Projects
- MASIE ,
or Mechanics and symmetry in Europe, is a European Network under
the Human Potential Program, Framework 5, (June 2000-November
2004).
Publications
- Miguel Rodríguez-Olmos and M. Esmeralda Sousa Dias, Nonlinear stability of Riemann ellipsoids
with symmetric configurations, Journal of Nonlinear Science,
Volume 19, Nº 2, 179-219 (2009) doi:
10.1007/s00332-008-9032-z
- M. Perlmutter, M. Rodríguez-Olmos, M. E. Sousa-Dias, The symplectic normal space of a
cotangent-lifted action, Differ. Geom. and
Appl., Volume 26, Issue 3, 2008,
Pages 277-297.(Paper)
- Matthew
Perlmutter ,
Miguel Rodriguez-Olmos , M. Esmeralda Sousa-Dias, On the geometry
of reduced cotangent bundles at zero momentum, Journal of
Geometry and Physics, vol. 57, 571-596 (2007) (Paper).
- L. Godinho, M.E. Sousa Dias, The
fundamental group of S^1 manifolds, To appear in Canad. J.
Math. (Paper)
- T. S. Ratiu, E. Sousa Dias, L. Sbano, G. Terra and R. Tudoran, A Crash course in Geometric Mechanics,
in Geometric Mechanics and Symmetry:
The Peyresq Lectures, edited by J. Montaldi and T. Ratiu,
London Mathematical Society Lecture Notes Series 306, Cambridge
University Press (2005).
- J.F. Alves, M.M. Graça, M.E. Sousa Dias, J. Sousa Ramos,
A Linear Algebra approach to the
conjecture of Collatz, Linear Algebra and its
Applications, 394 (2005) 277-289. (available online at
www.sciencedirect.com).
- Rodríguez-Olmos, M. and Sousa Dias, M.E.R. A note
on the existence and symmetries of relative equilibria in simple
mechanical systems. Proceedings of the XI Fall Workshop on
Geometry and
Physics, Oviedo 2002. Publicaciones de la Real Sociedad
Matemática Española, vol. 5, 2004. pp 241-246.
- M. Rodríguez Olmos and M. E. Sousa Dias, Symmetries
of relative
equilibria for simple mechanical systems, In Symmetry and
Perturbation
Theory, SPT 2002, Abenda, S., Gaeta, G., Walcher, S. (eds.), World
Scientific,
221-230 (2002)
- M. E. Sousa Dias, Pseudo-rigid bodies: A geometric
Lagrangian approach, Acta Applicandae Mathematicae, 70 : 209-230
(2002)
(Paper.ps,Paper.pdf) (Abstract).
- M. E. Sousa Dias, Relative equilibria in linear
elasticity, STP98-
Symmetry and Pertubation Theory II, A. Degasperis and G. Gaeta
eds.,
World
Scientific, 258-267 (1999) (Paper.ps)
(Abstract).
- R.M. Roberts and M.E.R. de Sousa-Dias, Symmetries
of
Riemann ellipsoids, Resenhas- IME. USP, Vol. 4, 2, 183-221
(1999). (Abstract).
- R.M. Roberts, M.E.R de Sousa Dias, Bifurcations from
relative equilibria of Hamiltonian systems, Nonlinearity 10,
1719-1738,
1997. (Abstract).
- M.E.R. de Sousa-Dias,
Local Dynamics of Symmetric
Hamiltonian systems with application to the affine rigid body, PhD
thesis, Univ. Warwick 1995.
- M.E.R Sousa Dias, A geometric Hamiltonian approach for
the
affine rigid body, in P. Chossat eds.,
Bifurcation and
Symmetry,
291-299, 1994, Kluwer Academic Pub.
