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The workshop covers several very active research
topics in Dynamics from fundamental aspects
to various applications (e.g. in biology,
chemistry, weather prediction). We believe it will
attract a good number of experts, in mathematics and in experimental sciences.
Dynamical Systems was born and developed as
an interdisciplinary field, driven by requests from experimental
sciences
and aiming at providing a conceptual framework for explaining
and predicting their observations.
Indeed, some of its spectacular advances were prompted by
such issues
as the behavior of the solar system
(homoclinic phenomena, non-integrability of the equations
of motion), the Earth's
atmosphere (convection, Lorenz strange attractors),
or the evolution of ecological environments
(Lotka-Volterra equations, invading species). The sciences
of the environment are providing some new and very exciting
new challenges, from the modelling of
physical
and biological systems, to the monitoring of global changes,
just to mention a few. The
meeting will bring together a good number of researchers, both
young and experienced. It will include advanced courses and
research lectures, covering a wide spectrum of subjects, and
aimed
at a broad audience of doctoral students and researchers
interested in this field and its applications.
The goal of the workshop is to enhance an interdisciplinary approach
to crucial environmental issues, where conceptual methods of
Dynamics come together with practical applications. This is
an area with huge potential for development
across Europe and worldwide, and with obvious
immediate applications. We have designed the
workshop with the following priorities in mind:
- to promote and intensify contacts between mathematicians
working in fundamental as well as
in close contact with practical applications,
on the one hand, and experts in experimental
areas, on the other hand, thus helping
to bridge "cultural" gaps between various
branches of knowledge;
- to foster the scientific collaboration in the relevant
areas across the borders of Europe (scientists
of 7 European countries are involved)
and with other regions in the world, by creating
a privileged forum for interchange of experiences and
development of cooperations;
- to attract talented students from across Europe to a
very exciting research domain, by offering
courses ranging from fundamental topics
to numerical tools and to actual applications
of Dynamics to concrete problems posed by the experimental
sciences;
- to enhance the visibility of the research currently carried
out in Portugal in the field of Dynamical Systems, at a
stage where it is entering a whole new stage of development,
and to bringing it together with themes of potential application.
We believe the Workshop will bring clear benefits from
all these viewpoints, in particular, we
expect to have significant impact on the
interest for Mathematics and its applications in Portugal
and in Europe in the near future.
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