Personal Data

Name: Manuela Alexandrina David de Aguiar

Present position: Assistant Professor at Faculty of Economics, University of Porto, Portugal

Research institution: CMUP


s-mail: Faculdade de Economia do Porto, Rua Dr. Roberto Frias, 4200-464 Porto, Portugal

Phone: + 351 22 5571 222

Fax: + 351 22 550 50 50


Academic Degrees

·         Bsc in Applied Mathematics - Computer Science, University of Porto, 1993.

·         Msc in Computer Science, University of Minho, Braga,  1996.

·         Phd in Mathematics, University of Porto, 2003.

Research Interests

Dynamical systems with and without symmetry. Heteroclinic cycles and networks. Bifurcation with symmetry. Coupled cell networks.


·         M.A.D. Aguiar and A.P.S. Dias, Regular Synchrony Lattices for Product Coupled Cell Networks, to appear in Chaos: An Interdisciplinary Journal of Nonlinear Science.

·         M.A.D. Aguiar and A.P.S. Dias, The Lattice of Synchrony Subspaces of a Coupled Cell Network: Characterization and Computation Algorithm, Journal of Nonlinear Science 24 (6) (2014) 949-996, DOI: 10.1007/s00332-014-9209-6.

·         M.A.D. Aguiar and H. Ruan, Evolution of Synchrony under Combination of Coupled Cell Networks, Nonlinearity 25 (2012) 3155-3187.

·         M.A.D. Aguiar and H. Ruan, Interior Symmetries and Multiple Eigenvalues for Homogeneous Networks, SIAM J. Appl. Dyn. Syst. 11, 1231 (2012).

·         M.A.D. Aguiar, Is there switching for replicator dynamics and bimatrix games? Physica D: Nonlinear Phenomena 240 (2011), 1475-1488. pdf

·         I.S. Labouriau, A.A.P. Rodrigues and M.A.D. Aguiar, Chaotic double cycling,  Dynamical Systems: An Int. Journal, 26(2) (2011), 199-233 .

·         M Aguiar, P Ashwin, A Dias, and M Field, Dynamics of coupled cell networks: Synchrony, heteroclinic cycles and inflation., Journal of Nonlinear Science,  21(2) (2011), 271-323.

·         M.A.D. Aguiar and S.B.S.D. Castro, Chaotic switching in a two-person game, Physica D 239 (2010), 1598-1609. pdf

·         M.A.D. Aguiar, I.S. Labouriau and A.A.P. Rodrigues , Switching near a network of rotating nodes, Dynamical Systems: An Int. Journal, 25(1) (2010), 75-95.

·         M. Aguiar, A.P.S. Dias, M. Golubitsky and M.C.A. Leite, Bifurcations from Regular Quotient Networks: A First Insight, Physica D 238 (2009), 137-155. pdf

·         M. Aguiar, A.P.S. Dias, Coupled Cell Networks: minimality, PAMM Proc. Appl. Math. Mech. 7 (2007), 1030501-1030502.

·         M. Aguiar, A.P.S. Dias, M. Golubitsky and M.C.A. Leite, Homogeneous Coupled Cell Networks with S3-symmetric Quotient,  Discrete and Continuous Dynamical Systems, Supplement (2007).

·         M. Aguiar, A.P.S. Dias, Minimal Coupled Cell Networks,  Nonlinearity 20 (2007), 193-219.

·         M. Aguiar, S. Castro and I. Labouriau, Simple vector fields with complex behaviour,  Int. Jour. of  Bifurcation and Chaos, Vol. 16, Nr. 2 (2006).

·         M. Aguiar, S. Castro and I. Labouriau, Dynamics near a Heteroclinic network, Nonlinearity 18 (2005) 391-414.

·         M. Aguiar, S. Castro and I. Labouriau, Switching along a network, International Conference on Differential Equations, Equadiff 2003, Hasselt, Belgium 449-451.

·         M. Aguiar, Vector fields with heteroclinic networks, Phd thesis, University of Porto, 2003.

·         M. Aguiar, S. Castro and I. Labouriau, Path Formulation for a Modal Family, Portugaliae Mathematica, vol. 58, Fasc. 4, 2001, 407-424.


Dstool specification of Field’s Example

·         Dstool specification (and routine field_aux ) of Field’s example studied in “M. Aguiar, S. Castro and I. Labouriau, Dynamics near a Heteroclinic network”, CMUP 2004-08.

·         Explanation of the routine field_aux.


·         Peter Ashwin's homepage

·         Sofia Castro homepage

·         Pascal Chossat's homepage

·         Ana Paula S. Dias homepage

·         Mike Field's homepage

·         Marty Golubitsky's homepage

·         John Guckenheimer's homepage

·         Ale Jan Homburg's homepage

·         Vivien Kirk's homepage

·         Isabel Labouriau homepage

·         Reiner Lauterbach's homepage

·         Ian Melbourne's homepage

·         Miguel Mendes homepage

·         Mark Robert's homepage

·         Mary Silber's homepage

·         Ian Stewart's homepage

Cântigo Negro

Se vim ao mundo, foi

para desflorar florestas virgens,

e desenhar meus próprios pés na areia inexplorada!

O mais que faço não vale nada.

         … (José Régio)


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