Dynamics of coupled cell networks: synchrony, heteroclinic cycles and inflation M Aguiar, P Ashwin, A Dias, M Field Journal of nonlinear science 21 (2), 271-323, 2011 | 110 | 2011 |
Bifurcations from regular quotient networks: a first insight MAD Aguiar, APS Dias, M Golubitsky, AL Maria da Conceição Physica D: Nonlinear Phenomena 238 (2), 137-155, 2009 | 56 | 2009 |
Linear equivalence and ODE-equivalence for coupled cell networks APS Dias, I Stewart Nonlinearity 18 (3), 1003, 2005 | 52 | 2005 |
The lattice of synchrony subspaces of a coupled cell network: Characterization and computation algorithm MAD Aguiar, APS Dias Journal of Nonlinear Science 24, 949-996, 2014 | 44 | 2014 |
Local bifurcation in symmetric coupled cell networks: linear theory APS Dias, JSW Lamb Physica D: Nonlinear Phenomena 223 (1), 93-108, 2006 | 41 | 2006 |
Invariant theory and reversible-equivariant vector fields F Antoneli, PH Baptistelli, APS Dias, M Manoel Journal of Pure and Applied Algebra 213 (5), 649-663, 2009 | 37 | 2009 |
Hopf bifurcation in coupled cell networks with interior symmetries F Antoneli, APS Dias, RC Paiva SIAM Journal on Applied Dynamical Systems 7 (1), 220-248, 2008 | 37 | 2008 |
Synchronization and equitable partitions in weighted networks MAD Aguiar, APS Dias Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (7), 2018 | 32 | 2018 |
Hopf bifurcation with SN-symmetry APS Dias, A Rodrigues Nonlinearity 22 (3), 627, 2009 | 30 | 2009 |
Patterns of synchrony in lattice dynamical systems F Antoneli, APS Dias, M Golubitsky, Y Wang Nonlinearity 18 (5), 2193, 2005 | 26 | 2005 |
Symmetry groupoids and admissible vector fields for coupled cell networks APS Dias, I Stewart Journal of the London Mathematical Society 69 (3), 707-736, 2004 | 25 | 2004 |
Minimal coupled cell networks MAD Aguiar, APS Dias Nonlinearity 20 (1), 193, 2006 | 21 | 2006 |
Patterns of synchrony for feed-forward and auto-regulation feed-forward neural networks MAD Aguiar, APS Dias, F Ferreira Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (1), 2017 | 19 | 2017 |
Invariants, equivariants and characters in symmetric bifurcation theory F Antoneli, APS Dias, PC Matthews Proceedings of the Royal Society of Edinburgh Section A: Mathematics 138 (3 …, 2008 | 18 | 2008 |
Hopf bifurcation for wreath products APS Dias Nonlinearity 11 (2), 247, 1998 | 16 | 1998 |
Quasi-periodic states in coupled rings of cells F Antoneli, APS Dias, CMA Pinto Communications in Nonlinear Science and Numerical Simulation 15 (4), 1048-1062, 2010 | 14 | 2010 |
Spatially periodic patterns of synchrony in lattice networks APS Dias, EM Pinho SIAM Journal on Applied Dynamical Systems 8 (2), 641-675, 2009 | 14 | 2009 |
Homogeneous coupled cell networks with S3-symmetric quotient MAD Aguiar, APS Dias, M Golubitsky, MCA Leite Conference Publications 2007 (Special), 1-9, 2007 | 14 | 2007 |
Network dynamics with higher-order interactions: coupled cell hypernetworks for identical cells and synchrony M Aguiar, C Bick, A Dias Nonlinearity 36 (9), 4641, 2023 | 12 | 2023 |
Feedforward networks: adaptation, feedback, and synchrony MAD Aguiar, A Dias, M Field Journal of Nonlinear Science 29, 1129-1164, 2019 | 12 | 2019 |