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Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations

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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.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, 100080, China

    Zhi-cong Liu & Bei-ye Feng

Authors
  1. Zhi-cong Liu
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  2. Bei-ye Feng
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Supported by the National Natural Science Foundation of China (No.10171099).

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Liu, Zc., Feng, By. Qualitative Analysis for Rheodynamic Model of Cardiac Pressure Pulsations. Acta Mathematicae Applicatae Sinica, English Series 20, 573–578 (2004). https://doi.org/10.1007/s10255-004-0194-7

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  • DOI: https://doi.org/10.1007/s10255-004-0194-7

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