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Sou Mário Bessa, dinamicista, membro integrado do Centro de Matemática da Universidade do Porto e Professor Catedrático na Secção de Matemática do Departamento de Ciências e Tecnologia da Universidade Aberta. Doutorei-me no IMPA sob a orientação do Professor Marcelo Viana e previamente estudei na Faculdade de Ciências da Universidade do Porto. A minha investigação centra-se no estudo dos Sistemas Dinâmicos que é uma área multidisciplinar da Matemática. Esta área pretende estudar modelos matemáticos e prever a sua evolução no tempo sendo célebre o chamado "efeito borboleta" (o bater de asas de uma pequena borboleta pode eventualmente provocar um furacão do outro lado do mundo!). Tenho mais de meia centena de artigos publicados em revistas internacionais, cerca de cem matemáticos leram e acharam interessantes os meus resultados ao ponto de os citarem e quase três dezenas de colaboradores que têm a enorme generosidade e paciência para trabalhar comigo! - I'm Mário Bessa, a dynamicist, member of CMUP (Mathematics Centre of the University of Porto) and Full Professor in the Mathematics Section of the Science and Technology Department of the Universidade Aberta. I did my PhD at IMPA under the supervision of Professor Marcelo Viana and previously studied at the Faculty of Sciences of the University of Porto. My research is centred on the study of Dynamical Systems, which is a multidisciplinary area of Mathematics. This area aims to study mathematical models and predict their evolution over time. The so-called "butterfly effect" (the flapping of a small butterfly's wings can cause a hurricane on the other side of the world!) is famous. I have more than half a hundred articles published in international journals, around a hundred mathematicians who have read and found my results interesting to the point of citing them, and almost three dozen collaborators who have the enormous generosity and patience to work with me!
Read full resume ↓
Identification

Personal identification

Full name
Mário Bessa

Citation names

  • Bessa, Mário

Author identifiers

Ciência ID
C21A-EEC0-A3EF
ORCID iD
0000-0002-1758-2225
Google Scholar ID
https://scholar.google.com/citations?user=088yCR4AAAAJ&hl=pt-PT

Email addresses

  • bessa@fc.up.pt (Professional)
  • mario.costa@uab.pt (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Education
Degree Classification
2019/06/11 - 2019/06/12
Concluded
 Matemática e Aplicações (Título de Agregado)
Major in Matemática e Aplicações
Universidade da Beira Interior, Portugal
 Aprovado por unanimidade
2005
Concluded
 Matemática (Doutoramento)
Instituto Nacional de Matemática Pura e Aplicada, Brazil
"The Lyapunov exponents of conservative continuous-time dynamical systems" (THESIS/DISSERTATION)
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2024/02/14 - Current Full Professor (University Teacher) Universidade Aberta, Portugal
2023/03/06 - 2024/02/13 Assistant Professor (University Teacher) Universidade Aberta, Portugal
2011/08 - 2023/03/06 Associate Professor (University Teacher) Universidade da Beira Interior, Portugal
Universidade da Beira Interior, Portugal
2007 - 2011 Adjunct Teacher (Polytechnic Teacher) Instituto Politécnico de Coimbra, Portugal
Instituto Politécnico de Coimbra Escola Superior de Tecnologia e Gestão de Oliveira do Hospital, Portugal
2005 - 2006 Invited Assistant Professor (University Teacher) Universidade do Minho - Campus de Azurém, Portugal
Projects

Contract

Designation Funders
2022/01/17 - 2025/01/16 Médias e Extremos em Sistemas Dinâmicos
PTDC/MAT-PUR/4048/2021
Universidade do Porto Centro de Matemática, Portugal

