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dc.contributor.authorKeplinger, Keegan
dc.date.accessioned2020-10-09T16:22:35Z
dc.date.available2020-10-09T16:22:35Z
dc.date.issued2012-12
dc.identifier.urihttp://hdl.handle.net/11122/11318
dc.descriptionThesis (M.S.) University of Alaska Fairbanks, 2012en_US
dc.description.abstractTransient spatiotemporal dynamics exists in an electrically coupled Morris-Lecar neuronal ring network, a theoretical model of an axo-axonic gap junction network. The lifetime of spatiotemporal chaos was found to grow exponentially with network size. Transient dynamics regularly collapses from a chaotic state to either the resting potential or a traveling pulse, indicating the existence of a chaotic saddle. For special conditions, a chaotic attractor can arise in the Morris-Lecar network to which transient chaos can collapse. The short-term outcome of a Morris-Lecar ring network is determined as a function of perturbation configuration. Perturbing small clusters of nearby neurons in the network consistently induced chaos on a resting network. Perturbation on a chaotic network can induce collapse in the network, but transient chaos becomes more resistant to collapse by perturbation when greater external current is applied.en_US
dc.description.tableofcontents1. Introduction -- 1.1. The physics of neurons -- 1.2. Transient spatiotemporal chaos -- 1.3. Synopsis -- 2. Model -- 3. Transient spatiotemporal chaos -- 4. Perturbations on a network at rest -- 5. Perturbations on a nework in the neighborhood of the chaotic saddle -- 6. Conclusions -- 6.1. Outview -- Bibliography.en_US
dc.language.isoen_USen_US
dc.subjectchaotic behavior in systemsen_US
dc.subjectnonlinear theoriesen_US
dc.subjectneural circuitryen_US
dc.subjectneural networksen_US
dc.subjectneurobiologyen_US
dc.titleTransient spatiotemporal chaos in a Morris-Lecar neuronal ring network collapses to either the rest state or a traveling pulseen_US
dc.typeThesisen_US
dc.type.degreemsen_US
dc.identifier.departmentDepartment of Physicsen_US
refterms.dateFOA2020-10-09T16:22:35Z


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