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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 |
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| Cite this article: |
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DUAN Li-Xia, LU Qi-Shao 2005 Chin. Phys. Lett. 22 1325-1328 |
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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.
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| Keywords:
05.45.-a
82.40.Bj
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Published: 01 June 2005
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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