A wavelet-based tool for studying non-periodicity

@article{Bentez2010AWT,
  title={A wavelet-based tool for studying non-periodicity},
  author={R. Ben{\'i}tez and V. J. Bol{\'o}s and M. E. Ram{\'i}rez},
  journal={Computers & Mathematics with Applications},
  year={2010},
  volume={60},
  pages={634-641}
}
This paper presents a new numerical approach to the study of non-periodicity in signals, which can complement the maximal Lyapunov exponent method for determining chaos transitions of a given dynamical system. The proposed technique is based on the continuous wavelet transform and the wavelet multiresolution analysis. A new parameter, the scale index, is introduced and interpreted as a measure of the degree of the signal’s non-periodicity. This methodology is successfully applied to three… CONTINUE READING

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