Title: THE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTING
Abstract: Bursting, pp. 3-18 (2005) No AccessTHE DEVELOPMENT OF THE HINDMARSH-ROSE MODEL FOR BURSTINGJim Hindmarsh and Philip CorneliusJim HindmarshCardiff School of Mathematics, Cardiff University, Senghenydd Road, Cardiff CF24 4AG, Wales, UK and Philip CorneliusCardiff School of Mathematics, Cardiff University, Senghenydd Road, Cardiff CF24 4AG, Wales, UKhttps://doi.org/10.1142/9789812703231_0001Cited by:6 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail Abstract: We review the development of the Hindmarsh-Rose equations of 1982 and 1984. After a brief description of bifurcations in a model for subthreshold oscillations, that can generate bursting, we show that similar bifurcations will not be found in the Hindmarsh-Rose nor in other similar equations. FiguresReferencesRelatedDetailsCited By 6Identifying Influential Nodes in a Network Model of EpilepsyJoseph Emerson, Amber Afelin, Viesulas Sliupas and Christian G. Fink13 April 2019 | Journal of Nonlinear Science, Vol. 30, No. 5Different synaptic connections evoke different firing patterns in neurons subject to an electromagnetic fieldNazanin Zandi-Mehran, Sajad Jafari, Seyed Mohammad Reza Hashemi Golpayegani, Fahimeh Nazarimehr and Matjaž Perc30 March 2020 | Nonlinear Dynamics, Vol. 100, No. 2Neural networks: An overview of early research, current frameworks and new challengesAlberto Prieto, Beatriz Prieto, Eva Martinez Ortigosa, Eduardo Ros and Francisco Pelayo et al.1 Nov 2016 | Neurocomputing, Vol. 214Canards and curvature: nonsmooth approximation by pinchingM Desroches and M R Jeffrey15 April 2011 | Nonlinearity, Vol. 24, No. 5On the dynamics of chaotic spiking-bursting transition in the Hindmarsh–Rose neuronG. Innocenti and R. Genesio1 Jun 2009 | Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 19, No. 2Synchronization in Networks of Hindmarsh–Rose NeuronsPaolo Checco, Marco Righero, Mario Biey and Ljupco Kocarev1 Dec 2008 | IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 55, No. 12 BurstingMetrics Downloaded 6 times History PDF download
Publication Year: 2005
Publication Date: 2005-10-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
Access and Citation
Cited By Count: 15
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