Clusella, Pau; Köksal-Ersöz, Elif; Garcia-Ojalvo, Jordi; Ruffini, Giulio Comparison between an exact and a heuristic neural mass model with second-order synapses. (English) Zbl 1521.92027 Biol. Cybern. 117, No. 1-2, 5-19 (2023). MSC: 92C20 34A34 PDFBibTeX XMLCite \textit{P. Clusella} et al., Biol. Cybern. 117, No. 1--2, 5--19 (2023; Zbl 1521.92027) Full Text: DOI arXiv
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
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
Kuwada, Seiji; Aota, Tomoya; Uehara, Kengo; Nara, Shigetoshi Application of chaos in a recurrent neural network to control in ill-posed problems: a novel autonomous robot arm. (English) Zbl 1402.93183 Biol. Cybern. 112, No. 5, 495-508 (2018). MSC: 93C85 93C40 68T40 34H10 68T05 92B20 PDFBibTeX XMLCite \textit{S. Kuwada} et al., Biol. Cybern. 112, No. 5, 495--508 (2018; Zbl 1402.93183) Full Text: DOI
Yamakou, Marius E.; Jost, Jürgen Weak-noise-induced transitions with inhibition and modulation of neural oscillations. (English) Zbl 1402.92031 Biol. Cybern. 112, No. 5, 445-463 (2018). MSC: 92B20 34C23 PDFBibTeX XMLCite \textit{M. E. Yamakou} and \textit{J. Jost}, Biol. Cybern. 112, No. 5, 445--463 (2018; Zbl 1402.92031) Full Text: DOI arXiv
Rigatos, Gerasimos G. Fixed-point bifurcation analysis in biological models using interval polynomials theory. (English) Zbl 1294.92013 Biol. Cybern. 108, No. 3, 365-380 (2014). MSC: 92C20 34D20 34C23 37G15 PDFBibTeX XMLCite \textit{G. G. Rigatos}, Biol. Cybern. 108, No. 3, 365--380 (2014; Zbl 1294.92013) 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
Medvedev, Georgi S.; Zhuravytska, Svitlana Shaping bursting by electrical coupling and noise. (English) Zbl 1387.92010 Biol. Cybern. 106, No. 2, 67-88 (2012). MSC: 92B20 92C20 34C23 PDFBibTeX XMLCite \textit{G. S. Medvedev} and \textit{S. Zhuravytska}, Biol. Cybern. 106, No. 2, 67--88 (2012; Zbl 1387.92010) Full Text: DOI arXiv
Karmeshu; Gupta, Varun; Kadambari, K. V. Neuronal model with distributed delay: analysis and simulation study for gamma distribution memory kernel. (English) Zbl 1232.34085 Biol. Cybern. 104, No. 6, 369-383 (2011). MSC: 34F05 92C20 PDFBibTeX XMLCite \textit{Karmeshu} et al., Biol. Cybern. 104, No. 6, 369--383 (2011; Zbl 1232.34085) Full Text: DOI
Matsuoka, Kiyotoshi Analysis of a neural oscillator. (English) Zbl 1232.34058 Biol. Cybern. 104, No. 4-5, 297-304 (2011). MSC: 34C15 92C20 PDFBibTeX XMLCite \textit{K. Matsuoka}, Biol. Cybern. 104, No. 4--5, 297--304 (2011; Zbl 1232.34058) 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
Song, Yongli; Makarov, Valeri A.; Velarde, Manuel G. Stability switches, oscillatory multistability, and spatio-temporal patterns of nonlinear oscillations in recurrently delay coupled neural networks. (English) Zbl 1342.92023 Biol. Cybern. 101, No. 2, 147-167 (2009). MSC: 92B20 34C23 PDFBibTeX XMLCite \textit{Y. Song} et al., Biol. Cybern. 101, No. 2, 147--167 (2009; Zbl 1342.92023) Full Text: DOI
Meyer, Ulrike; Shao, Jing; Chakrabarty, Saurish; Brandt, Sebastian F.; Luksch, Harald; Wessel, Ralf Distributed delays stabilize neural feedback systems. (English) Zbl 1157.92009 Biol. Cybern. 99, No. 1, 79-87 (2008). MSC: 92C20 34K60 34K35 PDFBibTeX XMLCite \textit{U. Meyer} et al., Biol. Cybern. 99, No. 1, 79--87 (2008; Zbl 1157.92009) Full Text: DOI arXiv
