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Identification

Personal identification

Full name
Isabel Salgado Labouriau

Citation names

  • Labouriau, Isabel
  • Labouriau, Isabel Salgado

Author identifiers

Ciência ID
5A1E-9D6C-2F63
ORCID iD
0000-0003-1131-8746

Websites

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English (Mother tongue)
Spanish; Castilian Proficiency (C2) Proficiency (C2) Advanced (C1) Proficiency (C2) Proficiency (C2)
French Advanced (C1) Proficiency (C2) Upper intermediate (B2) Advanced (C1) Proficiency (C2)
Italian Intermediate (B1) Upper intermediate (B2) Elementary (A2) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2006/02/01 - 2006/02/02
Concluded
 Agregação em Matemática (Título de Agregado)
Major in Matemática
Universidade do Porto Departamento de Matemática, Portugal
 aprovada
1979/10/02 - 1984/07/01
Concluded
 PhD in Mathematics (Doctor of Philosophy)
Major in Matemática
University of Warwick, United Kingdom
"Applications of singularity theory to neurobiology" (THESIS/DISSERTATION)
 aprovada
1978/10/01 - 1979/10/01
Concluded
 MSc in Mathematics (Master)
Major in Matemática
University of Warwick, United Kingdom
"Nerve impulse equations" (THESIS/DISSERTATION)
 aprovada
1975/03/01 - 1977/05/02
Concluded
 Mestrado em Matemática Aplicada (Master)
Major in Matemática Aplicada
Universidade de Brasília, Brazil
 4,2 em 5
1972/01/02 - 1974/12/31
Concluded
 Matemática (Bachelor)
Major in Matemática
Universidade de Brasília, Brazil
 4,6 em 5
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
1989/04/02 - 2024/05/02 Associate Professor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
1984/11/02 - 1989/04/01 Assistant Professor (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
1983/11/02 - 1984/11/01 Assistant (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
1983/03/01 - 1983/11/01 Invited Assistant (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal

Positions / Appointments

Category
Host institution 		Employer
2018/11 - 2023/02 Conselho científico/técnico-científico ou orgão correspondente Universidade do Porto, Portugal
2007/01 - 2009/07 Organic Unit Vice-President Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
1995/01 - 2005/12 Manager of Laboratory, Institute, Museum, Centre or Observatory Universidade do Porto/ Centro de Matemática Aplicada, Portugal
Universidade do Porto/ Centro de Matemática Aplicada, Portugal
Projects

Contract

Designation Funders
2010/01/02 - 2010/04/01 SINGULARIDADES E DINÂMICA
SFRH/BSAB/991/2010
Universidade de São Paulo, Brazil

