Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/6942
Título: Pseudo Phase Plane and Fractional Calculus Modelling of Western Global Economic Downturn
Autor: Machado, J. A. Tenreiro
Mata, Maria Eugénia
Palavras-chave: Pseudo Phase Plane
System modeling
Economy
Fractional Calculus
Data: 2014
Editora: Elsevier
Relatório da Série N.º: Communications in Nonlinear Science and Numerical Simulation;Vol. 22, Issues 1–3
Resumo: This paper applies Pseudo Phase Plane (PPP) and Fractional Calculus (FC) mathematical tools for modeling world economies. A challenging global rivalry among the largest international economies began in the early 1970s, when the post-war prosperity declined. It went on, up to now. If some worrying threatens may exist actually in terms of possible ambitious military aggression, invasion, or hegemony, countries’ PPP relative positions can tell something on the current global peaceful equilibrium. A global political downturn of the USA on global hegemony in favor of Asian partners is possible, but can still be not accomplished in the next decades. If the 1973 oil chock has represented the beginning of a long-run recession, the PPP analysis of the last four decades (1972–2012) does not conclude for other partners’ global dominance (Russian, Brazil, Japan, and Germany) in reaching high degrees of similarity with the most developed world countries. The synergies of the proposed mathematical tools lead to a better understanding of the dynamics underlying world economies and point towards the estimation of future states based on the memory of each time series.
URI: http://hdl.handle.net/10400.22/6942
DOI: 10.1016/j.cnsns.2014.08.032
Versão do Editor: http://www.sciencedirect.com/science/article/pii/S1007570414004341
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