Universidade do Porto Faculdade de Ciências, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2022/01/17 - 2025/01/16 Means and Extremes in Dynamical Systems
PTDC/MAT-PUR/4048/2021
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2018 - 2021 New trends in Lyapunov exponents
PTDC/MAT-PUR/29126/2017
Researcher
Fundação para a Ciência e a Tecnologia
Ongoing
2019/01/01 - 2019/12/31 Centre for Mathematics of the University of Porto
UID/MAT/00144/2019
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2010 - 2013 Invariantes Topológicos via Geometria Diferencial
PTDC/MAT/098770/2008
Researcher
Fundação para a Ciência e a Tecnologia
Concluded
2008 - 2013 Dinâmica Não-uniformemente Hiperbólica
PTDC/MAT/099493/2008
Researcher
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2012/12/31 Projecto Estratégico - UI 144 - 2011-2012
PEst-C/MAT/UI0144/2011
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Porto Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Conference paper
  1. Bessa, Mário; Rocha, Jorge; Torres, Maria Joana. "Estabilidade de Hamiltonianos". 2016.
    Published
  2. Bessa, M.; Dias, J.L.. "Generic hamiltonian dynamical systems: An overview". 2011.
    10.1007/978-3-642-11456-4_8
  3. Bessa, M.. "Area-preserving diffeomorphisms from the C1 standpoint". 2011.
    10.1007/978-3-642-14788-3_15
Edited book
  1. Bessa, Mário; Lopes Dias, João; Bezerra, Jamerson; Mauricio Poletti; Ao Cai; Anders Karlsson; Reza Mohammadpour; Paulo Varandas; Adriana Sánchez, ed. New Trends in Lyapunov Exponents. Springer International Publishing. 2023.
    Published • 10.1007/978-3-031-41316-2
Journal article
  1. Bessa, Mário; Lopes Dias, João; Matias, Pedro; Torres, Maria Joana. "Positive topological entropy for semi-Riemannian geodesic flows". Proceedings of the American Mathematical Society 153 9 (2025): 3987-3998. https://doi.org/10.1090/proc/17337.
    Published • 10.1090/proc/17337
  2. Dinis Amaro; Mário Bessa; Helder Vilarinho. "Simple Lyapunov spectrum for linear homogeneous differential equations with $$L^p$$ parameters". Nonlinear Differential Equations and Applications NoDEA (2024): http://dx.doi.org/10.1007/s00030-024-00931-w.
    10.1007/s00030-024-00931-w
  3. Mário Bessa; Gianluigi Del Magno; João Lopes Dias; José Pedro Gaivão; Maria Joana Torres. "Billiards in generic convex bodies have positive topological entropy". Advances in Mathematics (2024): http://dx.doi.org/10.1016/j.aim.2024.109592.
    10.1016/j.aim.2024.109592
  4. Dinis Amaro; Mário Bessa; Helder Vilarinho. "Genericity of trivial Lyapunov spectrum for L-cocycles derived from second order linear homogeneous differential equations". Journal of Differential Equations (2024): https://doi.org/10.1016/j.jde.2023.10.033.
    10.1016/j.jde.2023.10.033
  5. Mário Bessa. "Lyapunov exponents and entropy for divergence-free Lipschitz vector fields". European Journal of Mathematics (2023): https://doi.org/10.1007/s40879-023-00611-6.
    10.1007/s40879-023-00611-6
  6. Mário Bessa. "Plenty of hyperbolicity on a class of linear homogeneous jerk differential equations". Aequationes mathematicae (2023): https://doi.org/10.1007/s00010-023-00948-z.
    10.1007/s00010-023-00948-z
  7. Mário Bessa. "Flowbox theorems for a class of Sobolev vector fields". Dynamics of Partial Differential Equations 20 1 (2023): 23-35. http://dx.doi.org/10.4310/dpde.2023.v20.n1.a2.
    10.4310/dpde.2023.v20.n1.a2
  8. Mário Bessa; Pedro Morais. "Markus–Yamabe’s conjecture for compact gradients in Hilbert spaces". São Paulo Journal of Mathematical Sciences (2022): https://doi.org/10.1007/s40863-022-00342-8.
    10.1007/s40863-022-00342-8
  9. Bessa, Mário; Dias, João Lopes; Torres, Maria Joana. "Expansiveness and Hyperbolicity in Convex Billiards". Regular and Chaotic Dynamics 26 6 (2021): 756-762. http://dx.doi.org/10.1134/s1560354721060125.
    10.1134/s1560354721060125
  10. Mário Bessa; Maria Joana Torres; Paulo Varandas. "Topological aspects of incompressible flows". Journal of Differential Equations 293 (2021): 392-417. https://doi.org/10.1016/j.jde.2021.05.030.
