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Chaos Analysis and Synchronization Control of Coronary Artery Systems

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  • Cheng-Chi Wang
  • Her-Terng Yau

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 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.

Suggested Citation

  • Cheng-Chi Wang & Her-Terng Yau, 2013. "Chaos Analysis and Synchronization Control of Coronary Artery Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:209718
    DOI: 10.1155/2013/209718
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    References listed on IDEAS

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    1. Wang, Cheng-Chi & Jang, Ming-Jyi & Yeh, Yen-Liang, 2007. "Bifurcation and nonlinear dynamic analysis of a flexible rotor supported by relative short gas journal bearings," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 566-582.
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