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

Meng Jia, Yangyu Fan, Weijian Tian, Jiong Zhao

科研成果: 书/报告/会议事项章节会议稿件同行评审

摘要

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.

源语言英语
主期刊名Proceedings - 2010 International Workshop on Chaos-Fractal Theories and Applications, IWCFTA 2010
379-382
页数4
DOI
出版状态已出版 - 2010
活动3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010 - Kunming, Yunnan, 中国
期限: 29 10月 201031 10月 2010

出版系列

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

会议

会议3rd International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2010
国家/地区中国
Kunming, Yunnan
时期29/10/1031/10/10

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