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CHAOTIC ITINERANCY AS A MECHANISM OF IRREGULAR CHANGES BETWEEN SYNCHRONIZATION AND DESYNCHRONIZATION IN A NEURAL NETWORK

2004; Imperial College Press; Volume: 03; Issue: 02 Linguagem: Inglês

10.1142/s021963520400049x

1757-448X

Ichiro Tsuda, Hiroshi Fujii, Satoru Tadokoro, Takuo Yasuoka, Yutaka Yamaguti,

Nonlinear Dynamics and Pattern Formation

Journal of Integrative NeuroscienceVol. 03, No. 02, pp. 159-182 (2004) Research ReportsNo AccessCHAOTIC ITINERANCY AS A MECHANISM OF IRREGULAR CHANGES BETWEEN SYNCHRONIZATION AND DESYNCHRONIZATION IN A NEURAL NETWORKICHIRO TSUDA, HIROSHI FUJII, SATORU TADOKORO, TAKUO YASUOKA, and YUTAKA YAMAGUTIICHIRO TSUDA Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan, HIROSHI FUJII Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, JapanDepartment of Information and Communication Sciences, Kyoto Sangyo University, Kyoto 603-8555, Japan, SATORU TADOKORO Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan, TAKUO YASUOKA Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan, and YUTAKA YAMAGUTI Department of Mathematics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japanhttps://doi.org/10.1142/S021963520400049XCited by:47 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractWe investigate the dynamic character of a network of electrotonically coupled cells consisting of class I point neurons, in terms of a finite dimensional dynamical system. We classify a subclass of class I point neurons, called class I* point neurons. Based on this classification, we use a reduced Hindmarsh-Rose (H-R) model, which consists of two dynamical variables, to construct a network model consisting of electrotonically coupled H-R neurons. Although biologically simple, the system is sufficient to extract the essence of the complex dynamics, which the system may yield under certain physiological conditions. The network model produces a transitory behavior as well as a periodic motion and spatio-temporal chaos. The transitory dynamics that the network model exhibits is shown numerically to be chaotic itinerancy. The transitions appear between various metachronal waves and all-synchronization states. The network model shows that this transitory dynamics can be viewed as a chaotic switch between synchronized and desynchronized states. 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Tsuda Recommended Vol. 03, No. 02 Metrics History Received 25 June 2003 Accepted 13 December 2003 KeywordsGap junction-coupled systemclass I* neuronsdynamic cell assemblychaotic itinerancyMilnor attractormetachronal wavessynchronizationPDF download