Bielecki, Andrzej; Kalita, Piotr; Lewandowski, Marian; Skomorowski, Marek Compartment model of neuropeptide synaptic transport with impulse control. (English) Zbl 1153.92003 Biol. Cybern. 99, No. 6, 443-458 (2008). MSC: 92C20 35Q80 34A99 35K57 93A30 65C20 PDFBibTeX XMLCite \textit{A. Bielecki} et al., Biol. Cybern. 99, No. 6, 443--458 (2008; Zbl 1153.92003) Full Text: DOI
Touboul, Jonathan; Brette, Romain Dynamics and bifurcations of the adaptive exponential integrate-and-fire model. (English) Zbl 1161.92016 Biol. Cybern. 99, No. 4-5, 319-334 (2008). MSC: 92C20 92C05 37N25 34C60 PDFBibTeX XMLCite \textit{J. Touboul} and \textit{R. Brette}, Biol. Cybern. 99, No. 4--5, 319--334 (2008; Zbl 1161.92016) Full Text: DOI Link
Zhang, Yu; Bose, Amitabha; Nadim, Farzan Predicting the activity phase of a follower neuron with A-current in an inhibitory network. (English) Zbl 1153.92008 Biol. Cybern. 99, No. 3, 171-184 (2008). MSC: 92C20 34C25 37N25 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Biol. Cybern. 99, No. 3, 171--184 (2008; Zbl 1153.92008) Full Text: DOI Link
Calitoiu, D.; Oommen, B. J.; Nussbaum, D. Spikes annihilation in the Hodgkin-Huxley neuron. (English) Zbl 1146.92006 Biol. Cybern. 98, No. 3, 239-257 (2008). MSC: 92C20 34C60 PDFBibTeX XMLCite \textit{D. Calitoiu} et al., Biol. Cybern. 98, No. 3, 239--257 (2008; Zbl 1146.92006) 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
Hauptmann, C.; Mackey, M. C. Stimulus-dependent onset latency of inhibitory recurrent activity. (English) Zbl 1083.92004 Biol. Cybern. 88, No. 6, 459-467 (2003). MSC: 92C20 34K60 PDFBibTeX XMLCite \textit{C. Hauptmann} and \textit{M. C. Mackey}, Biol. Cybern. 88, No. 6, 459--467 (2003; Zbl 1083.92004) Full Text: DOI
Giannakopoulos, F.; Bihler, U.; Hauptmann, C.; Luhmann, H. J. Epileptiform activity in a neocortical network: a mathematical model. (English) Zbl 1160.92333 Biol. Cybern. 85, No. 4, 257-268 (2001). MSC: 92C50 92C20 34K60 PDFBibTeX XMLCite \textit{F. Giannakopoulos} et al., Biol. Cybern. 85, No. 4, 257--268 (2001; Zbl 1160.92333) Full Text: DOI
Fukai, Hidekazu; Nomura, Taishin; Doi, Shinji; Sato, Shunsuke Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations. II: Singularity theoretic approach and highly degenerate bifurcations. (English) Zbl 0962.92006 Biol. Cybern. 82, No. 3, 223-229 (2000). MSC: 92C20 34C23 37N25 PDFBibTeX XMLCite \textit{H. Fukai} et al., Biol. Cybern. 82, No. 3, 223--229 (2000; Zbl 0962.92006) Full Text: DOI
Fukai, Hidekazu; Doi, Shinji; Nomura, Taishin; Sato, Shunsuke Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations. I: Global organization of bistable periodic solutions. (English) Zbl 0962.92005 Biol. Cybern. 82, No. 3, 215-222 (2000). MSC: 92C20 34C23 PDFBibTeX XMLCite \textit{H. Fukai} et al., Biol. Cybern. 82, No. 3, 215--222 (2000; Zbl 0962.92005) Full Text: DOI
van der Kooij, Herman; Jacobs, Ron; Koopman, Bart; Grootenboer, Henk A multisensory integration model of human stance control. (English) Zbl 0932.92009 Biol. Cybern. 80, No. 5, 299-308 (1999). MSC: 92C20 34K60 92C50 PDFBibTeX XMLCite \textit{H. van der Kooij} et al., Biol. Cybern. 80, No. 5, 299--308 (1999; Zbl 0932.92009) Full Text: DOI
Cartling, Bo Control of computational dynamics of coupled integrate-and-fire neurons. (English) Zbl 0883.92008 Biol. Cybern. 76, No. 5, 383-395 (1997). MSC: 92C20 34A34 PDFBibTeX XMLCite \textit{B. Cartling}, Biol. Cybern. 76, No. 5, 383--395 (1997; Zbl 0883.92008) Full Text: DOI