    10.1016/j.jde.2021.05.030
  11. Assis Azevedo; Davide Azevedo; Mário Bessa; Maria Torres. "The closing lemma and the planar general density theorem for Sobolev maps". Proceedings of the American Mathematical Society 149 4 (2021): 1687-1696. http://dx.doi.org/10.1090/proc/15352.
    10.1090/proc/15352
  12. Maria Joana Torres; Assis Azevedo ; Davide Azevedo. "The closing lemma and the planar general density theorem for Sobolev maps". Proc. Amer. Math. Soc. 149 (2021): 1687-1696. https://www.ams.org/journals/proc/2021-149-04/S0002-9939-2021-15352-5/.
    Published
  13. Mário Bessa; João Lopes Dias; Maria Joana Torres. "Hyperbolicity through stable shadowing for generic geodesic flows". Physica D: Nonlinear Phenomena 406 (2020): 132423-132423. https://doi.org/10.1016/j.physd.2020.132423.
    10.1016/j.physd.2020.132423
  14. Mário Bessa; Maria Carvalho; Alexandre A. P. Rodrigues. "The Role of the Saddle-Foci on the Structure of a Bykov Attracting Set". Qualitative Theory of Dynamical Systems 19 1 (2020): https://doi.org/10.1007/s12346-020-00373-6.
    10.1007/s12346-020-00373-6
  15. Bessa, Mário; Torres, Maria Joana. "There are no proper topological hyperbolic homoclinic classes for area-preserving maps". Proceedings of the Edinburgh Mathematical Society 63 1 (2020): 217-228. http://dx.doi.org/10.1017/s0013091519000282.
    Published • 10.1017/s0013091519000282
  16. Mário Bessa; Pedro Morais. "Straighten out coordinates for volume-preserving actions". Archiv der Mathematik (2019): https://doi.org/10.1007/s00013-019-01354-1.
    10.1007/s00013-019-01354-1
  17. Bessa, M.; Carvalho, G.F.. "The Lyapunov exponents of generic skew-product compact semiflows". Journal of Evolution Equations 19 2 (2019): 387-409. http://www.scopus.com/inward/record.url?eid=2-s2.0-85060350323&partnerID=MN8TOARS.
    10.1007/s00028-019-00479-8
  18. Azevedo, A.; Azevedo, D.; Bessa, M.; Torres, M.J.. "Sobolev homeomorphisms are dense in volume preserving automorphisms". Journal of Functional Analysis 276 10 (2019): 3261-3274. http://www.scopus.com/inward/record.url?eid=2-s2.0-85055130508&partnerID=MN8TOARS.
    10.1016/j.jfa.2018.10.008
  19. Mário Bessa; Maria Joana Torres; Paulo Varandas. "On the periodic orbits, shadowing and strong transitivity of continuous flows". Nonlinear Analysis 175 (2018): 191-209. https://doi.org/10.1016/j.na.2018.06.002.
    10.1016/j.na.2018.06.002
  20. Mário Bessa. "A Note on Expansiveness and Hyperbolicity for Generic Geodesic Flows". Mathematical Physics, Analysis and Geometry 21 2 (2018): https://doi.org/10.1007/s11040-018-9271-7.
    10.1007/s11040-018-9271-7
  21. Bessa, M.; Bochi, J.; Cambrainha, M.; Matheus, C.; Varandas, P.; Xu, D.. "Positivity of the Top Lyapunov Exponent for Cocycles on Semisimple Lie Groups over Hyperbolic Bases". Bulletin of the Brazilian Mathematical Society 49 1 (2018): 73-87. http://www.scopus.com/inward/record.url?eid=2-s2.0-85021814216&partnerID=MN8TOARS.
    10.1007/s00574-017-0048-6
  22. Bessa, M.; Rocha, J.; Varandas, P.. "Uniform hyperbolicity revisited: index of periodic points and equidimensional cycles". Dynamical Systems 33 4 (2018): 691-707. http://www.scopus.com/inward/record.url?eid=2-s2.0-85042904324&partnerID=MN8TOARS.
    10.1080/14689367.2018.1433818
  23. Bessa, M.; Silva, C.M.; Vilarinho, H.. "Stretching Generic Pesin’s Entropy Formula". Journal of Statistical Physics 173 5 (2018): 1523-1546. http://www.scopus.com/inward/record.url?eid=2-s2.0-85054293468&partnerID=MN8TOARS.
    10.1007/s10955-018-2163-1
  24. Mário Bessa; João Lopes Dias; Maria Joana Torres. "On shadowing and hyperbolicity for geodesic flows on surfaces". Nonlinear Analysis 155 (2017): 250-263. https://doi.org/10.1016%2Fj.na.2017.02.006.
    10.1016/j.na.2017.02.006
  25. Bessa, M.; Ferreira, C.; Rocha, J.; Varandas, P.. "Generic Hamiltonian Dynamics". Journal of Dynamics and Differential Equations 29 1 (2017): 203-218. http://www.scopus.com/inward/record.url?eid=2-s2.0-84924362651&partnerID=MN8TOARS.