Universidade do Porto, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2002/10/01 - 2003/07/31 BIFURCAÇÃO DE SOLUÇÕES DE EQUAÇÕES DIFERENCIAIS
SFRH/BSAB/292/2002
Universidade do Porto, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book chapter
  1. Gomes, MGM; Labouriau, IS; Pinho, EM. "Spatial Hidden Symmetries in Pattern Formation". 1999.
    10.1007/978-1-4612-1558-5_7
Conference paper
  1. Alarcon, B; Castro, SBSD; Labouriau, IS. "Discrete Symmetric Planar Dynamics". 2015.
    10.1007/978-3-319-16118-1_2
  2. Labouriau, IS; Rodrigues, AAP. "Partial Symmetry Breaking and Heteroclinic Tangencies". 2013.
    10.1007/978-3-642-38830-9_17
  3. Labouriau, IS; Pinho, EM. "Projected wallpaper patterns". 2007.
    10.1007/978-3-7643-7776-2_15
  4. Pinto, CMA; Labouriau, IS. "Two coupled neurons". 2006.
    10.1109/icccyb.2006.305706
  5. Aguiar, MAD; Castro, SBSD; Labouriau, IS. "Switching along a network". 2005.
    10.1142/9789812702067_0071
  6. Castro, SBSD; Labouriau, IS. "Counting persistent pitchforks". 2000.
Journal article
  1. Labouriau, Isabel S.; Rodrigues, Alexandre A.P.. "Transitions of bifurcation diagrams of a forced heteroclinic cycle". Journal of Mathematical Analysis and Applications 546 2 (2025): 129223. https://doi.org/10.1016/j.jmaa.2025.129223.
    10.1016/j.jmaa.2025.129223
  2. Isabel S. Labouriau; Alexandre A. P. Rodrigues. "High frequency forcing of an attracting heteroclinic cycle". Portugaliae Mathematica (2024): https://doi.org/10.4171/pm/2128.
    10.4171/pm/2128
  3. Castro, SBSD; Ferreira, AMJ; Labouriau, IS. "Stability of cycles and survival in a jungle game with four species". Dynamical Systems An International Journal 39 3 (2024): 389-407. https://www.authenticus.pt/P-00Z-YTW.
    Published • 10.1080/14689367.2024.2307515
  4. Alarcón, B; Castro, SBSD; Labouriau, IS. "Global planar dynamics with a star node and contracting nonlinearity". RESEARCH IN THE MATHEMATICAL SCIENCES (2024): https://www.authenticus.pt/P-010-4R9.
    10.1007/s40687-024-00427-0
  5. Sofia B.S.D. Castro; Ana M. Ferreira; Liliana Garrido-da-Silva; Isabel Labouriau. "Stability of cycles in a game of Rock-Scissors-Paper-Lizard-Spock". SIAM Journal of Applied Dynamical Systems (2022): https://epubs.siam.org/doi/10.1137/21M1435215.
    10.1137/21M1435215
  6. Isabel S. Labouriau; Alexandre A. P. Rodrigues. "Periodic Forcing of a Heteroclinic Network". Journal of Dynamics and Differential Equations (2021): https://doi.org/10.1007/s10884-021-10054-w.
    10.1007/s10884-021-10054-w
  7. Olga Podvigina; Sofia B S D Castro; Isabel S Labouriau. "Asymptotic stability of robust heteroclinic networks". Nonlinearity (2020): https://doi.org/10.1088/1361-6544/ab6817.
    10.1088/1361-6544/ab6817
  8. Baptistelli, P.H.; Labouriau, I.S.; Manoel, M.. "Recognition of symmetries in reversible maps". Journal of Mathematical Analysis and Applications 491 2 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85087896299&partnerID=MN8TOARS.
    10.1016/j.jmaa.2020.124348
  9. Labouriau, I.S.; Sovrano, E.. "Chaos in periodically forced reversible vector fields". Journal of Singularities 22 (2020): 227-240. http://www.scopus.com/inward/record.url?eid=2-s2.0-85097768185&partnerID=MN8TOARS.
    10.5427/jsing.2020.22p
  10. Labouriau, IS; Rodrigues, AAP. "Bifurcations from anattracting heteroclinic cycle under periodic forcing". JOURNAL OF DIFFERENTIAL EQUATIONS (2020):
    10.1016/j.jde.2020.03.024
  11. Podvigina, O; Castro, SBSD; Labouriau, IS. "Stability of a heteroclinic network and its cycles: a case study from Boussinesq convection". DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL (2019):
    10.1080/14689367.2018.1486807
  12. Castro, SBSD; Labouriau, IS; Oliveira, JF. "Projections of patterns and mode interactions". DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL (2018):
    10.1080/14689367.2017.1401590
  13. Labouriau, I.S.; Rodrigues, A.A.P.; Isabel S Labouriau; Alexandre A P Rodrigues. "On Takens' last problem: Tangencies and time averages near heteroclinic networks". Nonlinearity 30 5 (2017): 1876-1910. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018505444&partnerID=MN8TOARS.
    10.1088/1361-6544/aa64e9
  14. Isabel S. Labouriau; Alexandre A.P. Rodrigues; Isabel S Labouriau; Murza, AC; Alexandre A P Rodrigues; Labouriau, IS. "Global bifurcations close to symmetry". Journal of Mathematical Analysis and Applications 444 1 (2016): 648-671. https://doi.org/10.1016/j.jmaa.2016.06.032.
