The Persistence of Memory

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

Authors

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

Journal

Title: Nonlinear Dynamics

Vol. 79

Pages: 63-82

ISSN: 0924-090X

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 43 Citations

Scopus - 46 Citations

Other information

Authenticus ID: P-00A-6BJ

DOI: 10.1007/s11071-014-1645-1

Abstract (EN): This paper analyzes several natural and man-made complex phenomena in the perspective of dynamical systems. Such phenomena are often characterized by the absence of a characteristic length-scale, long range correlations and persistent memory, which are features also associated to fractional order systems. For each system, the output, interpreted as a manifestation of the system dynamics, is analyzed by means of the Fourier transform. The amplitude spectrum is approximated by a power law function and the parameters are interpreted as an underlying signature of the system dynamics. The complex systems under analysis are then compared in a global perspective in order to unveil and visualize hidden relationships among them.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 20