The chaos model analysis based on time-varying fractal dimension

  • Authors:

  • Jianrong Hou;Dan Huang;Hui Zhao

  • Affiliations:

  • School of Management, Shanghai Jiaotong University, Shanghai, China;School of Management, Shanghai Jiaotong University, Shanghai, China;Software Engineering Institute, East China Normal University, Shanghai, China

  • Venue:
  • LSMS'07 Proceedings of the 2007 international conference on Life System Modeling and Simulation
  • Year:
  • 2007

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Abstract

An evaluation formula of varying-time Hurst index is established by wavelet and the algorithm of varying-time index is presented, which is applied to extract the characteristics of the atrial fibrillation in this paper. The diagnosis of atrial fibrillation curve figure can be done at some resolution ratio level. The results show that the time-varying fractal dimension rises when atrial fibrillation begins, while it falls when atrial fibrillation ends. The begin and the end characteristics of atrial fibrillation can be successfully detected by means of the change of the time-varying fractal dimension. The result also indicates that the complexity of heart rate variability (HRV) decreases at the beginning of atrial fibrillation.