| Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations |
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| 引用本文： | Zhi-congLiu Bei-yeFeng. Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations[J]. 应用数学学报(英文版), 2004, 20(4): 573-578. DOI: 10.1007/s10255-004-0194-7 |
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| 作者姓名： | Zhi-congLiu Bei-yeFeng |
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| 作者单位： | AcademyofMathematicsandSystemsSciences,ChineseAcademyofSciences,Beijing100080,China |
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| 摘 要： | In this paper, we give a rigorous mathematical and complete parameter analysis for the rheodynamic model of cardiac and obtain the conditions and parameter region for global existence and uniqueness of limit cycle and the global bifurcation diagram of limit cycles. We also discuss the resonance phenomenons of the perturbed system.
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| 关 键 词： | 流变动力学 心脏压力脉动 有限循环 数学模型 周期解 偏微分方程 |
| 收稿时间： | 2002-11-19 |
Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations |
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| Zhi-cong Liu,Bei-ye Feng. Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations[J]. Acta Mathematicae Applicatae Sinica, 2004, 20(4): 573-578. DOI: 10.1007/s10255-004-0194-7 |
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| Authors: | Zhi-cong Liu Bei-ye Feng |
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| Affiliation: | (1) Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | Abstract In this paper, we give a rigorous mathematical and complete parameter analysis for the rheodynamic model of cardiac and obtain the conditions and parameter region for global existence and uniqueness of limit cycle and the global bifurcation diagram of limit cycles. We also discuss the resonance phenomenons of the perturbed system. Supported by the National Natural Science Foundation of China (No.10171099). |
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| Keywords: | Rheodynamic model cardiac pressure pulsations limit cycle |
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