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David Martín de
Diego |
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address |
fax/phone |
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Departamento de Matemáticas
Instituto de Matemáticas y Física Fundamental
CSIC
C/Serrano 123, 28006 Madrid, Spain
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FAX
+34 915854894
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PHONE
+34 915616800
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Research |
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Geometric mechanics
Mechanical systems and systens with
symmetries. Noether's theorems
Nonholonomic mechanics. Vakonomic
mechanics. Control theory
Dynamic optimization with applications
to economy
General field theory
Geometric Integration
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Research project |
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MECÁNICA GEOMÉTRICA Y
CONTROL
Ministerio de Educación y Ciencia. MTM2004-7832
Investigador Principal: Dr. Manuel de León (CSIC)
Duración: 2004-2007
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Preprints |
- [FILE]
M. Barbero-Liñan, A. Echeverria-Enriquez, D. Martin de Diego, M.C.
Muñoz-Lecanda, N. Roman-Roy: Skinner-Rusk Unified Formalism for
Optimal Control Systems and Applications, Preprint 2007
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[FILE]
D. Iglesias, J.C. Marrero, D. Martin de Diego, D. Sosa: A general
framework for nonholonomic mechanics: Nonholonomic Systems on Lie
affgebroids, Preprint (2007)
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D. Iglesias, J.C.
Marrero, D. Martin de Diego, E. Martinez: Discrete Nonholonomic
Lagrangian Systems on Lie Groupoids, Preprint (2007)
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Recent Publications (since 2000) |
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[FILE]
Manuel de Leon, Juan Carlos Marrero, David Martin de Diego: Some
applications of semi-discrete variational integrators to classical field
theories, to appear in
Qualitative Theory of Dynamics systems (2007)
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[FILE]
D. Iglesias, J.C. Marrero, D. Martin de Diego, E. Martinez, E. Padron:
Reduction of symplectic Lie algebroids by a Lie subalgebroid and a
symmetry Lie group, SIGMA 3, 49 (2007), 28pg.
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- R.
Benito, M. de León, D. Martín de Diego: : Higher-order discrete lagrangian mechanics, to appear in
International journal of Geometric Methods in Modern Physics (2006)
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- [FILE] Jorge Cortes, Manuel de León, Juan Carlos Marrero, David Martín de Diego
and Eduardo Martínez:
A survey of Lagrangian mechanics and control on Lie algebroids and
groupoids, to appear in International Journal on Geometric Methods in Mathematical
Physics
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- M.
de León, D. Martín de Diego, A. Santamaría-Merino: Discrete optimal control theory and symplectic integrators.
to appear Advances in
Computational Mathematics
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Joris Vankerschaver, Frans Cantrijn, Manuel de León, David Martín de
Diego: Geometric aspects of nonholonomic field theories, Reports on Mathematical Physics,
56 (3) 387-411 (2005)
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- M.
de León, David Martín de Diego, A.
Santamaría:. Tulczyjew triples and lagrangian submanifolds in classical
field theories. Applied Differential Geometry and Mechanics (2003),
21-47
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- [FILE] J. Cortés, M. de León D. Martín de Diego, S. Martínez: Geometric
description of vakonomics and nonholonomic dynamics. Comparison
of solutions. SIAM Journal on Control and Optimization 41 (2003), 5,
1389-1412
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- [FILE] E. Binz, M. de León, D. Martín de Diego, D. Socolescu:
Non-holonomic constraints in classical field theory. Reports on
Mathematical Physics (2002).
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- [FILE] F. Cantrijn,
J. Cortés, M. de León, D. Martín de Diego: On the geometry of generalized Chaplygin systems. Mathematical
Proceedings of the Cambridge Philosophical Society 132 (2002), 323-351
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- A. Ibort, M. de León, E. A Lacomba, J. C Marrero, D. Martín de Diego:
P. Pitanga. Geometric formulation of Carnot’s theorem. Journal of
Physics A: Math. Gen. 34 (2001), 1691-1712.
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- [FILE] M. de León, D. Martín de Diego: Variational integrators
and time-dependent Lagrangian systems. Rep. Mathematical Phys.
49 (2002), 2-3, 183-192
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J. Cortés, M. de León, David Martín de
Diego, S. Martínez: Mechanical systems subjected to generalized
nonholonomic constraints, Proceedings of the Royal Society of London,
Volume 457 Number 2007 Issue 8th March 2001, pp. 651-670
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- F.
Cantrijn, M. de León, J.C. Marrero,
David Martín de Diego: Pseudo-Poisson
brackets in time-dependent nonholonomic mechanical systems. Nonlinearity
13 4 (2000) 1379-1409
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- M.
de León, J.C. Marrero, David Martín de
Diego: Vakonomic mechanics versus non-holonomic mechanics: A
unified geometrical approach, Journal of Geometry and Physics 35
(2000), 126-144.
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