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Stability and Bifurcation Analysis of a Hindmarsh-Rose Neuronal Model With Time Delay

dc.contributor.authorAhmad, Salihu Jibril
dc.date.accessioned2022-08-25T11:28:13Z
dc.date.available2022-08-25T11:28:13Z
dc.date.issued2019-07-20
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/5061
dc.description2019 Theoretical and Applied Physics Maters Thesesen_US
dc.description.abstractIn this research work, we study and analyse Hindmarsh-Rose neuronal system with time delay. Considering the fast sub-system of the model, all the possible non-negative equilibria are obtained and their local as well as global behaviour are studied. Choosing delay as a bifurcation parameter, the existence of the Hopf bifurcation of the system has been investigated. Moreover, we use the Descartes’ sign rule, a powerful tool for real polynomials with constant coefficientsto determine the number of real zeroes of the polynomial function. Classifications of the imaginary roots of the characteristic equation were presented. Some numerical simulations are given to support the analytical results. Some interesting conclusions are obtained from the results obtained at the end of this work.en_US
dc.description.sponsorshipAUSTen_US
dc.language.isoenen_US
dc.publisherAUSTen_US
dc.subject2019 Theoretical and Applied Physicsen_US
dc.subjectAhmad Salihu jibrilen_US
dc.subjectHindmarsh-Rose modelen_US
dc.subjectneuronen_US
dc.subjecttime delayen_US
dc.subjectbifurcationen_US
dc.subjectDescartes’s sign ruleen_US
dc.subjectProf T. C. Kofaneen_US
dc.titleStability and Bifurcation Analysis of a Hindmarsh-Rose Neuronal Model With Time Delayen_US
dc.typeThesisen_US


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  • Theoretical and Applied Physics55

    This collection contains selected research work by Theoretical and Applied Physics Students at the master's level, from 2009-2022.

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