Publications
[2015-12] Construction of heteroclinic networks in R4 .Edit
Counting persistent pitchforks. In: Real and complex singularities (São Carlos, 1998). Vol 412. Chapman & Hall/CRC, Boca Raton, FL; 2000. 2. p. 215-222p. (Chapman & Hall/CRC Res. Notes Math.; vol 412).
Switching in heteroclinic networks. SIAM Journal on Applied Dynamical Systems (SIADS). 2016;15(2):1085-1103.Edit
Phase precession through acceleration of local theta rhythm: A biophysical model for the interaction between place cells and local inhibitory neurons. Journal of Computational Neuroscience. 2012;33:141-150.
Mode interactions with spherical symmetry. Internat. J. Bifur. Chaos Appl. Sci. Engrg.. 1994;4:885-904.
Learning by replicator and best-response: the importance of being indifferent. Journal of Evolutionary Economics. In Press.
Direct perturbations of aggregate excess demand. J. Math. Econom.. 2010;46:562-571.Edit
Infinite words and confluent rewriting systems: endomorphism extensions. Internat. J. Algebra Comput.. 2009;19:443-490.Edit
Infinite periodic points of endomorphisms over special confluent rewriting systems. Ann. Inst. Fourier (Grenoble). 2009;59:769-810.Edit
Commuting expanding dynamics. Portugaliae Mathematica. 1999;56(4):443-463.
Periodic points of Ruelle-expanding maps. Qualitative Theory of Dynamical Systems. 2014;Volume 13(Issue 2 ):215-251 .
A note on reversibility and Pell equations. Vol 75 SPM 2017.Edit
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.
Down-up algebras and their representation theory. J. Algebra. 2000;228:286-310.Edit
Geometric orbits. Mathematical Intelligencer. 2012;34(2):56-62.Edit
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
First homoclinic tangencies on the boundary of Anosov diffeomorphisms. Discrete and Continuous Dynamical Systems. 1998;4(4):765-782.
Dynamics of a quasi-quadratic map. Journal of Difference Equations and Applications. 2014;20 (1):36-48.Edit
Quantitative recurrence for free semigroup actions. Nonlinearity. 2018;31(3):864-886.Edit