ANALYSIS OF NATURAL AND ARTIFICIAL PHENOMENA USING SIGNAL PROCESSING AND FRACTIONAL CALCULUS

• Type: Article in International Scientific Journal
• Date: 2015

Authors

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

Journal

Title: Fractional Calculus and Applied Analysis

Vol. 18

Pages: 459-478

ISSN: 1311-0454

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 40 Citations

Scopus - 40 Citations

Other information

Authenticus ID: P-00G-AT4

DOI: 10.1515/fca-2015-0029

Abstract (EN): In this paper we study several natural and man-made complex phenomena in the perspective of dynamical systems. For each class of phenomena, the system outputs are time-series records obtained in identical conditions. The time-series are viewed as manifestations of the system behavior and are processed for analyzing the system dynamics. First, we use the Fourier transform to process the data and we approximate the amplitude spectra by means of power law functions. We interpret the power law parameters as a phenomenological signature of the system dynamics. Second, we adopt the techniques of non-hierarchical clustering and multidimensional scaling to visualize hidden relationships between the complex phenomena. Third, we propose a vector field based analogy to interpret the patterns unveiled by the PL parameters.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20