This paper describes a path integral formulation of the free energy principle. The ensuing
account expresses the paths or trajectories that a particle takes as it evolves over time. The …

Shortly after the seminal paper “Self-Organized Criticality: An explanation of 1/f noise” by
Bak et al.(1987), the idea has been applied to solar physics, in “Avalanches and the …

At the inception of human brain mapping, two principles of functional anatomy underwrote
most conceptions—and analyses—of distributed brain responses: namely, functional …

In this treatment of random dynamical systems, we consider the existence—and
identification—of conditional independencies at nonequilibrium steady-state. These …

In this paper, a chaotic quaternion autonomous nonlinear structure is introduced and intends
to be a contribution. It is the first nonlinear dynamical system with quaternion variables to be …

Using the gamma-ray flare samples of the Sun and 3C 454.3 observed by the Fermi
telescope, we investigate the statistical properties of sizes including fluence (energy), peak …

We investigate Tsallis q-statistics for various complex physical systems. In particular, the
Tsallis q-triplet is estimated for space plasmas, atmospheric dynamics, seismicity, and brain …

This article presents novel results revealing non-equilibrium phase transition processes in
the solar wind plasma during a strong shock event, which took place on 26th September …

In this study which is the continuation of the first part (Pavlos et al. 2012)[1], the nonlinear
analysis of the solar flares index is embedded in the non-extensive statistical theory of …

The so called q-triplets were conjectured in 2004 [C. Tsallis, Physica A 340, 1 (2004)] and
then found in nature in 2005 [LF Burlaga, AF Vinas, Physica A 356, 375 (2005)]. A relevant …