Hoppensteadt, Frank C.; Izhikevich, Eugene M. Synaptic organizations and dynamical properties of weakly connected neural oscillators. II: Learning phase information. (English) Zbl 0882.92007 Biol. Cybern. 75, No. 2, 129-135 (1996). MSC: 92C20 34C23 37-XX PDFBibTeX XMLCite \textit{F. C. Hoppensteadt} and \textit{E. M. Izhikevich}, Biol. Cybern. 75, No. 2, 129--135 (1996; Zbl 0882.92007) Full Text: DOI
Hoppensteadt, Frank C.; Izhikevich, Eugene M. Synaptic organizations and dynamical properties of weakly connected neural oscillators. I: Analysis of a canonical model. (English) Zbl 0882.92006 Biol. Cybern. 75, No. 2, 117-127 (1996). MSC: 92C20 34C23 37-XX PDFBibTeX XMLCite \textit{F. C. Hoppensteadt} and \textit{E. M. Izhikevich}, Biol. Cybern. 75, No. 2, 117--127 (1996; Zbl 0882.92006) Full Text: DOI
Hangartner, R. D.; Cull, P. A ternary logic model for recurrent neuromime networks with delay. (English) Zbl 0826.92010 Biol. Cybern. 73, No. 2, 177-188 (1995). MSC: 92C20 92B20 34K20 PDFBibTeX XMLCite \textit{R. D. Hangartner} and \textit{P. Cull}, Biol. Cybern. 73, No. 2, 177--188 (1995; Zbl 0826.92010) Full Text: DOI
Bernard, C.; Ge, Y. C.; Stockley, E.; Willis, J. B.; Wheal, H. V. Synaptic integration of NMDA and non-NMDA receptors in large neuronal network models solved by means of differential equations. (English) Zbl 0786.92006 Biol. Cybern. 70, No. 3, 267-273 (1994). MSC: 92C20 33B10 33B99 34A05 PDFBibTeX XMLCite \textit{C. Bernard} et al., Biol. Cybern. 70, No. 3, 267--273 (1994; Zbl 0786.92006) Full Text: DOI
Bedrov, Y. A.; Akoev, G. N.; Dick, O. E. Partition of the Hodgkin-Huxley type model parameter space into the regions of qualitatively different solutions. (English) Zbl 0745.92004 Biol. Cybern. 66, No. 5, 413-418 (1992). MSC: 92C20 34C99 34D99 PDFBibTeX XMLCite \textit{Y. A. Bedrov} et al., Biol. Cybern. 66, No. 5, 413--418 (1992; Zbl 0745.92004) Full Text: DOI
Borisyuk, Roman M.; Kirillov, Alexandr B. Bifurcation analysis of a neural network model. (English) Zbl 0737.92001 Biol. Cybern. 66, No. 4, 319-325 (1992). MSC: 92B20 34C23 PDFBibTeX XMLCite \textit{R. M. Borisyuk} and \textit{A. B. Kirillov}, Biol. Cybern. 66, No. 4, 319--325 (1992; Zbl 0737.92001) Full Text: DOI
Stewart, Alan L.; Pinkham, Roger A space-variant differential operator for visual sensitivity. (English) Zbl 0715.92005 Biol. Cybern. 64, No. 5, 373-379 (1991). MSC: 92C20 34L10 33C45 PDFBibTeX XMLCite \textit{A. L. Stewart} and \textit{R. Pinkham}, Biol. Cybern. 64, No. 5, 373--379 (1991; Zbl 0715.92005) Full Text: DOI
Verri, A.; Aicardi, F. Limit cycles of the two-dimensional motion field. (English) Zbl 0818.92031 Biol. Cybern. 64, No. 2, 141-144 (1990). MSC: 91E30 92C20 34C05 PDFBibTeX XMLCite \textit{A. Verri} and \textit{F. Aicardi}, Biol. Cybern. 64, No. 2, 141--144 (1990; Zbl 0818.92031) Full Text: DOI
Aicardi, F. On the existence of limit cycles in motion field. (English) Zbl 0683.92024 Biol. Cybern. 62, No. 2, 99-106 (1989). MSC: 92F05 68T99 34C05 37-XX PDFBibTeX XMLCite \textit{F. Aicardi}, Biol. Cybern. 62, No. 2, 99--106 (1989; Zbl 0683.92024) Full Text: DOI
Oğuztöreli, M. N.; Caelli, T. M. An inverse problem in neural processing. (English) Zbl 0587.92011 Biol. Cybern. 53, 239-245 (1986). Reviewer: J.Cronin MSC: 92Cxx 34K99 94C99 45J05 PDFBibTeX XMLCite \textit{M. N. Oğuztöreli} and \textit{T. M. Caelli}, Biol. Cybern. 53, 239--245 (1986; Zbl 0587.92011) Full Text: DOI
