一个钙振荡模型的分支分析
Bifurcation Analysis of a Calcium Oscillation Model
作者: 申屠旻 , 常 玉 ：北京化工大学理学院，数学系，北京;
关键词: 分支； 中心流形； 钙振荡； Bifurcation； The Center Manifold； Calcium Oscillation
摘要:Abstract: The bifurcation of a calcium oscillation model is investigated by applying the center manifold theorem and the bifurcation theory. We theoretically analyze the existence of Hopf bifurcation. The numerical analysis results suggest that the quasi-periodic oscillation in this model results from torus bifurcation. Numerical simulation also shows some new complex dynamics, such as torus bifurcation and cyclic fold bifurcation which are different from the results before.
文章引用: 申屠旻 , 常 玉 (2015) 一个钙振荡模型的分支分析。 应用数学进展， 4， 7-14. doi: 10.12677/AAM.2015.41002
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