FRACTIONAL STATE SPACE ANALYSIS OF TEMPERATURE TIME SERIES

• 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: 1518-1536

ISSN: 1311-0454

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 19 Citações

Scopus - 22 Citações

Outras Informações

ID Authenticus: P-00J-Y52

DOI: 10.1515/fca-2015-0088

Abstract (EN): Atmospheric temperatures characterize Earth as a slow dynamics spatio-temporal system, revealing long-memory and complex behavior. Temperature time series of 54 worldwide geographic locations are considered as representative of the Earth weather dynamics. These data are then interpreted as the time evolution of a set of state space variables describing a complex system. The data are analyzed by means of multidimensional scaling (MDS), and the fractional state space portrait (fSSP). A centennial perspective covering the period from 1910 to 2012 allows MDS to identify similarities among different Earth's locations. The multivariate mutual information is proposed to determine the "optimal" order of the time derivative for the fSSP representation. The fSSP emerges as a valuable alternative for visualizing system dynamics.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 19