Bomze, Immanuel M. Lotka-Volterra equation and replicator dynamics: A two-dimensional classification. (English) Zbl 0524.92028 Biol. Cybern. 48, 201-211 (1983). MSC: 92D50 92D15 34C05 34D20 34D30 PDFBibTeX XMLCite \textit{I. M. Bomze}, Biol. Cybern. 48, 201--211 (1983; Zbl 0524.92028) Full Text: DOI
Wilbur, W. John; Rinzel, John An analysis of Stein’s model for stochastic neuronal excitation. (English) Zbl 0505.92014 Biol. Cybern. 45, 107-114 (1982). MSC: 92Cxx 34K99 PDFBibTeX XMLCite \textit{W. J. Wilbur} and \textit{J. Rinzel}, Biol. Cybern. 45, 107--114 (1982; Zbl 0505.92014) Full Text: DOI
Hofbauer, Josef; Schuster, Peter; Sigmund, Karl Game dynamics in Mendelian populations. (English) Zbl 0473.92015 Biol. Cybern. 43, 51-57 (1982). MSC: 92D25 91A40 37-XX 92D10 34C05 PDFBibTeX XMLCite \textit{J. Hofbauer} et al., Biol. Cybern. 43, 51--57 (1982; Zbl 0473.92015) Full Text: DOI
Holden, A. V.; Yoda, M. Ionic channel density of excitable membranes can act as a bifurcation parameter. (English) Zbl 0466.92007 Biol. Cybern. 42, 29-38 (1981). MSC: 92Cxx 34C25 34C05 PDFBibTeX XMLCite \textit{A. V. Holden} and \textit{M. Yoda}, Biol. Cybern. 42, 29--38 (1981; Zbl 0466.92007) Full Text: DOI
Poggio, T.; Reichardt, W. Visual fixation and tracking by flies: Mathematical properties of simple control systems. (English) Zbl 0464.92006 Biol. Cybern. 40, 101-112 (1981). MSC: 92Cxx 92B05 34K35 93C15 93D99 68U20 PDFBibTeX XMLCite \textit{T. Poggio} and \textit{W. Reichardt}, Biol. Cybern. 40, 101--112 (1981; Zbl 0464.92006) Full Text: DOI
Stein, R. B.; Oguztöreli, M. N. The role of gamma-motoneurons in mammalian reflex systems. (English) Zbl 0457.92005 Biol. Cybern. 39, 171-179 (1981). MSC: 92Cxx 34K35 PDFBibTeX XMLCite \textit{R. B. Stein} and \textit{M. N. Oguztöreli}, Biol. Cybern. 39, 171--179 (1981; Zbl 0457.92005) Full Text: DOI
Oguztöreli, M. N. Modelling and simulation of vertebrate retina. (English) Zbl 0437.92009 Biol. Cybern. 37, 53-61 (1980). MSC: 92Cxx 91E30 45G10 34K99 65C20 PDFBibTeX XMLCite \textit{M. N. Oguztöreli}, Biol. Cybern. 37, 53--61 (1980; Zbl 0437.92009) Full Text: DOI
Oguztöreli, M. N. Activity analysis of neural networks. (English) Zbl 0409.92003 Biol. Cybern. 34, 159-169 (1979). MSC: 92Cxx 34C10 34K99 94C99 65J99 PDFBibTeX XMLCite \textit{M. N. Oguztöreli}, Biol. Cybern. 34, 159--169 (1979; Zbl 0409.92003) Full Text: DOI
Kawato, M.; Sokabe, M.; Suzuki, R. Synergism and antagonism of neurons caused by an electrical synapse. (English) Zbl 0407.92010 Biol. Cybern. 34, 81-89 (1979). MSC: 92Cxx 34A30 34C15 34C25 68U20 PDFBibTeX XMLCite \textit{M. Kawato} et al., Biol. Cybern. 34, 81--89 (1979; Zbl 0407.92010) Full Text: DOI
Kawato, M.; Suzuki, R. Biological oscillators can be stopped - topological study of a phase response curve. (English) Zbl 0433.34036 Biol. Cybern. 30, 241-248 (1978). MSC: 37-XX 34C05 92C50 34C10 70J99 PDFBibTeX XMLCite \textit{M. Kawato} and \textit{R. Suzuki}, Biol. Cybern. 30, 241--248 (1978; Zbl 0433.34036) Full Text: DOI
an der Heiden, Uwe Existence of periodic solutions of a nerve equation. (English) Zbl 0316.92001 Biolog. Cybern. 21, 37-39 (1976). MSC: 92B05 34C25 34C15 34D99 PDFBibTeX XMLCite \textit{U. an der Heiden}, Biol. Cybern. 21, 37--39 (1976; Zbl 0316.92001) Full Text: DOI
Capocelli, R. M.; Ricciardi, L. M. A note on growth processes in random environment. (English) Zbl 0316.92016 Biolog. Cybern. 18, 105-109 (1975). MSC: 92D25 60J99 34A30 PDFBibTeX XMLCite \textit{R. M. Capocelli} and \textit{L. M. Ricciardi}, Biol. Cybern. 18, 105--109 (1975; Zbl 0316.92016)