The computation of two-dimensional manifold for Hindmarsh-Rose neuron model

Meng Jia, Yangyu Fan, Weijian Tian, Jiong Zhao

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The Hindmarsh-Rose (HR) Neuron not only contained the features of cell biological physical model, but also included the traits of non-linear dynamical system model. The paper analyzed the HR model by computing manifold. It computed the equilibria, simulated the bifurcation phenomenon of the parameters, estimated the unstable local manifold and computed the global manifold using the angle constraint method. The simulation results showed the trend of the unstable manifold and the distribution of the trajectories. It offered good results to study the chaos phenomenon of the HR mode.

Original languageEnglish
Title of host publicationProceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010
Pages379-382
Number of pages4
DOIs
StatePublished - 2010
Event3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 - Kunming, Yunnan, China
Duration: 29 Oct 201031 Oct 2010

Publication series

NameProceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010

Conference

Conference3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010
Country/TerritoryChina
CityKunming, Yunnan
Period29/10/1031/10/10

Keywords

  • Chaos
  • Manifold
  • Non-linear system

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