Chaos and control in coronary artery system
type: Item
instance of: scholarly article
title: Chaos and control in coronary artery system
zbMATH Open document ID: 1233.92008
DOI: 10.1155/2012/631476
author: Yanxiang Shi
published in: Discrete Dynamics in Nature and Society
publication date: 2012-03-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92C30
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 65C20
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 92C35
zbMATH DE Number: 6014535
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/631476
OpenAlex ID: W2080471447
Wikidata QID: Q58700670
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description: scientific article; zbMATH DE number 6014535