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

文献类型：期刊论文

作者Chen, Xianwei1; Yuan, Shaoliang2; Jing, Zhujun3; Fu, Xiangling1
刊名JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
出版日期2016-03-01
卷号28期号:1页码:281-299
关键词Tissue inflammation Fold bifurcation Flip bifurcation Hopf bifurcation Marotto's chaos
ISSN号1040-7294
DOI10.1007/s10884-014-9413-y
英文摘要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.
资助项目National Natural Science Foundation of China[11361067]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000369245900013
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21938]  
专题中国科学院数学与系统科学研究院
通讯作者Chen, Xianwei
作者单位1.Hunan Univ Sci & Technol, Sch Math & Computat Sci, Xiangtan 411201, Peoples R China
2.Yichun Univ, Coll Math & Comp Sci, Yichun 336000, Jiangxi, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Xianwei,Yuan, Shaoliang,Jing, Zhujun,et al. Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,2016,28(1):281-299.
APA Chen, Xianwei,Yuan, Shaoliang,Jing, Zhujun,&Fu, Xiangling.(2016).Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation.JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS,28(1),281-299.
MLA Chen, Xianwei,et al."Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation".JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 28.1(2016):281-299.

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来源：数学与系统科学研究院

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