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Identification

Personal identification

Full name
Alexandre Rodrigues

Citation names

  • Rodrigues, Alexandre A. P.

Author identifiers

Ciência ID
7C15-AD8C-4AA7
ORCID iD
0000-0001-8182-9889

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
French Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Portuguese Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Spanish; Castilian Intermediate (B1) Advanced (C1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2012/01/12
Concluded
 Mathematics (Doutoramento)
Major in Dynamical Systems
Universidade do Porto Faculdade de Ciências, Portugal
"Heteroclinic Phenomena" (THESIS/DISSERTATION)
 Approved
2004/09/01 - 2006/07/06
Concluded
 Master in Mathematics - Foundations and Applications (Specialization: Dynamical Systems) (Mestrado)
Major in Dynamical Systems
Universidade do Porto Faculdade de Ciências, Portugal
"Examples of heteroclinic cycles and networks in symmetric differential equations (Portuguese)" (THESIS/DISSERTATION)
 Very good (Maximum)
1997/09/01 - 2002/05/28
Concluded
 Mathematics - Educational Branch (Licenciatura)
Universidade do Porto Faculdade de Ciências, Portugal
"n/a" (THESIS/DISSERTATION)
 17 / 20
1997/08/31
Concluded
 Scientific (Ensino secundário)
Ministério da Educação, Portugal
 17 / 20
Affiliation

Science

Category
Host institution 		Employer
2021/06/01 - 2027/05/31 Auxiliary Researcher (Research) Universidade do Porto Centro de Matemática, Portugal
Universidade do Porto Centro de Matemática, Portugal
2017/01/01 - 2021/12/31 Contracted Researcher (Research) Universidade do Porto Centro de Matemática, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2013/01/01 - 2016/12/31 Postdoc (Research) Universidad de Oviedo, Spain

Teaching in Higher Education

Category
Host institution 		Employer
2022/05/01 - Current Assistant Professor (University Teacher) Universidade de Lisboa Instituto Superior de Economia e Gestão, Portugal
Universidade de Lisboa Instituto Superior de Economia e Gestão, Portugal
2019/10/01 - 2020/01/31 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Minho, Portugal
2019/02/01 - 2019/06/30 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2019/02/01 - 2019/06/30 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2018/10/01 - 2019/01/31 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2018/02/01 - 2018/06/30 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2017/11/01 - 2018/01/31 Lecturer (University Teacher) Universidade do Porto Faculdade de Ciências, Portugal
Universidade do Porto Faculdade de Ciências, Portugal
2016/09/15 - 2016/12/20 Assistant (Polytechnic Teacher) Instituto Politécnico do Porto Escola Superior de Saúde, Portugal
Instituto Politécnico do Porto Escola Superior de Saúde, Portugal
2014/02/10 - 2014/07/09 Lecturer (University Teacher) Universidade do Porto, Portugal
Universidade do Porto Faculdade de Ciências, Portugal

Others

Category
Host institution 		Employer
2003/10/06 - 2012/12/31 High school teacher (Mark: very good) Ministério da Educação, Portugal
Ministério da Educação, Portugal
2002/09/01 - 2003/08/31 Trainee teacher in Maths. (Mark: 19/20) Ministério da Educação, Portugal
Projects

Grant

Designation Funders
2021/06/01 - 2027/05/31 Emergence of strange attractors via unfolding of singularities
2020.01075.CEECIND
Principal investigator
Universidade do Porto Centro de Matemática, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Ongoing
2013/01/01 - 2016/12/31 Dynamics near heteroclinic networks
SFRH/BPD/84709/2012
PhD Student Fellow
Universidade do Porto Centro de Matemática, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded
2007/10/01 - 2011/08/31 Heteroclinic phenomena
SFRH/BD/28936/2006
PhD Student Fellow
Universidade do Porto Centro de Matemática, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Concluded

Contract

Designation Funders
2017/01/01 - 2021/12/31 Heteroclinic networks: beyond intermittency
IF/00107/2015
Researcher
Universidade do Porto Centro de Matemática, Portugal

Fundação para a Ciência e a Tecnologia, Portugal
Associação para a Inovação e Desenvolvimento da FCT
Ongoing
2017/01/01 - 2018/12/31 Heteroclinic networks: stability and dynamics
A-10/17
Researcher
Associação para a Inovação e Desenvolvimento da FCT, Portugal
 Universidade do Porto
Concluded
2016/11/01 - 2018/12/31 Dynamics, Bifurcations and Strange Attractors
RNF/14-41-00044
Researcher
Imperial College London, United Kingdom

Lobachevsky University of Nizhny Novgorod, Russia
Lobachevsky University of Nizhny Novgorod
Concluded
2016/06/01 - 2018/02/28 Singularities and Algebraic Theory in Dynamical Systems
FCT/13272/4/8/2015/S
Researcher
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Brazil

Universidade de São Paulo Instituto de Ciências Matemáticas e de Computação, Brazil
Universidade de São Paulo Instituto de Ciências Matemáticas e de Computação

Universidade do Porto Centro de Matemática
Concluded
2014/07/01 - 2016/10/31 Dynamics, Bifurcations and Strange Attractors
RNF/14-41-00044
Researcher
Lobachevsky University of Nizhny Novgorod, Russia

Imperial College London, United Kingdom
Lobachevsky University of Nizhny Novgorod
Concluded

Other

Designation Funders
2010/10/01 - 2010/11/30 Heteroclinic dynamics
DMS-0806321
PhD Student Fellow
National Science Foundation Division of Mathematical Sciences, United States
 National Science Foundation Division of Mathematical Sciences
Concluded
Outputs

