Ana Paula Dias

2017
Aguiar MA, Dias A., Ferreira F. Patterns of synchrony for feed-forward and auto-regulation feed-forward neural networks. Chaos . 2017;27:013103,.
Aguiar MA, Dias A., Ferreira F. Patterns of Synchrony for Feed-forward and Auto-reed-forward Neural Networks. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2017;27(1):013103.
Aguiar MA, Dias A.. Heteroclinic network dynamics on joining coupled cell networks. Dynamical Systems: An Int. Journal. 2017;32 (1):4-22.
2016
Aguiar MA, Dias A., Ruan H.. Synchrony and Elementary Operations on Coupled Cell Networks. SIAM J. Appl. Dyn. Syst.. 2016;15(1):322-337.
Aguiar MA, Dias A.. Heteroclinic network dynamics on joining coupled cell networks. Dynamical Systems An International Journal. 2016.
Aguiar MA, Dias A., Ruan H.. Synchrony and Elementary Operations on Coupled Cell Networks. SIAM J. Appl. Dyn. Syst. 15(1). 2016;15(1):322-337.
2015
Aguiar MA, Dias A.. Regular Synchrony Lattices for Product Coupled Cell Networks. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2015;25:013108.
2014
Aguiar MA, Dias A.. The Lattice of Synchrony Subspaces of a Coupled Cell Network: Characterization and Computation Algorithm. Journal of Nonlinear Science. 2014;24(6):949-996.
2012
Dias A., Moreira C.. Spectrum of the elimination of loops and multiple arrows in coupled cell systems. Nonlinearity. 2012;25:3139-3154.
Dias A., Moreira C.. Spectrum of the elimination of loops and multiple arrows in coupled cell networks. Nonlinearity. 2012;25:3139-3154.
2011
Aguiar MA, Ashwin P., Dias A, Field M. Dynamics of coupled cell networks: Synchrony, heteroclinic cycles and inflation. Journal of Nonlinear Science. 2011;21(2):271-323.
2010
Dias AP, Pinho EM. On the enumeration of periodic patterns of synchrony via finite bidirectional networks. Proceedings A of the Royal Society of London. 2010;466:891-910.
2009
Generating Functions for Hopf Bifurcation with S_n-Symmetry. Discrete and Continuous Dynamical Systems - Series A . 2009;25(3):823-842.
Dias AP, Rodrigues A. Hopf bifurcation with S_n symmetry. Nonlinearity. 2009; 22:627-666.
Aguiar MA, Dias A., Golubitsky M, Leite M.. Bifurcations from Regular Quotient Networks: A First Insight. Physica D . 2009;238:137-155.
2008
Antoneli F, Dias AP, Matthews PC. Invariants, Equivariants and Characters in Symmetric Bifurcation Theory. Proceedings of the Royal Society of Edinburgh. 2008;138A:477-512.
Dias AP, Pinho EM. Spatially Periodic Patterns of Synchrony in Lattice Networks. SIAM Journal on Applied Dynamical Systems. 2008;8(2):641-675.
2007
Aguiar MA, Dias A.. Coupled Cell Networks: minimality. PAMM Proc. Appl. Math. Mech.. 2007;7:1030501-1030502.
Aguiar MA, Dias A., Golubitsky M, Leite M.. Homogeneous Coupled Cell Networks with S3-symmetric Quotient. Discrete and Continuous Dynamical Systems. 2007;Supplement.
Aguiar MA, Dias A.. Minimal Coupled Cell Networks. Nonlinearity . 2007;20:193-219.
2006
Dias AP, Lamb JS. Local bifurcation in symmetric coupled cell networks: linear theory. Physica D. 2006;223:93-108.
Dias AP, Paiva RC. Hopf Bifurcation with S_3-symmetry. PortugaliÆ Mathematica. 2006;63(2):127-155.
Dias AP, Paiva RC. Hopf Bifurcation with D_n-symmetry. Glasgow Mathematical Journal. 2006;48:41-51.
Dias AP, Rodrigues A. Secondary Bifurcations in Systems with All-to-All Coupling. Part II. Dynamical Systems. 2006;21:439-463.
2005
Dias AP, Stewart I. Linear Equivalence and ODE-equivalence for Coupled Cell Networks. Nonlinearity. 2005;18:1003-1020.
Antoneli F, Dias AP, Golubitsky M, Wang Y. Patterns of Synchrony in Lattice Dynamical Systems. Nonlinearity. 2005;18:2193-2209.
Abreu S, Dias AP. Hopf Bifurcation on Hemispheres. Nonlinearity. 2005;19:553-574.
2004
Dias A., Stewart I.. Symmetry Groupoids and Admissible Vector Fields for Coupled Cell Networks. Journal of the London Mathematical Society. 2004;69:707-736.
2003
Dias A., Stewart I.. Secondary bifurcations in systems with All-to-All coupling. Proceedings of the Royal Society of London Ser. A . 2003;459:1-18.
2000
Dias A., Stewart I.. Invariant Theory for Wreath Product Groups. Journal of Pure and Applied Algebra. 2000;150:61-84.
Stewart I., Dias A. Hilbert Series for Equivariant Mappings Restricted to Invariant Hyperplanes. Journal of Pure and Applied Algebra. 2000;151:89-106.
Stewart I., Dias A.. Toric Geometry and Equivariant Bifurcations. Physica D. 2000;143:235-261.
Dias A., Dionne B., Stewart I.. Heteroclinic Cycles and Wreath Product Symmetries. Dynamics and Stability of Sytems. 2000;15:353-385.
1999
Dias A., Stewart I.. Symmetry-breaking Bifurcations of Wreath Product Systems. Journal of Nonlinear Science . 1999;9:671-695.
1998
Dias AP. Hopf bifurcation for wreath products. Nonlinearity. 1998;11:247-264.
1996
Labouriau IS, Dias AP. Instant chaos is chaos in slow motionLabouriau IS, Dias AP. Instant chaos is chaos in slow motion. J. Math. Anal. Appl.. 1996;199:138-148. J. Math. Anal. Appl.. 1996;199:138-148.
Aguiar MA, Dias AP. The Lattice of Synchrony Subspaces of a Coupled Cell Network: Characterization and Computation Algorithm. Journal of Nonlinear Science.
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