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2013 Chaos Analysis and Synchronization Control of Coronary Artery Systems
Cheng-Chi Wang, Her-Terng Yau
Abstr. Appl. Anal. 2013(SI41): 1-11 (2013). DOI: 10.1155/2013/209718

Abstract

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 2 T -periodic, then from 4 T -periodic to 8 T -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.

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Cheng-Chi Wang. Her-Terng Yau. "Chaos Analysis and Synchronization Control of Coronary Artery Systems." Abstr. Appl. Anal. 2013 (SI41) 1 - 11, 2013. https://doi.org/10.1155/2013/209718

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1341.93008
MathSciNet: MR3129326
Digital Object Identifier: 10.1155/2013/209718

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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