Multidimensional scaling locus of memristor and fractional order elements

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Machado, JAT (Author) Other; António Mendes Lopes (Author) FEUP

Journal

Title: Journal of Advanced Research

Vol. 25

Pages: 147-157

ISSN: 2090-1232

Publisher: Cairo University

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 12 Citations

Other information

Authenticus ID: P-00R-QNB

DOI: 10.1016/j.jare.2020.01.004

Abstract (EN): This paper combines the synergies of three mathematical and computational generalizations. The con-cepts of fractional calculus, memristor and information visualization extend the classical ideas of integro-differential calculus, electrical elements and data representation, respectively. The study embeds these notions in a common framework, with the objective of organizing and describing the "continuum" of fractional order elements (FOE). Each FOE is characterized by its behavior, either in the time or in the frequency domains, and the differences between the FOE are captured by a variety of distinct indices, such as the Arccosine, Canberra, Jaccard and Sorensen distances. The dissimilarity information is pro-cessed by the multidimensional scaling (MDS) computational algorithm to unravel possible clusters and to allow a direct pattern visualization. The MDS yields 3-dimensional loci organized according to the FOE characteristics both for linear and nonlinear elements. The new representation generalizes the standard Cartesian 2-dimensional periodic table of elements. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Cairo University.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 11