FRACTIONAL STATE SPACE ANALYSIS OF TEMPERATURE TIME SERIES

• 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: 1518-1536

ISSN: 1311-0454

Publisher: Walter De Gruyter

Indexing

ISI Web of Knowledge - 19 Citations

Scopus - 22 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 19