Theorems and Application of Local Activity of CNN with Five State Variables and One Port
Xiong, Gang1; Dong, Xisong1; Xie, Li2; Yang, Thomas3
Source PublicationCOMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
2012
Pages1-12
SubtypeArticle
AbstractCoupled 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 HeadingsScience & Technology ; Life Sciences & Biomedicine
WOS KeywordCELLULAR NEURAL-NETWORKS ; ANALYTICAL CRITERIA ; ACTIVITY DOMAIN ; COMPLEXITY ; MODEL ; EQUATION ; 2-PORT ; DELAYS ; CHAOS ; EDGE
Indexed BySCI
Language英语
WOS Research AreaMathematical & Computational Biology
WOS SubjectMathematical & Computational Biology
WOS IDWOS:000303757700001
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/3602
Collection复杂系统管理与控制国家重点实验室_先进控制与自动化
Affiliation1.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
First Author AffilicationInstitute of Automation, Chinese Academy of Sciences
Recommended Citation
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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