Chaos analysis and synchronization control of coronary artery systems
type: Item
instance of: scholarly article
title: Chaos analysis and synchronization control of coronary artery systems
zbMATH Open document ID: 1341.93008
DOI: 10.1155/2013/209718
author: Cheng-Chi Wang
author: Her-Terng Yau
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: The present study uses the differential transformation method to solve the governing equations of the coronary artery system and then analyzes the dynamic behavior of the system by means of phase portraits, power spectra, bifurcation diagrams, and Poincaré maps. Also, a master-slave control system is proposed to suppress the nonlinear chaotic behavior of the coronary artery system. The results show that the dynamic behavior of the coronary artery system is significantly dependent on the magnitude of the vibrational amplitude. Specifically, the motion changes from \(T\)-periodic to \(2T\)-periodic, then from \(4T\)-periodic to \(8T\)-periodic, and finally to chaotic motion with windows of periodic motion as the vibrational amplitude is increased from 0.3 to 0.6 and from 4.5 to 5.9. In addition, it is shown that the proposed control scheme enables the coronary artery system to be synchronized to any state asymptotically such that the risk of cardiopathy is reduced.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 34H10
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 6306532
zbMATH Keywords: coronary artery systems
zbMATH Keywords: nonlinear chaotic behaviot
zbMATH Keywords: synchronization control
Wikidata QID: Q58915563
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/209718
OpenAlex ID: W2031345790
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description: scientific article; zbMATH DE number 6306532