The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus (open access)

The Fractal Tapestry of Life: III Multifractals Entail the Fractional Calculus

This article is the third essay advocating the use the (non-integer) fractional calculus (FC) to capture the dynamics of complex networks in the twilight of the Newtonian era. Herein, the focus is on drawing a distinction between networks described by monfractal time series extensively discussed in the prequels and how they differ in function from multifractal time series, using physiological phenomena as exemplars.
Date: March 10, 2022
Creator: West, Bruce J.
Object Type: Article
System: The UNT Digital Library
Reply to the Comment  "Intercluster correlation in Seismicity" by Helmstetter and Sornette (open access)

Reply to the Comment "Intercluster correlation in Seismicity" by Helmstetter and Sornette

This paper is a reply to the comment by Helmstetter and Sornette titled "Intercluster correlation in Seismicity" which addresses an important point in a paper written by the authors that needs to be clarified.
Date: September 15, 2003
Creator: Mega, Mirko S.; Allegrini, Paolo; Grigolini, Paolo; Latora, Vito; Palatella, Luigi; Rapisarda, Andrea et al.
Object Type: Paper
System: The UNT Digital Library
Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory (open access)

Experimental Quenching of Harmonic Stimuli: Universality of Linear Response Theory

This article discusses experimental quenching of harmonic stimuli.
Date: July 15, 2009
Creator: Allegrini, Paolo; Bologna, Mauro; Fronzoni, Leone; Grigolini, Paolo & Silvestri, Ludovico
Object Type: Article
System: The UNT Digital Library