    10.1007/s10884-015-9441-2
  26. Bessa, M.. "The flowbox theorem for divergence-free Lipschitz vector fields,Le théorème du flot tubulaire pour les champs vectoriels Lipschitz à divergence nulle". Comptes Rendus Mathematique 355 8 (2017): 881-886. http://www.scopus.com/inward/record.url?eid=2-s2.0-85025469552&partnerID=MN8TOARS.
    10.1016/j.crma.2017.07.006
  27. Bessa, M.; Stadlbauer, M.. "On the Lyapunov spectrum of relative transfer operators". Stochastics and Dynamics 16 6 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84959212833&partnerID=MN8TOARS.
    10.1142/S0219493716500246
  28. Bessa, M.; Rodrigues, A.A.P.. "Dynamics of conservative Bykov cycles: Tangencies, generalized Cocoon bifurcations and elliptic solutions". Journal of Differential Equations 261 2 (2016): 1176-1202. http://www.scopus.com/inward/record.url?eid=2-s2.0-84963967750&partnerID=MN8TOARS.
    10.1016/j.jde.2016.03.040
  29. Bessa, M.; Dias, S.; Pinto, A.A.. "Explosion of differentiability for equivalencies between anosov flows on 3-manifolds". Proceedings of the American Mathematical Society 144 9 (2016): 3757-3766. http://www.scopus.com/inward/record.url?eid=2-s2.0-84975144055&partnerID=MN8TOARS.
    10.1090/proc/12977
  30. Bessa, M.; Rodrigues, A.A.P.. "A Dichotomy in Area-Preserving Reversible Maps". Qualitative Theory of Dynamical Systems 15 2 (2016): 309-326. http://www.scopus.com/inward/record.url?eid=2-s2.0-84992134088&partnerID=MN8TOARS.
    10.1007/s12346-015-0155-y
  31. Bessa, M.; Carvalho, M.; Rodrigues, A.. "Generic area-preserving reversible diffeomorphisms". Nonlinearity 28 6 (2015): 1695-1720. http://www.scopus.com/inward/record.url?eid=2-s2.0-84929346785&partnerID=MN8TOARS.
    10.1088/0951-7715/28/6/1695
  32. Bessa, Mário. "The C<sup>0</sup> general density theorem for geodesic flows". Comptes Rendus Mathematique 353 6 (2015): 545-549. http://www.scopus.com/inward/record.url?eid=2-s2.0-84929607459&partnerID=MN8TOARS.
    10.1016/j.crma.2015.03.012
  33. Bessa, M.; Ribeiro, R.. "Conservative flows with various types of shadowing". Chaos, Solitons and Fractals 75 (2015): 243-252. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925390167&partnerID=MN8TOARS.
    10.1016/j.chaos.2015.02.022
  34. Bessa, M.; Varandas, P.. "Trivial and simple spectrum for SL(d, R) cocycles with free base and fiber dynamics". Acta Mathematica Sinica, English Series 31 7 (2015): 1113-1122. http://www.scopus.com/inward/record.url?eid=2-s2.0-84933038543&partnerID=MN8TOARS.
    10.1007/s10114-015-4417-z
  35. Bessa, M.; Lee, M.; Wen, X.. "Shadowing, expansiveness and specification for C1-conservative systems". Acta Mathematica Scientia 35 3 (2015): 583-600. http://www.scopus.com/inward/record.url?eid=2-s2.0-84947420514&partnerID=MN8TOARS.
    Published
  36. Bessa, M.; Lee, M.; Vaz, S.. "Stable weakly shadowable volume-preserving systems are volume-hyperbolic". Acta Mathematica Sinica, English Series 30 6 (2014): 1007-1020. http://www.scopus.com/inward/record.url?eid=2-s2.0-84899880963&partnerID=MN8TOARS.
    10.1007/s10114-014-3093-8
  37. Bessa, M.; Vilarinho, H.. "Fine properties of Lp-cocycles which allow abundance of simple and trivial spectrum". Journal of Differential Equations 256 7 (2014): 2337-2367. http://www.scopus.com/inward/record.url?eid=2-s2.0-84895905216&partnerID=MN8TOARS.
    10.1016/j.jde.2014.01.003
  38. Bessa, M.; Vaz, S.. "Stable weak shadowable symplectomorphisms are partially hyperbolic". Communications of the Korean Mathematical Society 29 2 (2014): 285-293. http://www.scopus.com/inward/record.url?eid=2-s2.0-84900009511&partnerID=MN8TOARS.
    10.4134/CKMS.2014.29.2.285
  39. Bessa, M.; Dias, J.L.. "Hamiltonian suspension of perturbed Poincaré sections and an application". Mathematical Proceedings of the Cambridge Philosophical Society 157 1 (2014): 101-112. http://www.scopus.com/inward/record.url?eid=2-s2.0-84901691193&partnerID=MN8TOARS.
    10.1017/S0305004114000140
