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
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
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.
YANG Zhuo-Qin;LU Qi-Shao. Characteristics of Period-Adding Bursting Bifurcation Without Chaos in the Chay Neuron Model[J]. 中国物理快报, 2004, 21(11): 2124-2127.
YANG Zhuo-Qin, LU Qi-Shao. Characteristics of Period-Adding Bursting Bifurcation Without Chaos in the Chay Neuron Model. Chin. Phys. Lett., 2004, 21(11): 2124-2127.
2004, Vol. 21 
