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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Tenreiro Machado, JAT (Autor) Outra; António Mendes Lopes (Autor) FEUP

Revista

Título: Fractional Calculus and Applied Analysis

Vol. 18

Páginas: 459-478

ISSN: 1311-0454

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 40 Citações

Scopus - 40 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20