  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.
