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

doi:10.1007/s10884-014-9413-y

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	Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation
	Chen, Xianwei 1; Yuan, Shaoliang 2; Jing, Zhujun 3; Fu, Xiangling 1
	2016-03-01
发表期刊	JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
ISSN	1040-7294
卷号	28 期号:1 页码:281-299
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.
关键词	Tissue inflammation Fold bifurcation Flip bifurcation Hopf bifurcation Marotto's chaos
DOI	10.1007/s10884-014-9413-y
语种	英语
资助项目	National Natural Science Foundation of China[11361067]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000369245900013
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21939
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.