Sleep unconsciousness and breakdown of serial critical intermittency: New vistas on the global workspace

Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency

“…(19), which determines a finite correlation time for the signal ξ(t). The emergence of a normal diffusion scaling in the long-time limit allows to define a long-time diffusivity coefficient:…”

“…The emergence of a renewal point process with power-law decay in the WT-PDF is a condition denoted as fractal intermittency [9,18,19,20,21], being the inverse power-law tail a signature of self-similarity in the long-time behavior of the WT-PDF. As said above, this renewal process with power-law intermittency is associated with the birth and death of self-organized metastable states.…”

“…There are several examples of complex systems displaying a fractal intermittent behavior: ecological systems [22], neural dynamics [23], blinking quantum dots [24,25,26], social dynamics [27], brain information processing [28,29,30,16,31,32,18,19,33,1,3,4], atmospheric turbulence [34,17,35,9], earthquakes [36], single particle tracking in cell biology [37], molecular biology [20].…”

The emergence of self-organization in complex systems–Preface

“…Consequently, the dynamics of this class of complex systems are characterized by a birth-death intermittent process of cooperation, which is modeled through a renewal point process [1]. This important property is often found in biological complex systems and it is characterized by a fractal (inverse power-law) distribution of the inter-event times (see, e.g, [2,3,4,5]). …”

The Challenge of Brain Complexity - A Brief Discussion about a Fractal Intermittency-based Approach

“…In this work we introduce and discuss an approach to the processing of ElectroEncephaloGram (EEG) signals that is based on the observation that, in many complex systems, such as the human physiology, the dynamics trigger crucial events, each one associated with the emergence or decay of self-organized structures in the system (Allegrini et al, 2009;Allegrini et al, 2010a;Allegrini et al, 2010b;Allegrini et al, 2011;Paradisi et al, 2013;Allegrini et al, 2013;Allegrini et al, 2015;Beggs and Plenz, 2003;Plenz and Thiagarjan, 2007;Fraiman et al, 2009;Chialvo, 2010;Grigolini and Chialvo, 2013). The paper is organized as follows.…”