Research group on
Differential Geometry, Dynamical Systems, and Applications
Grup de recerca sobre
Geometria Diferencial, Sistemes dinàmics i Aplicacions
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Department of Applied Mathematics IV
Departament de Matemàtica Aplicada IV
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Technical University of Catalonia
Universitat Politècnica de Catalunya
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This is the home page of the research group
on Differential Geometry, Dynamical Systems, and Applications
of the
Department of Applied Mathematics IV
of the
Technical University of Catalonia (UPC).
The activities of the group began in 1988,
and can be roughly described as
differential geometry and its applications,
especially to theoretical physics
and to control theory.
Our main research topics are:
-
Geometric structures in Physics
- Lagrangian and hamiltonian formalisms
- Higher-order systems, time-dependent systems
- Classical field theory
- Singular differential equations
- Symmetries and reduction
- Geometric quantization
-
Geometric methods in control theory
- Control of mechanical systems
- Geometric and algebraic control
- Optimal control
- Singular systems
Our group is also involved in other activities,
and in particular we have organised two sessions of the
Fall Workshop on Geometry and Physics:
Barcelona 1993 and Vilanova i la Geltrú 2000.
Some of our members are also with the
Geometry, Mechanics and Control Network.
Additional information about the group can be found
at the following links:
The home page of the research group was created by
J. Franch and X. Gràcia
on 10 June 1997.
You may send comments to
xgracia@ma4.upc.edu.
This home page is stored in the
WWW server
of the Department of Applied Mathematics IV.
Last update: 20 April 2007