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Characteristics of Period-Adding Bursting Bifurcation Without Chaos in the Chay Neuron Model |
| YANG Zhuo-Qin1,2;LU Qi-Shao1 |
| 1School of Science, Beijing University of Aeronautics and Astronautics, Beijing 100083
2LIMB of MOE, Beijing University of Aeronautics and Astronautics, Beijing 100083 |
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| Cite this article: |
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YANG Zhuo-Qin, LU Qi-Shao 2004 Chin. Phys. Lett. 21 2124-2127 |
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Abstract A period-adding bursting sequence without bursting-chaos in the Chay neuron model is studied by bifurcation analysis. The genesis of each periodic bursting is separately evoked by the corresponding periodic spiking patterns through two period-doubling bifurcations, except for the period-1 bursting occurring via Hopf bifurcation. Hence, it is concluded that this period-adding bursting bifurcation without chaos has a compound bifurcation structure closely related to period-doubling bifurcations of periodic spiking in essence.
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| Keywords:
05.45.-a
82.40.Bj
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Published: 01 November 2004
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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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