  40. Bessa, M.; Carvalho, M.. "Non-uniform hyperbolicity for infinite dimensional cocycles". Stochastics and Dynamics 13 3 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84878413409&partnerID=MN8TOARS.
    10.1142/S0219493712500268
  41. Bessa, M.. "On C1-Generic Chaotic Systems in Three-Manifolds". Qualitative Theory of Dynamical Systems 12 2 (2013): 323-334. http://www.scopus.com/inward/record.url?eid=2-s2.0-84884130486&partnerID=MN8TOARS.
    10.1007/s12346-012-0091-z
  42. Bessa, M.; Rocha, J.; Torres, M.J.. "Shades of hyperbolicity for Hamiltonians". Nonlinearity 26 10 (2013): 2851-2873. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885362174&partnerID=MN8TOARS.
    10.1088/0951-7715/26/10/2851
  43. Bessa, M.. "C1-stably shadowable conservative diffeomorphisms are Anosov". Bulletin of the Korean Mathematical Society 50 5 (2013): 1495-1499. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885336512&partnerID=MN8TOARS.
    10.4134/BKMS.2013.50.5.1495
  44. Bessa, M.; Rocha, J.; Torres, M.J.. "Hyperbolicity and stability for Hamiltonian flows". Journal of Differential Equations 254 1 (2013): 309-322. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867638491&partnerID=MN8TOARS.
    10.1016/j.jde.2012.08.010
  45. Bessa, M.; Rocha, J.. "Contributions to the geometric and ergodic theory of conservative flows". Ergodic Theory and Dynamical Systems 33 6 (2013): 1709-1731. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892406352&partnerID=MN8TOARS.
    10.1017/etds.2012.110
  46. Bessa, M.; Rocha, J.. "A remark on the topological stability of symplectomorphisms". Applied Mathematics Letters 25 2 (2012): 163-165. http://www.scopus.com/inward/record.url?eid=2-s2.0-80053184370&partnerID=MN8TOARS.
    10.1016/j.aml.2011.08.007
  47. Bessa, M.; Silva, C.M.. "Dense area-preserving homeomorphisms have zero lyapunov exponents". Discrete and Continuous Dynamical Systems 32 4 (2012): 1231-1244. http://www.scopus.com/inward/record.url?eid=2-s2.0-84859520465&partnerID=MN8TOARS.
    10.3934/dcds.2012.32.1231
  48. Bessa, Mário. "Perturbations of Mathieu equations with parametric excitation of large period". Advances in Dynamical Systems and Applications 7 1 (2012): 17-30.
    Published
  49. Bessa, M.; Rocha, J.. "Denseness of ergodicity for a class of volume-preserving flows". Portugaliae Mathematica 68 1 (2011): 1-17. http://www.scopus.com/inward/record.url?eid=2-s2.0-84877124180&partnerID=MN8TOARS.
    10.4171/PM/1878
  50. Bessa, M.; Varandas, P.. "On the entropy of conservative flows". Qualitative Theory of Dynamical Systems 10 1 (2011): 11-22. http://www.scopus.com/inward/record.url?eid=2-s2.0-84905107716&partnerID=MN8TOARS.
    10.1007/s12346-010-0033-6
  51. Bessa, M.; Rocha, J.. "Topological stability for conservative systems". Journal of Differential Equations 250 10 (2011): 3960-3966. http://www.scopus.com/inward/record.url?eid=2-s2.0-79952102088&partnerID=MN8TOARS.
    10.1016/j.jde.2011.01.009
  52. Bessa, M.; Rocha, J.. "Three-dimensional conservative star flows are anosov". Discrete and Continuous Dynamical Systems 26 3 (2010): 839-846. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950233659&partnerID=MN8TOARS.
    10.3934/dcds.2010.26.839
  53. Bessa, M.; Ferreira, C.; Rocha, J.. "On the stability of the set of hyperbolic closed orbits of a Hamiltonian". Mathematical Proceedings of the Cambridge Philosophical Society 149 2 (2010): 373-383. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957221882&partnerID=MN8TOARS.
    10.1017/S0305004110000253
  54. Bessa, M.. "Are there chaotic maps in the sphere?". Chaos, Solitons and Fractals 42 1 (2009): 235-237. http://www.scopus.com/inward/record.url?eid=2-s2.0-67649607457&partnerID=MN8TOARS.
    10.1016/j.chaos.2008.11.005
  55. Bessa, M.; Dias, J.L.. "Hamiltonian elliptic dynamics on symplectic 4-manifolds". Proceedings of the American Mathematical Society 137 2 (2009): 585-592. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950530063&partnerID=MN8TOARS.
    10.1090/S0002-9939-08-09578-6
