Isabel Salgado Labouriau

In Press
Alarcón B, Castro SB, Labouriau IS. Global saddles for planar maps. Journal of Dynamics and Differential Equations. In Press.
2017
Oliveira JF, Castro SB, Labouriau IS. Projections of Pattenrs and Mode Interactions. Dynamical System: An International Journal. 2017.
Labouriau IS, Rodrigues AA. On Takens Last Problem: tangencies and time averages near heteroclinic networks. Nonlinearity . 2017;30(5):1876-1910.
Labouriau IS, Rodrigues AA. On Takens' Last Problem: tangencies and time averages near heteroclinic networks. Nonlinearity. 2017;30:1876-1910.
2016
Labouriau IS, Murza A.. Limit cycles for a class of Z_2n-equivariant systems without infinite equilibria. Electronic Journal of Differential Equations. 2016;122:1-12.
Labouriau IS, Murza AC. Hopf bifurcation with tetrahedral and octahedral symmetry. SIAM Journal of Applied Dynamical Systems. 2016;15(1):106-124.
Labouriau IS, Rodrigues AA. Global bifurcations close to symmetry. Journal of Mathematical Analysis and Applications. 2016;444(1):648-671.
2015
Oliveira JF, Castro SB, Labouriau IS. Hexagonal Projected Symmetries. Acta Crystallographica Section A: Foundations and Advances. 2015;71(5):549-558.
Labouriau IS, Rodrigues A.. Dense heteroclinic tangencies near a Bykov cycle. Journal of Differential Equations. 2015; 259(11):5875-5902.
Alarcón B, Castro SB, Labouriau IS. Discrete Symmetric Planar Dynamics. Vol Dynamics, Games and Science. CIM Series in Mathematical Sciences ed. Springer-Verlag 2015.
2014
Pinho EM, Labouriau IS. On the projection of functions invariant under the action of a crystallographic group. J. Pure Appl. Algebra. 2014;218:37-51.
Rodrigues A, Labouriau IS. Spiralling dynamics near a heteroclinic network. Physica D. 2014.
Alvarez MJ, Labouriau IS, Murza A.. 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.
Rodrigues AA, Labouriau IS. Spiralling dynamics near heteroclinic networks. Phys. D. 2014;268:34-49.
Labouriau IS, Murza A.. Periodic solutions in an array of coupled FitzHugh-Nagumo cells. J. Math. Anal. Appl.. 2014;412:29-40.
2013
Labouriau IS, Rodrigues AA. Partial symmetry breaking and heteroclinic tangencies. In: Progress and challenges in dynamical systems. Vol 54. Springer, Heidelberg; 2013. 2. p. 281-299p.
Alarcón B, Castro SB, Labouriau IS. Global dynamics for symmetric planar maps. Discrete Contin. Dyn. Syst.. 2013;33:2241-2251.
2012
Alarcón B, Castro SB, Labouriau IS. A local but not global attractor for a Z_n-symmetric map. J. Singul.. 2012;6:1-14.
Labouriau IS, Rodrigues AA. Global generic dynamics close to symmetry. J. Differential Equations. 2012;253:2527-2557.
Alarcón B, Castro SB, Labouriau IS. The discrete Markus-Yamabe problem for symmetric planar polynomial maps. Indag. Math. (N.S.). 2012;23:603-608.
Alarcón B, Castro SB, Labouriau IS. A local but not global attractor for a $\Bbb Z_n$-symmetric map. J. Singul.. 2012;6:1-14.
2011
Rodrigues AA, Labouriau IS, Aguiar MA. Chaotic double cycling. Dyn. Syst.. 2011;26:199-233.
Pinto PR, Baptista M., Labouriau IS. Density of first Poincaré returns, periodic orbits, and Kolmogorov-Sinai entropy. Commun. Nonlinear Sci. Numer. Simul.. 2011;16:863-875.
2010
Castro SB, Labouriau IS, Podvigina O. A heteroclinic network in mode interaction with symmetry. Dyn. Syst.. 2010;25:359-396.
