Bursting oscillation and bifurcation mechanism in fractional-order Brusselator with two different time scales
Bursting oscillation and bifurcation mechanism in fractional-order Brusselator with two different time scales
复制标题
两种不同时间尺度分数阶Brusselator的突发振荡和分叉机制
DOI：
10.21595/jve.2017.18109
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发表时间：
2017-03
影响因子：
1
通讯作者：
Jingyu Hou
中科院分区：
文献类型：
--
作者：
Chen Jufeng;Xianghong Li;Jingyu Hou
The integer-order and fractional-order Brusselators with two different time scales are studied. The double-Hopf bursting oscillation is observed in Brusselator with periodic perturbation under some parameter conditions. Based on slow-fast analysis and bifurcation theory, the generation mechanism of periodic bursting oscillation is presented in detail. Further investigation finds that the perturbation amplitude plays an important role on bursting oscillation. With the decrease of perturbation amplitude, the attractor types will be changed, so that the bi-stability evolves into single stability. It causes that four times transitions between spiking and quiescent states may decrease to twice one, and the spiking state disappears finally. Furthermore, the influence of the fractional order on bursting behavior is investigated, and the bifurcation diagram with respect to fractional order and slow variable is given. With the decrease of fractional order, the two Hopf bifurcation points may approach each other gradually, overlap and disappear finally, which results into the transition from periodic bursting oscillation with different frequency ingredients into generally periodic oscillation with single frequency.
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影响因子：
2.9
作者：
Xiao-jun Yang;J. T. Tenreiro Machado;D. Baleanu;C. Cattani
通讯作者：
Xiao-jun Yang;J. T. Tenreiro Machado;D. Baleanu;C. Cattani
DOI：
10.1007/bfb0074739
发表时间：
1985
期刊：
--
影响因子：
--
作者：
J. Rinzel
通讯作者：
J. Rinzel
DOI：
10.1016/j.physd.2005.09.012
发表时间：
2005-12
期刊：
Physica D: Nonlinear Phenomena
影响因子：
--
作者：
Tianshou Zhou;Changpin Li
通讯作者：
Tianshou Zhou;Changpin Li
影响因子：
1.9
作者：
BAER, SM;ERNEUX, T;RINZEL, J
通讯作者：
RINZEL, J
影响因子：
7.8
作者：
Gu, Bin;Sheng, Victor S.;Li, Shuo
通讯作者：
Li, Shuo