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| 3.04 MB | Adobe PDF |
Advisor(s)
Abstract(s)
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.
Description
Keywords
Complex systems Dynamical systems Fourier transform Visualization
