Publications
The disappearance of the limit cycle in a mode interaction problem with $Z_2$ symmetry. Nonlinearity. 1997;10:425-432.
Switching in heteroclinic networks. SIAM Journal on Applied Dynamical Systems (SIADS). 2016;15(2):1085-1103.Edit
[2005-27] Hysteresis in a tatonnement process .
A heteroclinic network in mode interaction with symmetry. Dyn. Syst.. 2010;25:359-396.Edit
The core-periphery model with three regions and more. PAPERS IN REGIONAL SCIENCE. 2012;91(2):401-418.Edit
Infinite periodic points of endomorphisms over special confluent rewriting systems. Ann. Inst. Fourier (Grenoble). 2009;59:769-810.Edit
Infinite words and confluent rewriting systems: endomorphism extensions. Internat. J. Algebra Comput.. 2009;19:443-490.Edit
Extremal dichotomy for uniformly hyperbolic systems. Dyn. Syst.. 2015;30:383-403.Edit
Complete set of invariants for a Bykov attractor. Regular and Chaotic Dynamics. 2018;23(3):227-247.Edit
Periodic points of Ruelle-expanding maps. Qualitative Theory of Dynamical Systems. 2014;Volume 13(Issue 2 ):215-251 .
The chord method. Vol Special Issue - Euler's tercentenary year Bol. Soc. Port. Mat. 2008.
On the Lyapunov spectrum of infinite dimensional random products of compact operators. Stochastics and Dynamics. 2008;8(4):1-19.
A note on reversibility and Pell equations. Vol 75 SPM 2017.Edit
Down-up algebras and their representation theory. J. Algebra. 2000;228:286-310.Edit
Entropy dimension of dynamical systems. Portugaliae Mathematica. 1997;54(1):19-40.
Geometric orbits. Mathematical Intelligencer. 2012;34(2):56-62.Edit
First homoclinic tangencies on the boundary of Anosov diffeomorphisms. Discrete and Continuous Dynamical Systems. 1998;4(4):765-782.
Convergence of p-adic series. Vol 72 Bol. Soc. Port. Mat. 2015.Edit
O método de Diofanto e a curva a^b = b^a SPM In Press.Edit