Chaos and Control in Coronary Artery System
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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/631476 |
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| _version_ | 1832552376327733248 |
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| author | Yanxiang Shi |
| author_facet | Yanxiang Shi |
| author_sort | Yanxiang Shi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9b17d6739e55487f8acf400c9bef159e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9b17d6739e55487f8acf400c9bef159e2025-02-03T05:58:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/631476631476Chaos and Control in Coronary Artery SystemYanxiang Shi0School of Mathematical Sciences, Shanxi University, Taiyuan 030006, ChinaTwo 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.http://dx.doi.org/10.1155/2012/631476 |
| spellingShingle | Yanxiang Shi Chaos and Control in Coronary Artery System Discrete Dynamics in Nature and Society |
| title | Chaos and Control in Coronary Artery System |
| title_full | Chaos and Control in Coronary Artery System |
| title_fullStr | Chaos and Control in Coronary Artery System |
| title_full_unstemmed | Chaos and Control in Coronary Artery System |
| title_short | Chaos and Control in Coronary Artery System |
| title_sort | chaos and control in coronary artery system |
| url | http://dx.doi.org/10.1155/2012/631476 |
| work_keys_str_mv | AT yanxiangshi chaosandcontrolincoronaryarterysystem |