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Event-Driven Power-Law Relaxation in Weak Turbulence (open access)

Event-Driven Power-Law Relaxation in Weak Turbulence

This article discusses event-driven power-law relaxation in weak turbulence.
Date: January 5, 2009
Creator: Silvestri, Ludovico; Fronzoni, Leone; Grigolini, Paolo & Allegrini, Paolo
System: The UNT Digital Library
Diffusion Entropy vs. Multiscale and Rényi Entropy to Detect Progression of Autonomic Neuropathy (open access)

Diffusion Entropy vs. Multiscale and Rényi Entropy to Detect Progression of Autonomic Neuropathy

This article reviews the literature to argue the importance of the occurrence of crucial events in the dynamics of physiological processes. Crucial events are interpreted as short time intervals of turbulence, and the time distance between two consecutive crucial events is a waiting time distribution density with an inverse power law (IPL) index µ, with µ < 3 generating non-stationary behavior.
Date: January 14, 2021
Creator: Jelinek, Herbert F.; Tuladhar, Rohisha; Culbreth, Garland; Bohara, Gyanendra; Cornforth, David; West, Bruce J. et al.
System: The UNT Digital Library

Renormalization group and fractional calculus methods in a complex world: A review

This article is a review discussing the origin, development, and application of the renormalization group (RG) method in a variety of fields from the physical, social and life sciences, in singular perturbation theory, and reveal the need to connect the RG and the fractional calculus (FC). The authors also present recommendations for future research based on this new way of thinking.
Date: January 29, 2021
Creator: Guo, Lihong; Chen, YangQuan; Shi, Shaoyun & West, Bruce J.
System: The UNT Digital Library