Szalisznyó, Krisztina; Silverstein, David N.; Tóth, János Neural dynamics in co-morbid schizophrenia and OCD: a computational approach. (English) Zbl 1414.92050 J. Theor. Biol. 473, 80-94 (2019). MSC: 92B20 92C30 PDFBibTeX XMLCite \textit{K. Szalisznyó} et al., J. Theor. Biol. 473, 80--94 (2019; Zbl 1414.92050) Full Text: DOI
Conte, Cameron; Lee, Ray; Sarkar, Monica; Terman, David A mathematical model of recurrent spreading depolarizations. (English) Zbl 1402.92080 J. Comput. Neurosci. 44, No. 2, 203-217 (2018). MSC: 92C20 PDFBibTeX XMLCite \textit{C. Conte} et al., J. Comput. Neurosci. 44, No. 2, 203--217 (2018; Zbl 1402.92080) Full Text: DOI
Weinberger, Oskar; Ashwin, Peter From coupled networks of systems to networks of states in phase space. (English) Zbl 1395.37061 Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 2021-2041 (2018). MSC: 37N35 34D06 37C29 34B45 PDFBibTeX XMLCite \textit{O. Weinberger} and \textit{P. Ashwin}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 5, 2021--2041 (2018; Zbl 1395.37061) Full Text: DOI
Campbell, Sue Ann; Wang, Zhen Phase models and clustering in networks of oscillators with delayed coupling. (English) Zbl 1375.34059 Physica D 363, 44-55 (2018). MSC: 34C15 34K11 34D06 92B20 PDFBibTeX XMLCite \textit{S. A. Campbell} and \textit{Z. Wang}, Physica D 363, 44--55 (2018; Zbl 1375.34059) Full Text: DOI arXiv Link
Yu, Dongyuan; Xu, Xu; Zhou, Jing; Li, Eric Stability and instability of a neuron network with excitatory and inhibitory small-world connections. (English) Zbl 1439.92022 Neural Netw. 89, 50-60 (2017). MSC: 92B20 05C82 34D23 34C23 PDFBibTeX XMLCite \textit{D. Yu} et al., Neural Netw. 89, 50--60 (2017; Zbl 1439.92022) Full Text: DOI
Zhou, Jing; Xu, Xu; Yu, Dongyuan; Li, Wenhao Dynamics and control of a delayed oscillator network by pinning strategy. (English) Zbl 1382.34079 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750193, 16 p. (2017). MSC: 34K35 92B20 34K18 34K13 34K23 PDFBibTeX XMLCite \textit{J. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750193, 16 p. (2017; Zbl 1382.34079) Full Text: DOI
Antoneli, Fernando; Ferreira, Renata C.; Briones, Marcelo R. S. A model of gene expression based on random dynamical systems reveals modularity properties of gene regulatory networks. (English) Zbl 1341.92044 Math. Biosci. 276, 82-100 (2016). MSC: 92D10 92C42 PDFBibTeX XMLCite \textit{F. Antoneli} et al., Math. Biosci. 276, 82--100 (2016; Zbl 1341.92044) Full Text: DOI arXiv
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
Oprisan, Sorinel Adrian Local linear approximation of the Jacobian matrix better captures phase resetting of neural limit cycle oscillators. (English) Zbl 1415.92021 Neural Comput. 26, No. 1, 132-157 (2014). MSC: 92B20 92C20 PDFBibTeX XMLCite \textit{S. A. Oprisan}, Neural Comput. 26, No. 1, 132--157 (2014; Zbl 1415.92021) Full Text: DOI
Brown, Laura E.; King, John R.; Loose, Matt Two different network topologies yield bistability in models of mesoderm and anterior mesendoderm specification in amphibians. (English) Zbl 1412.92116 J. Theor. Biol. 353, 67-77 (2014). MSC: 92C42 92D10 92C15 PDFBibTeX XMLCite \textit{L. E. Brown} et al., J. Theor. Biol. 353, 67--77 (2014; Zbl 1412.92116) Full Text: DOI
Ge, Juhong; Xu, Jian An efficient method for studying fold-Hopf bifurcation in delayed neural networks. (English) Zbl 1248.34106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1393-1406 (2011). MSC: 34K18 92B20 34K20 34K13 34K21 PDFBibTeX XMLCite \textit{J. Ge} and \textit{J. Xu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1393--1406 (2011; Zbl 1248.34106) Full Text: DOI
Aguiar, M.; Ashwin, P.; Dias, A.; Field, M. Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation. (English) Zbl 1254.37053 J. Nonlinear Sci. 21, No. 2, 271-323 (2011). Reviewer: Angela Slavova (Sofia) MSC: 37N25 37C29 34K60 PDFBibTeX XMLCite \textit{M. Aguiar} et al., J. Nonlinear Sci. 21, No. 2, 271--323 (2011; Zbl 1254.37053) Full Text: DOI Link
