Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/7436
Título: Analysis of Natural and Artificial Phenomena Using Signal Processing and Fractional Calculus
Autor: Machado, J. A. Tenreiro
Lopes, António M.
Palavras-chave: Complex systems
Fourier transform
Clustering
Visualization
Data: 2015
Editora: De Gruyter
Relatório da Série N.º: Fractional Calculus and Applied Analysis;Vol. 18, Issue 2
Resumo: 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.
URI: http://hdl.handle.net/10400.22/7436
DOI: 10.1515/fca-2015-0029
Versão do Editor: http://www.degruyter.com/view/j/fca.2015.18.issue-2/fca-2015-0029/fca-2015-0029.xml
Aparece nas colecções:ISEP - DEE - Artigos

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