Multifractal Dimensional Dependence Assessment Based on Tsallis Mutual Information

Entropy

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.