Index

MANUELA AGUIAR HOMEPAGE

Personal Data

Name: Manuela Alexandrina David de Aguiar

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

Research institution: CMUP

e-mail: maguiar@fep.up.pt

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

Teaching

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.

Publications

· M.A.D. Aguiar and A.P.S. Dias, Synchrony in Coupled Cell Networks, Submitted.

· 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.

Preprints

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.

Links

· 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