Codimension-Two Bifurcation Analysis in Hindmarsh--Rose Model with Two Parameters
DUAN Li-Xia, LU Qi-Shao
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
Codimension-Two Bifurcation Analysis in Hindmarsh--Rose Model with Two Parameters
DUAN Li-Xia;LU Qi-Shao
School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
关键词 ：
05.45.-a ,
82.40.Bj
Abstract ： Bifurcation phenomena in a Hindmarsh--Rose neuron model are investigated. Special attention is paid to the bifurcation structures of two parameters, where codimension-two generalized-Hopf bifurcation and fold-Hopf bifurcation occur. The classification of firing patterns as well as the transition mechanism in different regions on the parameter plane are obtained.
Key words ：
05.45.-a
82.40.Bj
出版日期: 2005-06-01
:
05.45.-a
(Nonlinear dynamics and chaos)
82.40.Bj
(Oscillations, chaos, and bifurcations)
引用本文:
DUAN Li-Xia;LU Qi-Shao. Codimension-Two Bifurcation Analysis in Hindmarsh--Rose Model with Two Parameters[J]. 中国物理快报, 2005, 22(6): 1325-1328.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2005/V22/I6/1325
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