Multiple Bifurcations of Critical Period for a Quartic Kolmogorov Model

被引:0
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作者
Chao-xiong Du
Wen-tao Huang
机构
[1] Changsha Normal University,School of Mathematics
[2] Guangxi Normal University,School of Mathematics and Statistics
关键词
singular values; weak center; periodic constants; bifurcation of critical period; 34C07;
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摘要
Our work is concerned with the bifurcation of critical period for a quartic Kolmogorov system. By computing the periodic constants carefully, we show that point (1,1) can be a weak center of fourth order, and the weak centers condition is given. Moreover, point (1,1) can bifurcate 4 critical periods under a certain condition. In terms of multiple bifurcation of critical periodic problem for Kolmogorov model, studied results are less seen, our work is good and interesting.
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页码:673 / 681
页数:8
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