.92097) Full Text: DOI arXiv
Monga, Bharat; Moehlis, Jeff Optimal phase control of biological oscillators using augmented phase reduction. (English) Zbl 1411.92051 Biol. Cybern. 113, No. 1-2, 161-178 (2019). MSC: 92C20 92B25 92C30 49N90 PDFBibTeX XMLCite \textit{B. Monga} and \textit{J. Moehlis}, Biol. Cybern. 113, No. 1--2, 161--178 (2019; Zbl 1411.92051) Full Text: DOI
Monga, Bharat; Wilson, Dan; Matchen, Tim; Moehlis, Jeff Phase reduction and phase-based optimal control for biological systems: a tutorial. (English) Zbl 1411.92122 Biol. Cybern. 113, No. 1-2, 11-46 (2019). MSC: 92C42 49N90 35Q92 PDFBibTeX XMLCite \textit{B. Monga} et al., Biol. Cybern. 113, No. 1--2, 11--46 (2019; Zbl 1411.92122) Full Text: DOI
Heitmann, Stewart; Ermentrout, G. Bard Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity. (English) Zbl 1344.92036 Biol. Cybern. 109, No. 3, 333-347 (2015). MSC: 92C20 92B25 PDFBibTeX XMLCite \textit{S. Heitmann} and \textit{G. B. Ermentrout}, Biol. Cybern. 109, No. 3, 333--347 (2015; Zbl 1344.92036) Full Text: DOI
Yi, Guosheng; Wang, Jiang; Tsang, Kai-Ming; Wei, Xile; Deng, Bin; Han, Chunxiao Spike-frequency adaptation of a two-compartment neuron modulated by extracellular electric fields. (English) Zbl 1344.92044 Biol. Cybern. 109, No. 3, 287-306 (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{G. Yi} et al., Biol. Cybern. 109, No. 3, 287--306 (2015; Zbl 1344.92044) Full Text: DOI
Abbasian, A. H.; Fallah, H.; Razvan, M. R. Symmetric bursting behaviors in the generalized FitzHugh-Nagumo model. (English) Zbl 1294.92005 Biol. Cybern. 107, No. 4, 465-476 (2013). MSC: 92C20 34C23 37N25 37G15 34C60 PDFBibTeX XMLCite \textit{A. H. Abbasian} et al., Biol. Cybern. 107, No. 4, 465--476 (2013; Zbl 1294.92005) Full Text: DOI
Dodla, Ramana; Wilson, Charles J. Spike width and frequency alter stability of phase-locking in electrically coupled neurons. (English) Zbl 1267.92021 Biol. Cybern. 107, No. 3, 367-383 (2013). MSC: 92C20 92C05 92B25 92B20 PDFBibTeX XMLCite \textit{R. Dodla} and \textit{C. J. Wilson}, Biol. Cybern. 107, No. 3, 367--383 (2013; Zbl 1267.92021) Full Text: DOI Link
Pasillas-Lépine, William Delay-induced oscillations in Wilson and Cowan’s model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects. (English) Zbl 1267.92034 Biol. Cybern. 107, No. 3, 289-308 (2013). MSC: 92C20 92C50 92-08 PDFBibTeX XMLCite \textit{W. Pasillas-Lépine}, Biol. Cybern. 107, No. 3, 289--308 (2013; Zbl 1267.92034) Full Text: DOI
Nguyen, Le Hoa; Hong, Keum-Shik; Park, Seonghun Bifurcation control of the Morris-Lecar neuron model via a dynamic state-feedback control. (English) Zbl 1267.92032 Biol. Cybern. 106, No. 10, 587-594 (2012). MSC: 92C20 93B52 92-08 PDFBibTeX XMLCite \textit{L. H. Nguyen} et al., Biol. Cybern. 106, No. 10, 587--594 (2012; Zbl 1267.92032) Full Text: DOI
Goulet, Julie; Ermentrout, G. Bard The mechanisms for compression and reflection of cortical waves. (English) Zbl 1248.92009 Biol. Cybern. 105, No. 3-4, 253-268 (2011). MSC: 92C20 PDFBibTeX XMLCite \textit{J. Goulet} and \textit{G. B. Ermentrout}, Biol. Cybern. 105, No. 3--4, 253--268 (2011; Zbl 1248.92009) Full Text: DOI
