Index

MANUELA AGUIAR HOMEPAGE

Authenticus CIÊNCIAVITAE Google Scholar ORCId Publons ResearchGate Scopus Web of Science

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

· Habilitation in Mathematics, University of Porto, 2021.

· Phd in Mathematics, University of Porto, 2003.

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

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

Research Interests

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

Publications

M.A.D. Aguiar, A.P.S. Dias and C. Bick. Network Dynamics with Higher-Order Interactions: Coupled Cell Hypernetworks for Identical Cells and Synchrony. (2022) Submitted.

M.A.D. Aguiar, A.P.S. Dias and H. Ruan, Synchrony Patterns in Gene Regulatory Networks, in Physica D, 429 (2022), 133065, DOI:10.1016/j.physd.2021.133065.

M. Aguiar and A. Dias, Synchrony and Antisynchrony in weighted networks, SIAM J. Applied Dynamical Systems 20 (3) (2021) 1382-1420, DOI: 10.1137/20M1348248.

M.A.D. Aguiar, A.P.S. Dias and P. Soares, Towards a classification of networks with asymmetric inputs, Nonlinearity, 34 (2021), 5630-5661.

M.A.D. Aguiar, A.P.S. Dias and P. Soares, Characterization of Fundamental networks, in Proceedings of the Royal Society of Edinburgh: Section A (Mathematics), (2020), DOI: 10.1017/prm.2018.71.

M. Aguiar, A. Dias and M. Manoel, Gradient and Hamiltonian coupled systems on undirected networks, in Mathematical Biosciences and Engineering, 16(5), (2019), 4622-4644, DOI: 10.3934/mbe.2019232.

M.A.D. Aguiar, A.P.S. Dias and P. Soares, The Steady-state Lifting Bifurcation Problem Associated with the Valency on Networks, in Physica D, 390, (2019), 36-46, DOI: 10.1016/j.physd.2018-10-006.

M Aguiar, A Dias, and M Field, Feedforward Networks: Adaptation, Feedback, and Synchrony, in Journal of Nonlinear Science, 29(3), (2019), 1129-1164, DOI: 10.1007/s00332-018-9513-7.

M.A.D. Aguiar and A.P.S. Dias, Synchronization and Equitable Partitions in Weighted Networks, in Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(7), 073105 (2018), DOI: 10.1063/1.4997385.

M.A.D. Aguiar, Networks with asymmetric inputs: lattice of synchrony subspaces, Nonlinearity 31(8) (2018), 3847-3879, DOI:10.1088/1361-6544/aac5a9.

M.A.D. Aguiar and A.P.S. Dias, An Overview of Synchrony in Coupled Cell Networks. In Modeling, Dynamics, Optimization and Bioeconomics III, Springer (2018), DOI: 10.1007/978-3-319-74086-7_2.

M.A.D. Aguiar, A.P.S. Dias and Flora Ferreira, Patterns of Synchrony for Feed-forward and Auto-regulation Feed-forward Neural Networks, in Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol.27, Issue 1, 013103 (2017), DOI: 10.1063/1.4973234.

M.A.D. Aguiar and A.P.S. Dias, Heteroclinic network dynamics on joining coupled cell networks, Dynamical Systems: An Int. Journal, Vol. 32, Issue 1 (2017) 4-22, DOI: 10.1080/14689367.2016.1197889.

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, in Chaos: An Interdisciplinary Journal of Nonlinear Science, 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, 1 (2007), 1-9.

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

M.A.D. Aguiar, A.P.S. Dias and P. Soares, Steady-state bifurcations for three-cell networks with asymmetric inputs, arXiv.2005.1260.

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