2012/03/25 by G. P. Pavlos, Markos Xenakis, Pavlos, G. P. +10
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics and Entropy #nlin.CD
paper · pdf · doi:10.48550/arxiv.1203.5556
41 pages, 11 figures, 1 table
arxiv created 2012/03/25 · openalex publication_date 2012/03/25 · arxiv updated 2012/03/27 · openalex created_date 2016/08/23 · openalex updated_date 2026/07/28
Tsallis q-extension of statistics and fractal generalization of dynamics are two faces of the same physical reality, as well as the Kernel modern complexity theory. The fractal generalization dynamics is based at the multiscale - multifractal characters of complex dynamics in the physical space-time and the complex system's dynamical phase space. Tsallis q-triplet of non-extensive statistics can be used for the experiment test of q-statistic as well as of the fractal dynamics. In this study we present indicative experimental verifications of Tsallis theory in various complex systems such as solar plasmas, (planetic magnetospheres, cosmic stars and cosmic rays), atmospheric dynamics, seismogenesis and brain dynamics.