Publications
The Arrhenius plot of a physiological rate process is never linear. Ciência e Cultura. 1991;43(5):363-369.Edit
Bifurcation of the Hodgkin and Huxley equations: a new twist. Bulletin of Mathematical Biology. 1993;55(5):937-952.Edit
A chaotic carousel: dynamics near heteroclinic networks. Bol. Soc. Port. Mat.. 2010:103-109.Edit
[2009-46] Chaotic Double Cycling .
Chaotic double cycling. Dyn. Syst.. 2011;26:199-233.Edit
[2006-16] Construction of Symmetric Heteroclinic Cycles .
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).
Degenerate Hopf bifurcation and nerve impulse. SIAM J. Math. Anal.. 1985;16:1121-1133.
Degenerate Hopf bifurcation and nerve impulse. II. SIAM J. Math. Anal.. 1989;20:1-12.
Degenerate Hopf bifurcation formulas and Hilbert's 16th problem. SIAM J. Math. Anal.. 1989;20:13-30.Edit
Dense heteroclinic tangencies near a Bykov cycle. Journal of Differential Equations. 2015; 259(11):5875-5902.
Density of first Poincaré returns, periodic orbits, and Kolmogorov-Sinai entropy. Commun. Nonlinear Sci. Numer. Simul.. 2011;16:863-875.Edit
The discrete Markus-Yamabe problem for symmetric planar polynomial maps. Indag. Math. (N.S.). 2012;23:603-608.
Discrete Symmetric Planar Dynamics. Vol Dynamics, Games and Science. CIM Series in Mathematical Sciences ed. Springer-Verlag 2015.
[2004-8] Dynamics near a heteroclinic network .
Dynamics near a Heteroclinic network. Nonlinearity. 2005;18:391-414.
Dynamics near a heteroclinic network. Nonlinearity. 2005;18:391-414.
An extension of the absolute reaction rate theory as applied to physiological rate processes. Ciência e Cultura. 1997;49(3):177-189.Edit
Flowers or weeds? Bol. Soc. Port. Mat.. 2005:23-34.
The geometry of Hopf and saddle-node bifurcations for waves of Hodgkin-Huxley type. In: Real and complex singularities. Vol 380. Cambridge Univ. Press, Cambridge; 2010. 2. p. 229-245p. Edit
The geometry of Hopf and saddle-node bifurcations for waves of Hodgkin-Huxley type. In: Real and complex singularities. Vol 380. Cambridge Univ. Press, Cambridge; 2010. 2. p. 229-245p. (London Math. Soc. Lecture Note Ser.; vol 380).Edit
[2015-10] Global bifurcations close to symmetry .Edit