    10.1016/j.jmaa.2016.06.032
  15. Labouriau, IS; Murza, AC. "LIMIT CYCLES FOR Z(2n)-EQUIVARIANT SYSTEMS WITHOUT INFINITE EQUILIBRIA". ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (2016):
  16. Alarcón, B; Castro, SBSD; Isabel S Labouriau; Alarcon, B; Labouriau, IS. "Global Saddles for Planar Maps". JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2016): https://repositorio-aberto.up.pt/handle/10216/90671.
    10.1007/s10884-016-9561-3
  17. Oliveira, JF; Castro, SBSD; Labouriau, IS. "Hexagonal projected symmetries". ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES (2015): https://www.authenticus.pt/P-00G-KVQ.
    10.1107/s2053273315012905
  18. Isabel S Labouriau; Alexandre A P Rodrigues; Isabel S. Labouriau; Alexandre A.P. Rodrigues. "Dense heteroclinic tangencies near a Bykov cycle". Journal of Differential Equations 259 11 (2015): 5875-5902. https://hdl.handle.net/10216/90677.
    10.1016/j.jde.2015.07.017
  19. Alvarez, M.J.; Labouriau, I.S.; Murza, A.C.; Alvarez, MJ; Labouriau, IS; Murza, AC. "Limit cycles for a class of quintic Z6-equivariant systems without infinite critical points". Bulletin of the Belgian Mathematical Society - Simon Stevin 21 5 (2014): 841-857. http://www.scopus.com/inward/record.url?eid=2-s2.0-84968802874&partnerID=MN8TOARS.
    10.36045/bbms/1420071857
  20. Rodrigues, A.A.P.; Labouriau, I.S.. "Spiralling dynamics near heteroclinic networks". Physica D: Nonlinear Phenomena 268 (2014): 34-49. http://www.scopus.com/inward/record.url?eid=2-s2.0-84888425130&partnerID=MN8TOARS.
    10.1016/j.physd.2013.10.012
  21. Pinho, E.M.; Labouriau, I.S.. "On the projection of functions invariant under the action of a crystallographic group". Journal of Pure and Applied Algebra 218 1 (2014): 37-51. http://www.scopus.com/inward/record.url?eid=2-s2.0-84886639835&partnerID=MN8TOARS.
    10.1016/j.jpaa.2013.04.010
  22. Labouriau, I.S.; Murza, A.C.. "Periodic solutions in an array of coupled FitzHugh-Nagumo cells". Journal of Mathematical Analysis and Applications 412 1 (2014): 29-40. http://www.scopus.com/inward/record.url?eid=2-s2.0-84891011392&partnerID=MN8TOARS.
    10.1016/j.jmaa.2013.10.041
  23. Alarcón, B.; Castro, S.B.S.D.; Labouriau, I.S.. "Global dynamics for symmetric planar maps". Discrete and Continuous Dynamical Systems- Series A 33 6 (2013): 2241-2251. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872143192&partnerID=MN8TOARS.
    10.3934/dcds.2013.33.2241
  24. Alarcón, B.; Castro, S.B.S.D.; Labouriau, I.S.. "A local but not global attractor for a Zn-symmetric map". Journal of Singularities 6 (2012): 1-14. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866134068&partnerID=MN8TOARS.
    10.5427/jsing.2012.6a
  25. Labouriau, I.S.; Rodrigues, A.A.P.. "Global generic dynamics close to symmetry". Journal of Differential Equations 253 8 (2012): 2527-2557. http://www.scopus.com/inward/record.url?eid=2-s2.0-84864292151&partnerID=MN8TOARS.
    10.1016/j.jde.2012.06.009
  26. Alarcón, B.; Castro, S.B.S.D.; Labouriau, I.S.. "The discrete Markus-Yamabe problem for symmetric planar polynomial maps". Indagationes Mathematicae 23 3 (2012): 603-608. http://www.scopus.com/inward/record.url?eid=2-s2.0-84864130428&partnerID=MN8TOARS.
    10.1016/j.indag.2012.06.001
  27. Rodrigues, A.A.P.; Labouriau, I.S.; Aguiar, M.A.D.. "Chaotic double cycling". Dynamical Systems 26 2 (2011): 199-233. http://www.scopus.com/inward/record.url?eid=2-s2.0-79956216597&partnerID=MN8TOARS.
    10.1080/14689367.2011.557179
  28. Pinto, P.R.F.; Baptista, M.S.; Labouriau, I.S.. "Density of first Poincaré returns, periodic orbits, and Kolmogorov-Sinai entropy". Communications in Nonlinear Science and Numerical Simulation 16 2 (2011): 863-875. http://www.scopus.com/inward/record.url?eid=2-s2.0-77956063831&partnerID=MN8TOARS.
    10.1016/j.cnsns.2010.05.018
  29. Castro, S.B.S.D.; Labouriau, I.S.; Podvigina, O.. "A heteroclinic network in mode interaction with symmetry". Dynamical Systems 25 3 (2010): 359-396. http://www.scopus.com/inward/record.url?eid=2-s2.0-77958182283&partnerID=MN8TOARS.
    10.1080/14689367.2010.506183
  30. Aguiar, M.A.D.; Labouriau, I.S.; Rodrigues, A.A.P.. "Switching near a network of rotating nodes". Dynamical Systems 25 1 (2010): 75-95. http://www.scopus.com/inward/record.url?eid=2-s2.0-77949590053&partnerID=MN8TOARS.
    10.1080/14689360903252119
