Introduction:
The research on mechanical and dynamical systems has had a deep impact
in other research areas as well as in the development of several
technologies. A big part of its advances has been based on numerical
and analytical techniques. In the sixties it has been introduced the
most sophisticated and powerful techniques coming from Geometry and
Topology, which have led, for instance, to the beginning of the modern
Hamiltonian Mechanics. Geometric techniques have been also applied to
diverse control problems in locomotion systems, robotics, etc. Most of
these ideas have been developed in the last 30 years by Mathematicians
of a high scientific level such as J. Marsden, A. Weinstein, R.
Abraham, V. Arnold or R. Brockett among others.
The goal of this Special Session is to bring together researchers
working in the aplications of geometric methods (in a broad sense) to
mechanics and control theory, paying special attention to
facilitate the interaction between theory and applications. The following list
of topics will be welcomed in this session:
\begin{itemize}
\item Lagrangian and Hamiltonian mechanics
\item Symplectic and Poisson geometry and their applications to mechanics
\item Geometric and optimal control theory
\item Geometric and variational integration
\item Geometry of stochastic systems
\item Geometric methods in dynamical systems
\item Continuum mechanics
\item Classical field theory
\item Fluid mechanics
\item Infinite-dimensional dynamical systems
\item Quantum mechanics and quantum information theory; applications in
physics, technology, engineering, and the biological sciences
\end{itemize}
This proposal is motivated by the recent launching of the first
journal devoted to these topics, Journal of Geometric Mechanics. The
session will include a meeting of the members of its Editorial Board. |