Rodrigues AA, Labouriau IS, Aguiar MA. A chaotic carousel: dynamics near heteroclinic networks. Bol. Soc. Port. Mat.. 2010:103-109.
Rodrigues AA, Labouriau IS, Aguiar MA. Um carrossel caótico: dinâmica perto de redes heteroclínicas 2010.
Labouriau IS, Pinto PR. 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.
Aguiar MA, Labouriau IS, Rodrigues AA. Switching near a network of rotating nodes. Dyn. Syst.. 2010;25:75-95.
2006
Labouriau IS, Pinho EM. Symmetries of projected wallpaper patterns. Math. Proc. Cambridge Philos. Soc.. 2006;141:421-441.
Aguiar MA, Castro SB, Labouriau IS. Simple vector fields with complex behaviour. Int. Jour. of Bifurcation and Chaos. 2006;16(2).
Labouriau IS, Ruas MA. Invariants for bifurcations. Houston J. Math.. 2006;32:445-458.
Aguiar MA, Castro SB, Labouriau IS. Simple vector fields with complex behavior. Internat. J. Bifur. Chaos Appl. Sci. Engrg.. 2006;16:369-381.
2005
Aguiar MA, Castro SB, Labouriau IS. Dynamics near a Heteroclinic network. Nonlinearity. 2005;18:391-414.
Abreu S, Castro SB, Labouriau IS. Flowers or weeds? Bol. Soc. Port. Mat.. 2005:23-34.
Aguiar MA, Castro SB, Labouriau IS. Dynamics near a heteroclinic network. Nonlinearity. 2005;18:391-414.
2004
Labouriau IS, Alves-Pinto C. Loss of synchronization in partially coupled Hodgkin-Huxley equations. Bull. Math. Biol.. 2004;66:539-557.
2003
Aguiar MA, Castro SB, Labouriau IS. Switching along a network. In: International Conference on Differential Equations, Equadiff 2003, Hasselt, Belgium .; 2003. 4. p. 449-451p.
Labouriau IS, Rodrigues HM. Synchronization of coupled equations of Hodgkin-Huxley type. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.. 2003;10:463-476.
2001
Aguiar MA, Castro SB, Labouriau IS. Path Formulation for a Modal Family. Portugaliae Mathematica. 2001;58(4):407-424.
2000
Castro SB, Labouriau IS. Counting Persistent Pitchforks. Vol V International Workshop on Real and Complex Singularities São Carlos SP Brazil: CRC press 2000.
1997
Labouriau L., Labouriau IS. An extension of the absolute reaction rate theory as applied to physiological rate processes. Ciência e Cultura. 1997;49(3):177-189.
1996
Labouriau IS, Dias AP. 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.
Labouriau IS, Ruas MA. Singularities of equations of Hodgkin-Huxley type. Dynam. Stability Systems. 1996;11:91-108.
Labouriau IS, Dias AP. Instant chaos is chaos in slow motion. J. Math. Anal. Appl.. 1996;199:138-148.
1993
Guckenheimer J., Labouriau IS. Bifurcation of the Hodgkin and Huxley equations: a new twist. Bulletin of Mathematical Biology. 1993;55(5):937-952.
1991
Labouriau L., Labouriau IS. The Arrhenius plot of a physiological rate process is never linear. Ciência e Cultura. 1991;43(5):363-369.
1989
Farr W., Li C, Labouriau IS, Langford W.. Degenerate Hopf bifurcation formulas and Hilbert's 16th problem. SIAM J. Math. Anal.. 1989;20:13-30.
Labouriau IS. Degenerate Hopf bifurcation and nerve impulse. II. SIAM J. Math. Anal.. 1989;20:1-12.
1985
Labouriau IS. Degenerate Hopf bifurcation and nerve impulse. SIAM J. Math. Anal.. 1985;16:1121-1133.
Labouriau IS. Note on the unfolding of degenerate Hopf bifurcation germs. J. Differential Equations. 1985;57:436-439.