professor Marcel A. Savi, Universidad Federal Rio de Janeiro (Brasil)
“Chaos Theory”: 25/1/2024, at 15:00;
“Smart Systems and Structures”: 1/2/2024, at 15:00
Giovedì 25 Gennaio 2024, ore 15:00
This presentation presents an overview of chaos theory. It starts
with an historical introduction, passing from the scientific
revolution going to the studies that characterize the modern
chaos. The interdisciplinarity is explored showing different areas
of applications. Afterward, the background of dynamical systems
is of concern, presenting the mathematical representation and
the concept of stability. Chaotic dynamics is then explored from
the horseshoe transformation, establishing that it is a
consequence of the contraction-expansion-fold process. The main
aspects of chaotic behavior are then discussed defining chaotic
and fractal attractors. Routes to chaos are investigated showing
some definitions of bifurcation, treating local and global
bifurcations. Lyapunov exponents are defined in order to present
a diagnostic tool for chaos.