Session: 07-02-01: Nonlinear Dynamics, Control, and Stochastic Mechanics

Paper Number: 113119

113119 - Dynamic Prediction of Waveform Sequences in a Heartbeating Model 

In this paper, a phenomenological model for heartbeat consisting of two coupled Van der Pol oscillators is investigated. The numerical solution and numerical bifurcation diagram of the model are analyzed and obtained based on the Midpoint integration method. Then Van der Pol oscillators is discretized to obtain implicit discrete mappings. From the implicit mapping structures, periodic motions varying with excitation frequency are obtained, and the corresponding stability and bifurcation are obtained by eigenvalue analysis. The heartbeating waveform evolution is investigated and the corresponding stability switching is achieved. Improper beating frequency ranges are noted and warned during this research. The frequency-amplitude characteristics of periodic motions are also presented. Thus, from the analytical prediction, numerical simulations of periodic motions are performed for comparison of numerical and analytical results. The dynamics study in this paper is useful for providing optimal electrical stimulation scheme and data in clinical practice.

 

In this paper, a phenomenological model for heartbeat consisting of two coupled Van der Pol oscillators is investigated. The numerical solution and numerical bifurcation diagram of the model are analyzed and obtained based on the Midpoint integration method. Then Van der Pol oscillators is discretized to obtain implicit discrete mappings. From the implicit mapping structures, periodic motions varying with excitation frequency are obtained, and the corresponding stability and bifurcation are obtained by eigenvalue analysis. The heartbeating waveform evolution is investigated and the corresponding stability switching is achieved. Improper beating frequency ranges are noted and warned during this research. The frequency-amplitude characteristics of periodic motions are also presented. Thus, from the analytical prediction, numerical simulations of periodic motions are performed for comparison of numerical and analytical results. The dynamics study in this paper is useful for providing optimal electrical stimulation scheme and data in clinical practice.

 

In this paper, a phenomenological model for heartbeat consisting of two coupled Van der Pol oscillators is investigated. The numerical solution and numerical bifurcation diagram of the model are analyzed and obtained based on the Midpoint integration method. Then Van der Pol oscillators is discretized to obtain implicit discrete mappings. From the implicit mapping structures, periodic motions varying with excitation frequency are obtained, and the corresponding stability and bifurcation are obtained by eigenvalue analysis. The heartbeating waveform evolution is investigated and the corresponding stability switching is achieved. Improper beating frequency ranges are noted and warned during this research. The frequency-amplitude characteristics of periodic motions are also presented. Thus, from the analytical prediction, numerical simulations of periodic motions are performed for comparison of numerical and analytical results. The dynamics study in this paper is useful for providing optimal electrical stimulation scheme and data in clinical practice.

Presenting Author: Xinya Wang Xi'an Jiaotong University

Presenting Author Biography: Yeyin Xu is an assistant Professor in Xi'an Jiaotong Universty.
Xinya Wang is an undergraduate student in Xi'an Jiaotong Universty.
Tieyan Wang is a research in Baichen Meteorological Bureau.
Yinghou Jiao is a Professor in Harbin Institute of Technology.
zhaobo Chen is a Professor in Harbin Institute of Technology.

Authors:

Xinya Wang Xi'an Jiaotong University
Yeyin Xu Xi'an Jiaotong University
Tieyan Wang BaiCheng Meteorological Observatory
Yinghou Jiao Harbin Institute of Technology
Zhaobo Chen Harbin Institute of Technology