  56. Bessa, M.; Rocha, J.. "Homoclinic tangencies versus uniform hyperbolicity for conservative 3-flows". Journal of Differential Equations 247 11 (2009): 2913-2923. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349216348&partnerID=MN8TOARS.
    10.1016/j.jde.2009.07.020
  57. Bessa, M.. "Dynamics of generic multidimensional linear differential systems". Advanced Nonlinear Studies 8 1 (2008): 191-211. http://www.scopus.com/inward/record.url?eid=2-s2.0-39449100297&partnerID=MN8TOARS.
  58. Bessa, M.; Dias, J.L.. "Generic dynamics of 4-dimensional C2 Hamiltonian systems". Communications in Mathematical Physics 281 3 (2008): 597-619. http://www.scopus.com/inward/record.url?eid=2-s2.0-45849151672&partnerID=MN8TOARS.
    10.1007/s00220-008-0500-y
  59. Bessa, M.; Rocha, J.. "On C1-robust transitivity of volume-preserving flows". Journal of Differential Equations 245 11 (2008): 3127-3143. http://www.scopus.com/inward/record.url?eid=2-s2.0-53349141580&partnerID=MN8TOARS.
    10.1016/j.jde.2008.02.045
  60. Bessa, M.; Rocha, J.. "On the fundamental regions of a fixed point free conservative Hénon map". Bulletin of the Australian Mathematical Society 77 1 (2008): 37-48. http://www.scopus.com/inward/record.url?eid=2-s2.0-41149110938&partnerID=MN8TOARS.
    10.1017/S000497270800004X
  61. Bessa, M.; Carvalho, M.. "On the Lyapunov spectrum of infinite dimensional random products of compact operators". Stochastics and Dynamics 8 4 (2008): 593-611. http://www.scopus.com/inward/record.url?eid=2-s2.0-56349093846&partnerID=MN8TOARS.
    10.1142/S0219493708002470
  62. Bessa, M.. "A generic incompressible flow is topological mixing". Comptes Rendus Mathematique 346 21-22 (2008): 1169-1174. http://www.scopus.com/inward/record.url?eid=2-s2.0-55249089895&partnerID=MN8TOARS.
    10.1016/j.crma.2008.07.012
  63. Bessa, M.; Duarte, P.. "Abundance of elliptic dynamics on conservative three-flows". Dynamical Systems 23 4 (2008): 409-424. http://www.scopus.com/inward/record.url?eid=2-s2.0-55849151700&partnerID=MN8TOARS.
    10.1080/14689360802162872
  64. Araujo, V.; Bessa, M.. "Dominated splitting and zero volume for incompressible three flows". Nonlinearity 21 7 (2008): 1637-1653. http://www.scopus.com/inward/record.url?eid=2-s2.0-44949203501&partnerID=MN8TOARS.
    10.1088/0951-7715/21/7/014
  65. Bessa, M.. "The Lyapunov exponents of generic zero divergence three-dimensional vector fields". Ergodic Theory and Dynamical Systems 27 5 (2007): 1445-1472. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947392500&partnerID=MN8TOARS.
    10.1017/S0143385707000107
  66. Bessa, M.; Rocha, J.. "Removing zero Lyapunov exponents in volume-preserving flows". Nonlinearity 20 4 (2007): 1007-1016. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947373064&partnerID=MN8TOARS.
    10.1088/0951-7715/20/4/011
  67. Bessa, M.. "Dynamics of generic 2-dimensional linear differential systems". Journal of Differential Equations 228 2 (2006): 685-706. http://www.scopus.com/inward/record.url?eid=2-s2.0-33746494107&partnerID=MN8TOARS.
    10.1016/j.jde.2006.03.009
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/07/10 Kinetic cocycles Encontro Nacional SPM 2024: Sessão temática Infinite-dimensional dynamics: theory and applications, a mini-symposium in memory of Rafael S. Sasportes
Universidade do Minho (Braga, Portugal)
2024/04/30 Infinite Products of Operators Seminário
Universidade de Aveiro - Grupo de Análise Funcional e Aplicações (Aveiro, Portugal)
2024/03/16 Ferramentas de aprendizagem e ensino da Matemática na UAb Receção ao Estudante 2° Semestre
Universidade Aberta (Delegação Regional do Porto) (Porto, Portugal)
2023/05/16 As 1001 maneiras de resolver uma equação diferencial ... ou quase! II Jornadas da Matemática e da Física da UBI (Fismatubi - Núcleo de Matemática e Física da UBI)
Universidade da Beira Interior (Covilhã, Portugal)
2022/04/06 On the Lyapunov exponents of Lp dynamical systems Seminário
School of Mathematical Sciences, Soochow University, Taipei City (Taipei, Taiwan)
2019 Entropia topológica positiva para bilhares Seminário ISEG
(Lisboa)

