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, Heteroclinic network dynamics on joining coupled cell networks, , Dynamical Systems: An Int. Journal (2016), DOI: 10.1080/14689367.2016.1197889.


M.A.D. Aguiar and A.P.S. Dias, An Overview of Synchrony in Coupled Cell Networks. To appear in Springer Volume Modeling, Dynamics, Optimization and Bioeconomics II.

M.A.D. Aguiar, A.P.S. Dias and H. Ruan, Synchrony and Elementary Operations on Coupled Cell Networks, SIAM J. Appl. Dyn. Syst. 15(1), (2016) 322–337, DOI:10.1137/140980119.

M.A.D. Aguiar and A.P.S. Dias, Regular Synchrony Lattices for Product Coupled Cell Networks, Chaos, 25, 013108 (2015), DOI: 10.1063/1.4905703.

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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