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F. Takens, “On the Numerical Determination of the Dimension of an Attractor,” In: B. Braaksma, H. Braer, and F. Takens, Eds., Dynamical Systems and Bifurcations, Springer-Verlag, Berlin, 1985, pp. 99-106. doi:10.1007/BFb0075637

has been cited by the following article:

• TITLE: Age Dependence of the Menstrual Cycle Correlation Dimension

  AUTHORS: Gregory N. Derry, Paula S. Derry

  KEYWORDS: Perimenopause; Menstruation; Time Series Analysis; Chaos; Correlation Dimension; Menopause

  JOURNAL NAME: Open Journal of Biophysics, Vol.2 No.2, April 27, 2012

  ABSTRACT: Time series analysis, based on the idea that female reproductive endocrine physiology can be construed as a nonlinear dynamical system in a chaotic trajectory, is performed to measure the correlation dimension of the menstrual cycle data from subjects in two different age cohorts. The dimension is computed using a method proposed by Judd (Physica D, vol. 56, 1992, pp. 216-228) that does not assume the correlation dimension to be necessarily constant for all appropriate time scales of the system’s strange attractor. Significant time scale differences are found in the behavior of the dimension between the two age cohorts, but at the shortest time scales the correlation dimension converges to the same value, approximately 5.5, in both cases.