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Advisor(s)
Abstract(s)
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.
Description
Keywords
Fractals Fractional calculus Multidimensional scaling Scientific visualization Symbolic dynamics