Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 631476, 15 pages
Research Article

Chaos and Control in Coronary Artery System

School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China

Received 5 April 2011; Accepted 9 November 2011

Academic Editor: Vladimir Gontar

Copyright © 2012 Yanxiang Shi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Two types of coronary artery system N-type and S-type, are investigated. The threshold conditions for the occurrence of Smale horseshoe chaos are obtained by using Melnikov method. Numerical simulations including phase portraits, potential diagram, homoclinic bifurcation curve diagrams, bifurcation diagrams, and Poincaré maps not only prove the correctness of theoretical analysis but also show the interesting bifurcation diagrams and the more new complex dynamical behaviors. Numerical simulations are used to investigate the nonlinear dynamical characteristics and complexity of the two systems, revealing bifurcation forms and the road leading to chaotic motion. Finally the chaotic states of the two systems are effectively controlled by two control methods: variable feedback control and coupled feedback control.