Bifurcations and multistability in the extended Hindmarsh-Rose neuronal oscillator
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- 作者：E.B. Megam Ngouonkadi ; a ; elyemegambertrhand@yahoo.fr" class="auth_mail" title="E-mail the corresponding author ; megam.bertrand89@gmail.com" class="auth_mail" title="E-mail the corresponding author ; H.B. Fotsina ; P. Louodop Fotsoa ; b ; V. Kamdoum Tambaa ; Hilda A. Cerdeirab
- 关键词：Hopf bifurcation ; Hindmarsh&ndash ; Rose oscillator ; Periodic solution ; Bifurcation diagram ; Multistability ; Crisis
- 刊名：Chaos, Solitons & Fractals
- 出版年：2016
- 出版时间：April 2016
- 年：2016
- 卷：85
- 期：Complete
- 页码：151-163
- 全文大小：2343 K
文摘
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We investigate the bifurcation and multistability in the extended Hindmarsh–Rose neuronal oscillator.
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With the help of the normal form theory, we analyze the emergence and the direction of the Hopf bifurcation.
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We also find that the extended Hindmarsh–Rose presents the multistability of oscillatory and silent regimes.
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The results are helpful for enhancing our knowing on the way by which the neuronal system works, and encodes information.