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2020 - Current Symposium in Dynamical Systems – On the occasion of Jorge Rocha 60th birthday, em 14 de outubro de 2020. https://sites.google.com/view/symposiumdynsys/ (2020)
2025/11/22 - 2025/11/22 Jornadas da Matemática, Estatística e Aplicações 2025 https://sites.uab.pt/jornadas-mea2025/ (2025/11/22 - 2025/11/22)
Meeting (Member of the Organising Committee)
 Universidade Aberta, Portugal
2023/10/28 - 2023/10/28 Jornadas da Matemática, Estatística e Aplicações 2023 https://eventos.uab.pt/jornadas-mea2023/ (2023/10/28 - 2023/10/28)
Meeting (Member of the Organising Committee)
 Universidade Aberta, Portugal
2023/10/16 - 2023/10/27 Topological methods in dynamics https://sites.google.com/view/oporto2023dynsys/topological-methods-in-dynamics?authuser=0 (2023/10/16 - 2023/10/27)
Workshop (Member of the Organising Committee)
 Universidade do Porto Faculdade de Ciências, Portugal
2023/07/06 - 2023/07/06 Manhãs de Matemática - Sessão de Sistemas Dinâmicos (2023/07/06 - 2023/07/06)
Meeting (Member of the Organising Committee)
 Universidade Aberta, Portugal
2021/07 - 2021/07 Encontro Nacional da SPM 2021 https://pt.enspm2021.spm.pt (2021 - 2021)
Congress (Member of the Organising Committee)

