Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/3759
Título: Symbolic fractional dynamics
Autor: Machado, J. A. Tenreiro
Galhano, Alexandra
Palavras-chave: Fractals
Fractional calculus
Multidimensional scaling
Scientific visualization
Symbolic dynamics
Data: 2013
Editora: IEEE
Relatório da Série N.º: IEEE Journal Emerging and Selected Topics in Circuits and Systems; Vol. 3, Issue 3
Resumo: Fractional dynamics reveals long range memory properties of systems described by means of signals represented by real numbers. Alternatively, dynamical systems and signals can adopt a representation where states are quantified using a set of symbols. Such signals occur both in nature and in man made processes and have the potential of a aftermath as relevant as the classical counterpart. This paper explores the association of Fractional calculus and symbolic dynamics. The results are visualized by means of the multidimensional technique and reveal the association between the fractal dimension and one definition of fractional derivative.
Peer review: yes
URI: http://hdl.handle.net/10400.22/3759
ISSN: 2156-3357
Versão do Editor: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6573388
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