Publications
Periodic solutions in an array of coupled FitzHugh-Nagumo cells. J. Math. Anal. Appl.. 2014;412:29-40.Edit
Path Formulation for a Modal Family. Portugaliae Mathematica. 2001;58(4):407-424.
Note on the unfolding of degenerate Hopf bifurcation germs. J. Differential Equations. 1985;57:436-439.
Loss of synchronization in partially coupled Hodgkin-Huxley equations. Bull. Math. Biol.. 2004;66:539-557.Edit
A local but not global attractor for a Z_n-symmetric map. J. Singul.. 2012;6:1-14.
A local but not global attractor for a $\Bbb Z_n$-symmetric map. J. Singul.. 2012;6:1-14.
Limit cycles for a class of Z_2n-equivariant systems without infinite equilibria. Electronic Journal of Differential Equations. 2016;122:1-12.Edit
Limit cycles for a class of quintic Z_6-equivariant systems without infinite critical points. Bulletin of the Belgian Mathematical Society - Simon Stevin. 2014;(21):841-857.Edit
Invariants for bifurcations. Houston J. Math.. 2006;32:445-458.Edit
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.Edit
Instant chaos is chaos in slow motion. J. Math. Anal. Appl.. 1996;199:138-148.Edit
Hopf bifurcation with tetrahedral and octahedral symmetry. SIAM Journal of Applied Dynamical Systems. 2016;15(1):106-124.Edit
Hexagonal Projected Symmetries. Acta Crystallographica Section A: Foundations and Advances. 2015;71(5):549-558.Edit
A heteroclinic network in mode interaction with symmetry. Dyn. Syst.. 2010;25:359-396.Edit
Global saddles for planar maps. Journal of Dynamics and Differential Equations. In Press.
Global generic dynamics close to symmetry. J. Differential Equations. 2012;253:2527-2557.Edit
Global dynamics for symmetric planar maps. Discrete Contin. Dyn. Syst.. 2013;33:2241-2251.
Global bifurcations close to symmetry. Journal of Mathematical Analysis and Applications. 2016;444(1):648-671.Edit
Flowers or weeds? Bol. Soc. Port. Mat.. 2005:23-34.
An extension of the absolute reaction rate theory as applied to physiological rate processes. Ciência e Cultura. 1997;49(3):177-189.Edit
Dynamics near a Heteroclinic network. Nonlinearity. 2005;18:391-414.
Dynamics near a heteroclinic network. Nonlinearity. 2005;18:391-414.
The discrete Markus-Yamabe problem for symmetric planar polynomial maps. Indag. Math. (N.S.). 2012;23:603-608.
Density of first Poincaré returns, periodic orbits, and Kolmogorov-Sinai entropy. Commun. Nonlinear Sci. Numer. Simul.. 2011;16:863-875.Edit
Dense heteroclinic tangencies near a Bykov cycle. Journal of Differential Equations. 2015; 259(11):5875-5902.