  31. Aguiar, MAD; Castro, SBSD; Labouriau, IS. "Simple vector fields with complex behavior". INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS (2006): https://www.authenticus.pt/P-004-NEX.
    10.1142/s021812740601485x
  32. Labouriau, IS; Ruas, MAS. "Invariants for bifurcations". HOUSTON JOURNAL OF MATHEMATICS (2006): https://www.authenticus.pt/P-004-PT3.
  33. Labouriau, IS; Pinho, EM. "Symmetries of projected wallpaper patterns". MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY (2006): https://www.authenticus.pt/P-004-GDP.
    10.1017/s0305004106009534
  34. Aguiar, M.A.D.; Castro, S.B.S.D.; Labouriau, I.S.. "Dynamics near a heteroclinic network". Nonlinearity 18 1 (2005): 391-414. http://www.scopus.com/inward/record.url?eid=2-s2.0-11844279059&partnerID=MN8TOARS.
    10.1088/0951-7715/18/1/019
  35. Labouriau, I.S.; Alves-Pinto, C.. "Loss of synchronization in partially coupled Hodgkin-Huxley equations". Bulletin of Mathematical Biology 66 3 (2004): 539-557. http://www.scopus.com/inward/record.url?eid=2-s2.0-1542547928&partnerID=MN8TOARS.
    10.1016/j.bulm.2003.09.006
  36. Labouriau, IS; Rito, CMSG. "Stability of equilibria in equations of Hodgkin-Huxley type". Contemporary Mathematics 354 (2004): 137-143. https://www.authenticus.pt/P-00H-PZB.
    Published • 10.1090/conm/354/06479
  37. Labouriau, IS; Rodrigues, HM. "Synchronization of coupled equations of Hodgkin-Huxley type". DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS (2003): https://www.authenticus.pt/P-000-HV2.
  38. Labouriau, Luiz F.G.; Isabel S. Labouriau. Corresponding author: Isabel S. Labouriau. "An extension of the absolute reaction rate theory as applied to physiological rate processes". Ciência e Cultura 16 (1997): 1121-1133.
    Published
  39. Labouriau, I.S.; Dias, A.P.S.. "Instant chaos is chaos in slow motion". Journal of Mathematical Analysis and Applications 199 1 (1996): 138-148. http://www.scopus.com/inward/record.url?eid=2-s2.0-0030123844&partnerID=MN8TOARS.
    10.1006/jmaa.1996.0131
  40. Labouriau, IS; Ruas, MAS. "Singularities of equations of Hodgkin-Huxley type". DYNAMICS AND STABILITY OF SYSTEMS (1996): https://www.authenticus.pt/P-001-E5V.
    10.1080/02681119608806218
  41. GUCKENHEIMER, J; LABOURIAU, IS. "BIFURCATION OF THE HODGKIN AND HUXLEY EQUATIONS - A NEW TWIST". BULLETIN OF MATHEMATICAL BIOLOGY (1993): https://www.authenticus.pt/P-001-MP7.
    10.1007/bf02460693
  42. Labouriau, LG; Isabel S Labouriau. "The Arrhenius plot of a physiological rate process is never linear". Ciência e Cultura 43 5 (1991): 363-369.
    Published
  43. LABOURIAU, IS. "DEGENERATE HOPF-BIFURCATION AND NERVE IMPULSE .part 2.". SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20 1 (1989): 1-12. https://www.authenticus.pt/P-001-T0T.
    Published • 10.1137/0520001
  44. FARR, WW; LI, CZ; LABOURIAU, IS; LANGFORD, WF. "DEGENERATE HOPF-BIFURCATION FORMULAS AND HILBERTS 16TH PROBLEM". SIAM JOURNAL ON MATHEMATICAL ANALYSIS (1989): https://www.authenticus.pt/P-001-T0V.
    10.1137/0520002
  45. LABOURIAU, IS. "NOTE ON THE UNFOLDING OF DEGENERATE HOPF-BIFURCATION GERMS". JOURNAL OF DIFFERENTIAL EQUATIONS (1985): https://www.authenticus.pt/P-001-WDS.
    10.1016/0022-0396(85)90064-6
  46. Labouriau, Isabel. "Degenerate Hopf bifurcation and nerve impulse". SIAM Journal of Mathematical Analysis 16 (1985): 1121-1133.
    Published
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2020 - 2020 Attractiveness of cycles in ac-networks
Supervisor
 Matemática Aplicada (associação) (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2012 - 2017 Bifurcation of Projected Patterns
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2010 - 2014 Bifurcation of periodic solutions of differential equations with finite symmetry groups
Supervisor
 Matemática Aplicada (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2008 - 2012 Density of First Poincaré Returns and Periodic Orbits
Co-supervisor
 Matemática Aplicada (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2007 - 2012 Heteroclinic Phenomena
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
1999 - 2006 Symmetries of Projected Symmetric Patterns
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2000 - 2004 Coupled Oscillators
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
1998 - 2003 Vector Fields with Heteroclinic Networks
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
1995 - 2000 Estudo de Ciclos Heteroclinicos em Sistemas de Equações Diferênciais Ordinárias
Supervisor
 Outro ramo (PhD)
Universidade do Porto, Portugal