Theorems and Application of Local Activity of CNN with Five State Variables and One Port

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	Theorems and Application of Local Activity of CNN with Five State Variables and One Port
	Xiong, Gang1 ; Dong, Xisong1 ; Xie, Li 2; Yang, Thomas 3
发表期刊	COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
	2012
页码	1-12
文章类型	Article
摘要	Coupled nonlinear dynamical systems have been widely studied recently. However, the dynamical properties of these systems are difficult to deal with. The local activity of cellular neural network (CNN) has provided a powerful tool for studying the emergence of complex patterns in a homogeneous lattice, which is composed of coupled cells. In this paper, the analytical criteria for the local activity in reaction-diffusion CNN with five state variables and one port are presented, which consists of four theorems, including a serial of inequalities involving CNN parameters. These theorems can be used for calculating the bifurcation diagram to determine or analyze the emergence of complex dynamic patterns, such as chaos. As a case study, a reaction-diffusion CNN of hepatitis B Virus (HBV) mutation-selection model is analyzed and simulated, the bifurcation diagram is calculated. Using the diagram, numerical simulations of this CNN model provide reasonable explanations of complex mutant phenomena during therapy. Therefore, it is demonstrated that the local activity of CNN provides a practical tool for the complex dynamics study of some coupled nonlinear systems.
WOS标题词	Science & Technology ; Life Sciences & Biomedicine
关键词[WOS]	CELLULAR NEURAL-NETWORKS ; ANALYTICAL CRITERIA ; ACTIVITY DOMAIN ; COMPLEXITY ; MODEL ; EQUATION ; 2-PORT ; DELAYS ; CHAOS ; EDGE
收录类别	SCI
语种	英语
WOS研究方向	Mathematical & Computational Biology
WOS类目	Mathematical & Computational Biology
WOS记录号	WOS:000303757700001
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.ia.ac.cn/handle/173211/3602
专题	多模态人工智能系统全国重点实验室_平行智能技术与系统团队
作者单位	1.Chinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China 2.Zhejiang Univ, Dept Informat Sci & Elect Engn, Hangzhou 310027, Peoples R China 3.Embry Riddle Aeronaut Univ, Dept Elect Comp Software & Syst Engn, Daytona Beach, FL 32114 USA
第一作者单位	中国科学院自动化研究所
推荐引用方式 GB/T 7714	Xiong, Gang,Dong, Xisong,Xie, Li,et al. Theorems and Application of Local Activity of CNN with Five State Variables and One Port[J]. COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,2012:1-12.
APA	Xiong, Gang,Dong, Xisong,Xie, Li,&Yang, Thomas.(2012).Theorems and Application of Local Activity of CNN with Five State Variables and One Port.COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE,1-12.
MLA	Xiong, Gang,et al."Theorems and Application of Local Activity of CNN with Five State Variables and One Port".COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE (2012):1-12.

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