Dispersive graded entropy on computing dynamical complexity
Publication
, Journal Article
Mukherjee, S; Banerjee, S; Rondoni, L
Published in: Physica A: Statistical Mechanics and Its Applications
October 15, 2018
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.
Duke Scholars
Published In
Physica A: Statistical Mechanics and Its Applications
DOI
ISSN
0378-4371
Publication Date
October 15, 2018
Volume
508
Start / End Page
131 / 140
Related Subject Headings
- Fluids & Plasmas
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Mukherjee, S., Banerjee, S., & Rondoni, L. (2018). Dispersive graded entropy on computing dynamical complexity. Physica A: Statistical Mechanics and Its Applications, 508, 131–140. https://doi.org/10.1016/j.physa.2018.05.006
Mukherjee, S., S. Banerjee, and L. Rondoni. “Dispersive graded entropy on computing dynamical complexity.” Physica A: Statistical Mechanics and Its Applications 508 (October 15, 2018): 131–40. https://doi.org/10.1016/j.physa.2018.05.006.
Mukherjee S, Banerjee S, Rondoni L. Dispersive graded entropy on computing dynamical complexity. Physica A: Statistical Mechanics and Its Applications. 2018 Oct 15;508:131–40.
Mukherjee, S., et al. “Dispersive graded entropy on computing dynamical complexity.” Physica A: Statistical Mechanics and Its Applications, vol. 508, Oct. 2018, pp. 131–40. Scopus, doi:10.1016/j.physa.2018.05.006.
Mukherjee S, Banerjee S, Rondoni L. Dispersive graded entropy on computing dynamical complexity. Physica A: Statistical Mechanics and Its Applications. 2018 Oct 15;508:131–140.
Published In
Physica A: Statistical Mechanics and Its Applications
DOI
ISSN
0378-4371
Publication Date
October 15, 2018
Volume
508
Start / End Page
131 / 140
Related Subject Headings
- Fluids & Plasmas
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0102 Applied Mathematics