Chaos and control in coronary artery system
Summary: Two types of coronary artery systems, N-type and S-type, are investigated. Threshold conditions for the occurrence of Smale horseshoe chaos are obtained by using the Melnikov method. Numerical simulations including phase portraits, potential diagrams, homoclinic bifurcation curve diagrams, bifurcation diagrams, and Poincaré maps not only prove the correctness of the theoretical analysis but also show 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 motions. Finally the chaotic states of the two systems are effectively controlled by two control methods: variable feedback control and coupled feedback control.
scientific article; zbMATH DE number 6014535