Projects
European Union Funded projects
- MASIE
, or Mechanics and symmetry in Europe, European Network
under the Human Potential Program, Framework 5, (June
2000-November 2004)- node coordinator.
- Inês Cruz, Helena Mena-Matos and M. Esmeralda Sousa-Dias, The
group of symplectic birational maps of the plane and the
dynamics of a family of 4D maps,
- Inês Cruz, Helena Mena-Matos and M. Esmeralda Sousa-Dias,
Multiple reductions, foliations and the dynamics of
cluster maps, Regular and Chaotic Dynamics, Vol.
23, N.1, pp 102-119, 2018 (doi: 10.1134/S1560354718010082).
- Inês Cruz, Helena Mena-Matos and M. Esmeralda Sousa-Dias, Dynamics
and periodicity in a family of cluster maps, arXiv:1511.07291
- Inês Cruz, Helena Mena-Matos and M. Esmeralda Sousa-Dias, Dynamics of the birational maps
arising from $F_0$ and $dP_3$ quivers, Journal of
Mathematical Analysis and Applications 431 (2015), pp.
903-918, (doi:10.1016/j.jmaa.2015.06.017)
Paper
- Inês Cruz and M. Esmeralda Sousa-Dias, Reduction of cluster iteration
maps, Journal of Geometric Mechanics, 6, n. 3,
297-318, (2014) (doi:10.3934/jgm.2014.6.297
)
- Inês Cruz and M. Esmeralda Sousa-Dias, Reduction of order of
cluster-type recurrence relations, São Paulo Journal
of Mathematical Sciences, 6, n.2, 203-225 (2012) (Paper).
- L. Godinho, M.E. Sousa Dias, The fundamental group of S^1 manifolds, Canad. J. Math. 62 (2010), 1082-1098.
(Paper)
- 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).
- 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.
