Theorems and Application of Local Activity of CNN with Five State Variables and One Port
Joint Authors
Yang, Thomas
Xie, Li
Xiong, Gang
Dong, Xisong
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-04-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (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،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-489484
Modern Language Association (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 No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-489484
American Medical Association (AMA)
Xiong, Gang& Dong, Xisong& Xie, Li& Yang, Thomas. Theorems and Application of Local Activity of CNN with Five State Variables and One Port. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-489484
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489484