Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation

被引：1
|
作者：
Xianwei Chen
Shaoliang Yuan
Zhujun Jing
Xiangling Fu
机构：
[1] Hunan University of Science and Technology,School of Mathematics and Computational Science
[2] Yichun University,College of Mathematics and Computer Sciences
[3] Chinese Academy of Sciences,Academy of Mathematics and Systems Science
来源：
Journal of Dynamics and Differential Equations | 2016年 / 28卷
关键词：
Tissue inflammation; Fold bifurcation; Flip bifurcation; Hopf bifurcation; Marotto’s chaos;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the discrete-time mathematical model for tissue inflammation obtained by Euler is investigated in detail. Conditions of the existence for fold bifurcation, flip bifurcation and Hopf bifurcation are derived by using center manifold theorem and bifurcation theory, and chaos in the sense of Marotto is proved by analytical method. Numerical simulations, including bifurcation diagrams, Lyapunov exponents, fractal dimensions, and phase portraits are plotted to perfectly show the consistence with the theoretical analysis.
引用
收藏
页码：281 / 299
页数：18
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