Terman, D.; Lee, E.; Rinzel, J.; Bem, T. Stability of anti-phase and in-phase locking by electrical coupling but not fast inhibition alone. (English) Zbl 1244.34065 SIAM J. Appl. Dyn. Syst. 10, No. 3, 1127-1153 (2011). Reviewer: Carlo Laing (Auckland) MSC: 34C26 92B25 92B20 34C15 34E15 PDFBibTeX XMLCite \textit{D. Terman} et al., SIAM J. Appl. Dyn. Syst. 10, No. 3, 1127--1153 (2011; Zbl 1244.34065) Full Text: DOI
Sen, S. Murat; Bagci, E. Zerrin; Camurdan, Mehmet C. Bistability analysis of an apoptosis model in the presence of nitric oxide. (English) Zbl 1220.92018 Bull. Math. Biol. 73, No. 8, 1952-1968 (2011). MSC: 92C37 92C45 PDFBibTeX XMLCite \textit{S. M. Sen} et al., Bull. Math. Biol. 73, No. 8, 1952--1968 (2011; Zbl 1220.92018) Full Text: DOI
Middleton, A. M.; King, J. R.; Bennett, M. J.; Owen, M. R. Mathematical modelling of the \(Aux/IAA\) negative feedback loop. (English) Zbl 1198.92005 Bull. Math. Biol. 72, No. 6, 1383-1407 (2010). MSC: 92C15 92C42 92C45 92C37 37N25 PDFBibTeX XMLCite \textit{A. M. Middleton} et al., Bull. Math. Biol. 72, No. 6, 1383--1407 (2010; Zbl 1198.92005) Full Text: DOI
Ly, Cheng; Ermentrout, G. Bard Analysis of recurrent networks of pulse-coupled noisy neural oscillators. (English) Zbl 1200.90036 SIAM J. Appl. Dyn. Syst. 9, No. 1, 113-137 (2010). Reviewer: Yuri V. Rogovchenko (Umeå) MSC: 90B15 34C15 37N25 92B20 92C20 PDFBibTeX XMLCite \textit{C. Ly} and \textit{G. B. Ermentrout}, SIAM J. Appl. Dyn. Syst. 9, No. 1, 113--137 (2010; Zbl 1200.90036) Full Text: DOI
Milton, J.; Naik, P.; Chan, C.; Campbell, S. A. Indecision in neural decision making models. (English) Zbl 1402.92025 Math. Model. Nat. Phenom. 5, No. 2, 125-145 (2010). MSC: 92B20 91B06 34K20 PDFBibTeX XMLCite \textit{J. Milton} et al., Math. Model. Nat. Phenom. 5, No. 2, 125--145 (2010; Zbl 1402.92025) Full Text: DOI EuDML
Middleton, Alistair M.; King, John R.; Loose, Matt Bistability in a model of mesoderm and anterior mesendoderm specification in Xenopus laevis. (English) Zbl 1402.92055 J. Theor. Biol. 260, No. 1, 41-55 (2009). MSC: 92C15 92C40 PDFBibTeX XMLCite \textit{A. M. Middleton} et al., J. Theor. Biol. 260, No. 1, 41--55 (2009; Zbl 1402.92055) Full Text: DOI
Song, Yongli; Tadé, Moses O.; Zhang, Tonghua Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling. (English) Zbl 1171.34058 Nonlinearity 22, No. 5, 975-1001 (2009). Reviewer: Angela Slavova (Sofia) MSC: 34K60 92B20 34K20 37G40 34K18 34K19 34K13 PDFBibTeX XMLCite \textit{Y. Song} et al., Nonlinearity 22, No. 5, 975--1001 (2009; Zbl 1171.34058) Full Text: DOI
Chandrasekaran, Lakshmi; Matveev, Victor; Bose, Amitabha Multistability of clustered states in a globally inhibitory network. (English) Zbl 1157.92005 Physica D 238, No. 3, 253-263 (2009). MSC: 92C20 37N25 92C37 PDFBibTeX XMLCite \textit{L. Chandrasekaran} et al., Physica D 238, No. 3, 253--263 (2009; Zbl 1157.92005) Full Text: DOI
Podvigina, Olga; Ashwin, Peter The \(1:\sqrt 2\) mode interaction and heteroclinic networks in Boussinesq convection. (English) Zbl 1141.76453 Physica D 234, No. 1, 23-48 (2007). MSC: 76R05 37G40 37N10 76E06 PDFBibTeX XMLCite \textit{O. Podvigina} and \textit{P. Ashwin}, Physica D 234, No. 1, 23--48 (2007; Zbl 1141.76453) Full Text: DOI Link
Wyller, John; Blomquist, Patrick; Einevoll, Gaute T. Turing instability and pattern formation in a two-population neuronal network model. (English) Zbl 1104.92011 Physica D 225, No. 1, 75-93 (2007). MSC: 92C20 45K05 92B20 45M10 PDFBibTeX XMLCite \textit{J. Wyller} et al., Physica D 225, No. 1, 75--93 (2007; Zbl 1104.92011) Full Text: DOI
Xu, Xu; Hu, Haiyan; Wang, Huailei Dynamics of a two-dimensional delayed small-world network under delayed feedback control. (English) Zbl 1129.34053 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3257-3273 (2006). Reviewer: Mingshu Peng (Beijing) MSC: 34K60 34K23 93B52 34K18 34K20 34K35 PDFBibTeX XMLCite \textit{X. Xu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 11, 3257--3273 (2006; Zbl 1129.34053) Full Text: DOI
Campbell, Sue Ann; Edwards, R.; van den Driessche, P. Delayed coupling between two neural network loops. (English) Zbl 1072.92003 SIAM J. Appl. Math. 65, No. 1, 316-335 (2004). MSC: 92B20 34K20 34K18 92C20 PDFBibTeX XMLCite \textit{S. A. Campbell} et al., SIAM J. Appl. Math. 65, No. 1, 316--335 (2004; Zbl 1072.92003) Full Text: DOI