Amiri, Mahmood; Montaseri, Ghazal; Bahrami, Fariba On the role of astrocytes in synchronization of two coupled neurons: a mathematical perspective. (English) Zbl 1248.92004 Biol. Cybern. 105, No. 2, 153-166 (2011). MSC: 92C20 92B25 93B52 PDFBibTeX XMLCite \textit{M. Amiri} et al., Biol. Cybern. 105, No. 2, 153--166 (2011; Zbl 1248.92004) Full Text: DOI
Manica, Evandro; Medvedev, Georgi S.; Rubin, Jonathan E. First return maps for the dynamics of synaptically coupled conditional bursters. (English) Zbl 1266.37052 Biol. Cybern. 103, No. 2, 87-104 (2010). MSC: 37N25 92C20 34C60 PDFBibTeX XMLCite \textit{E. Manica} et al., Biol. Cybern. 103, No. 2, 87--104 (2010; Zbl 1266.37052) Full Text: DOI
Nesse, William H.; Clark, Gregory A. Relative spike timing in stochastic oscillator networks of the Hermissenda eye. (English) Zbl 1266.92035 Biol. Cybern. 102, No. 5, 389-412 (2010). MSC: 92C20 92C42 37N25 PDFBibTeX XMLCite \textit{W. H. Nesse} and \textit{G. A. Clark}, Biol. Cybern. 102, No. 5, 389--412 (2010; Zbl 1266.92035) Full Text: DOI
Giugliano, Michele; La Camera, Giancarlo; Fusi, Stefano; Senn, Walter The response of cortical neurons to in vivo-like input current: theory and experiment. II: Time-varying and spatially distributed inputs. (English) Zbl 1161.92008 Biol. Cybern. 99, No. 4-5, 303-318 (2008). MSC: 92C20 PDFBibTeX XMLCite \textit{M. Giugliano} et al., Biol. Cybern. 99, No. 4--5, 303--318 (2008; Zbl 1161.92008) Full Text: DOI Link
Nordbø, Øyvind; Wyller, John; Einevoll, Gaute T. Neural network firing-rate models on integral form. (English) Zbl 1125.92014 Biol. Cybern. 97, No. 3, 195-209 (2007). MSC: 92C20 37N25 45D05 PDFBibTeX XMLCite \textit{Ø. Nordbø} et al., Biol. Cybern. 97, No. 3, 195--209 (2007; Zbl 1125.92014) Full Text: DOI
Rubin, Jonathan; Wechselberger, Martin Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. (English) Zbl 1125.92015 Biol. Cybern. 97, No. 1, 5-32 (2007). MSC: 92C20 37N25 34D10 34C60 PDFBibTeX XMLCite \textit{J. Rubin} and \textit{M. Wechselberger}, Biol. Cybern. 97, No. 1, 5--32 (2007; Zbl 1125.92015) Full Text: DOI
Hodge, A.; Edwards, R.; Paul, D. H.; van den Driessche, P. Neuronal network models of phase separation between limb CPGs of digging sand crabs. (English) Zbl 1172.92323 Biol. Cybern. 95, No. 1, 55-68 (2006). MSC: 92C20 37N25 92B20 PDFBibTeX XMLCite \textit{A. Hodge} et al., Biol. Cybern. 95, No. 1, 55--68 (2006; Zbl 1172.92323) Full Text: DOI
Buchli, Jonas; Righetti, Ludovic; Ijspeert, Auke Jan Engineering entrainment and adaptation in limit cycle systems. (English) Zbl 1161.92300 Biol. Cybern. 95, No. 6, 645-664 (2006). MSC: 92B20 92B05 37N25 37G15 PDFBibTeX XMLCite \textit{J. Buchli} et al., Biol. Cybern. 95, No. 6, 645--664 (2006; Zbl 1161.92300) Full Text: DOI Link
Coombes, S. Waves, bumps, and patterns in neural field theories. (English) Zbl 1116.92012 Biol. Cybern. 93, No. 2, 91-108 (2005). MSC: 92C20 45K05 PDFBibTeX XMLCite \textit{S. Coombes}, Biol. Cybern. 93, No. 2, 91--108 (2005; Zbl 1116.92012) Full Text: DOI Link
Kaske, Alexander; Bertschinger, Nils Travelling wave patterns in a model of the spinal pattern generator using spiking neurons. (English) Zbl 1101.92011 Biol. Cybern. 92, No. 3, 206-218 (2005). MSC: 92C20 94C99 PDFBibTeX XMLCite \textit{A. Kaske} and \textit{N. Bertschinger}, Biol. Cybern. 92, No. 3, 206--218 (2005; Zbl 1101.92011) Full Text: DOI