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2025/05/23 Problemas diretos e inversos de difração e algumas aplicações em imagiologia médica: Da simulação numérica às redes neuronais
(Thesis) Arguer
 Pedro Serranho (Aggregation)
Universidade Aberta, Portugal
2025/05/23 Desenvolvimento Psicossocial de Jovens Estudantes do Ensino Profissional: Um Modelo Sustentável de Intervenção Social e Escolar em Contexto Educativo
President of the jury
 Ana Luísa Figueiras Dias da Silva (PhD)
Universidade Aberta, Portugal
2025/05/12 Missing Data Handling in Health Sciences a Neuro-Fuzzy Methods Approach
President of the jury
 José António Ferreira Lobo Pereira (PhD)
Universidade Aberta, Portugal
2025/05/02 Dynamics of double standard maps
(Thesis) Main arguer
 Ana Rodrigues (Aggregation)
Universidade de Évora, Portugal
2025/01/09 Análise e Avaliação do Risco de contágio da COVID-19 em Moçambique
President of the jury
 Élio Taero (PhD)
Universidade Aberta, Portugal
2024/10/07 Atratores estranhos "grandes" associados a bifurcações heteroclínicas
(Thesis) Arguer
 Alexandre Rodrigues (Aggregation)
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
2024/03/27 Qualitative analysis of epidemiological models: chaos, bifurcations and stability
(Thesis) Main arguer
 João P. Carvalho (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2024/01/12 Movimento de Partículas Auto-propulsionadas. Modelo de Cucker-Smale e Variantes: Análise e Simulações
President of the jury
 Ricardo André (Master)
Universidade Aberta, Portugal
2023/06/20 Weighted coupled cell networks and invariant synchrony patterns
(Thesis) Main arguer
 Pedro Sequeira (PhD)
Universidade do Porto Faculdade de Engenharia, Portugal

Conference scientific committee

Conference name Conference host
2025/08/04 - 2025/08/08 9º Encontro Brasil-Portugal IST-IME https://sites.google.com/usp.br/9-ist-imeenglish Universidade de São Paulo
2024/07/10 - 2024/07/12 Encontro Nacional da SPM 2024 https://enspm2024.spm.pt Universidade do Minho
2022/07/18 - 2022/07/20 Encontro Nacional da SPM 2022 https://enspm2022.spm.pt Instituto Politécnico de Tomar
2021/07/12 - 2021/07/16 Encontro Nacional da SPM 2021 https://pt.enspm2021.spm.pt Online Conference

Interview (tv / radio show)

Program Topic
2021 - 2021 Dia do Pi SPM 2021 Matemática? Só na escola OK?!

Scientific expedition

Activity description Institution / Organization
2025/08/08 - 2025/08/21 Professor Visitante do IMPA Instituto Nacional de Matemática Pura e Aplicada, Brazil