Dispersive graded entropy on computing dynamical complexity

Sayan Mukherjee, Santo Banerjee and Lamberto Rondoni

Physica A: Statistical Mechanics and its Applications, 2018, vol. 508, issue C, 131-140

Abstract: We propose a phase space based statistical disorder to investigate the dynamical complexity of chaotic models. The statistical disorder is defined by introducing a grade function, inversely maps the mean dispersion of the trajectories in the phase space. We denote the associate entropy by the dispersive graded entropy (DGE). Numerical investigation shows that DGE can quantify the dynamical complexity of discrete as well as continuous chaotic systems. A comparative study is also made with the other phase space based entropy measures. Finally, the proposed measure has been applied on three types of heart rate variability (HRV) signals. The results support the clinical observations related to the dynamics of healthy and congestive hearts.

Keywords: Nonlinear system; 0-1 test; Complexity; Weighted recurrence entropy; HRV signal (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:508:y:2018:i:c:p:131-140

DOI: 10.1016/j.physa.2018.05.006

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