Publications
A feedforward model for the formation of a grid field where spatial information is provided solely from place cells. Biological Cybernetics. 2014;108:133-143.
[2005-27] Hysteresis in a tatonnement process .
From singularity theory to finiteness of Walrasian equilibria. Math. Social Sci.. 2013;66:169-175.Edit
Symmetry and bifurcation of periodic solutions in Neumann boundary value problems. Port. Math.. 2008;65:373-385.
[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).
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
Curved Pythagorean triangles. Vol 69 Bol. Soc. Port. Mat. 2013.Edit
Intersection and linking numbers in oriented matroids. Discrete Comput. Geom.. 2004;31:305-321.Edit
Persistence of Bowen-Ruelle-Sinai measures. Discrete and Continuous Dynamical Systems. 2007;17(1):213-221.
Double Ore extensions versus iterated Ore extensions. Comm. Algebra. 2011;39:2838-2848.Edit
Semigroup actions of expanding maps. Journal of Statistical Physics. 2017;166(1):114-136.Edit
The C^1 interior of zero entropy diffeomorphisms. Portugaliae Mathematica. 1996;53(1):89-95.
Prime links in some skew-polynomial and skew-Laurent rings. Comm. Algebra. 1997;25:1443-1469.
Imperfect friezes of integers. Vol 67 Bol. Soc. Port. Mat. 2012.
Bowen-Ruelle-Sinai measures for n-dimensional derived from Anosov diffeomorphisms. Ergodic Theory & Dynamical Systems. 1993;13:21-44.
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 .