Entropy | |
Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information | |
José M. Angulo1  Francisco J. Esquivel2  | |
[1] Department of Statistics and Operations Research, University of Granada, Campus Fuente Nueva s/n, E-18071, Granada, Spain; E-Mail | |
关键词: complex system; generalized dimensions; multifractality; non-extensivity; seismicity; space-time dynamics; Tsallis entropy; | |
DOI : 10.3390/e17085382 | |
来源: mdpi | |
【 摘 要 】
Entropy-based tools are commonly used to describe the dynamics of complex systems. In the last few decades, non-extensive statistics, based on Tsallis entropy, and multifractal techniques have shown to be useful to characterize long-range interaction and scaling behavior. In this paper, an approach based on generalized Tsallis dimensions is used for the formulation of mutual-information-related dependence coefficients in the multifractal domain. Different versions according to the normalizing factor, as well as to the inclusion of the non-extensivity correction term are considered and discussed. An application to the assessment of dimensional interaction in the structural dynamics of a seismic real series is carried out to illustrate the usefulness and comparative performance of the measures introduced.
【 授权许可】
CC BY
© 2015 by the authors; licensee MDPI, Basel, Switzerland.
【 预 览 】
Files | Size | Format | View |
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RO202003190008390ZK.pdf | 410KB | download |