Friday, September 15,
Location: Planetary Hall Room 126
Miguel A. F. SanJuán
Universidad Rey Juan Carlos
Department of Physics
Dynamics, Chaos, and Complex Systems: A Historical Perspective
When we talk about dynamics, we do not only understand
the motion of celestial bodies and solid mechanical systems, but any
with respect to time of one or more variables. From that point of view,
find dynamics everywhere, in any field of science. Thus, now we have a
general vision, including stock market movements and economic
concentration changes in chemical reactions, changes in physiological,
biological and medical variables, action potentials of neurons, etc ...
providing a more interdisciplinary perspective.
various interactions between the constituent parts
of a physical system and their feedback mechanisms, are a source of
nonlinearity and complexity, which added to the sensitivity dependence
initial conditions which is a hallmark of chaotic behavior, constitutes
change of perspective in dynamical systems with important consequences
understanding of science.
will give a historical perspective of Nonlinear
Dynamics, Chaos Theory and Complex Systems, including some of the
sources that have contributed to the construction of the discipline as
it today. Among them, the three-body problem in celestial mechanics,
in fluid dynamics, irreversibility and fundamentals of statistical
the logistic map and population dynamics in biology. Many schools of
mathematics and physics have played an essential role in the historical
development of the subject, including the French, Russian, Japanese and
American school. The knowledge of this historical perspective allows us
understand the breadth of the discipline itself and the multiple
interdisciplinary applications to various fields of science.