Publications

Book
  1. Rodrigues, Alexandre; Barrientos, Pablo; Rodríguez, José Ang; Ibáñez, Santiag. Emergence of chaotic dynamics from singularities. [32th Brazilian Mathematics Colloquium] Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2019. 2019.
    In press
Book chapter
  1. Rodrigues, Alexandre A. P.. "Three Dimensional Flows: From Hyperbolicity to Quasi-Stochasticity". In CIM Series in Mathematical Sciences, 573-591. Springer International Publishing, 2015.
    Published • 10.1007/978-3-319-16118-1_31
  2. Labouriau, Isabel S.; Rodrigues, Alexandre A. P.. "Partial Symmetry Breaking and Heteroclinic Tangencies". In Springer Proceedings in Mathematics & Statistics, 281-299. Spain: Springer Berlin Heidelberg, 2013.
    Published • 10.1007/978-3-642-38830-9_17
Conference paper
  1. Rodrigues, Alexandre. "Homoclinic bifurcations (Portuguese)". Paper presented in Mathematics National Meeting, Lisbon, Caparica, 2016.
    Published
  2. Rodrigues, Alexandre A. P.. "Infinitely many multi-pulses near a bifocal cycle". Paper presented in 10th AIMS Conference. Suppl., 954–964., Madrid, 2015.
    Published • 10.3934/proc.2015.0954
  3. Rodrigues, Alexandre. "Product of homoclinic attractors (Portuguese)". Paper presented in Mathematics National Meeting, 2012.
    Published
  4. Rodrigues, Alexandre; Aguiar, Manuela; Labouriau, Isabel S. "A chaotic carousel: dynamics near heteroclinic networks (Portuguese)". Paper presented in Mathematics National Meeting, 2010.
    Published
Journal article
  1. Telmo Peixe; Alexandre A. Rodrigues. "Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation". Journal of Nonlinear Science (2023): https://doi.org/10.1007/s00332-023-09953-7.
    10.1007/s00332-023-09953-7
  2. Telmo Peixe; Alexandre A. Rodrigues. "Correction to: Stability of Heteroclinic Cycles: A New Approach Based on a Replicator Equation". Journal of Nonlinear Science (2023): https://doi.org/10.1007/s00332-023-09973-3.
    10.1007/s00332-023-09973-3
  3. Alexandre A. P. Rodrigues; Luisa Castro. "Abundance of Infinite Switching". SIAM Journal on Applied Dynamical Systems (2023): https://doi.org/10.1137/22M151371X.
    10.1137/22M151371X
  4. João P. S. Maurício de Carvalho; Alexandre A. Rodrigues. "SIR Model with Vaccination: Bifurcation Analysis". Qualitative Theory of Dynamical Systems (2023): https://doi.org/10.1007/s12346-023-00802-2.
    10.1007/s12346-023-00802-2
  5. Telmo Peixe; Alexandre Rodrigues. "Persistent strange attractors in 3D polymatrix replicators". Physica D: Nonlinear Phenomena (2022): https://doi.org/10.1016/j.physd.2022.133346.
    10.1016/j.physd.2022.133346
  6. Alexandre A. P. Rodrigues. "Dissecting a Resonance Wedge on Heteroclinic Bifurcations". Journal of Statistical Physics 184 3 (2021): https://doi.org/10.1007/s10955-021-02811-4.
    10.1007/s10955-021-02811-4
  7. Alexandre A. P. Rodrigues. "Abundance of Strange Attractors Near an Attracting Periodically Perturbed Network". SIAM Journal on Applied Dynamical Systems 20 1 (2021): 541-570. https://doi.org/10.1137/20M1335510.
    10.1137/20M1335510
  8. Labouriau, I.S.; Rodrigues, A.A.P.. "Periodic Forcing of a Heteroclinic Network". Journal of Dynamics and Differential Equations (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85111816436&partnerID=MN8TOARS.
    10.1007/s10884-021-10054-w
  9. Rodrigues, Alexandre. "Experimentally accessible orbits near a Bykov cycle". International Journal of Bifurcation and Chaos (to appear) 28 8 (2020):
  10. Rodrigues, Alexandre A. P.. "Unfolding a Bykov attractor: from an attracting torus to strange attractors". Journal of Dynamics and Differential Equations (2020):
    In press • 10.1007/s10884-020-09858-z
  11. Rodrigues, Alexandre A. P.. "About Takens' Last Problem (Portuguese)". Bol. Soc.Port. Mat. (to appear) (2020):
    Accepted
  12. Labouriau, Isabel S.; Rodrigues, Alexandre A.P.. "Bifurcations from an attracting heteroclinic cycle under periodic forcing". Journal of Differential Equations (2020): http://dx.doi.org/10.1016/j.jde.2020.03.024.
    In press • 10.1016/j.jde.2020.03.024
  13. 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 (2020): https://doi.org/10.1007/s12346-020-00373-6.
    10.1007/s12346-020-00373-6
  14. Rodrigues, Alexandre A. P.. "Strange attractors and wandering domains near a homoclinic cycle to a bifocus". Journal of Differential Equations (2020): http://dx.doi.org/10.1016/j.jde.2020.02.027.
    Published • 10.1016/j.jde.2020.02.027
  15. Barrio, R.; Carvalho, M.; Castro, L.; Rodrigues, A.A.P.; Rodrigues, Alexandre. "Experimentally Accessible Orbits near a Bykov Cycle". International Journal of Bifurcation and Chaos 30 10 (2020): http://www.scopus.com/inward/record.url?eid=2-s2.0-85090856596&partnerID=MN8TOARS.
    Accepted • 10.1142/S021812742030030X
  16. Barrientos, P.G.; Raibekas, A.; Rodrigues, A.A.P.. "Chaos near a reversible homoclinic bifocus". Dynamical Systems (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85061905273&partnerID=MN8TOARS.
    10.1080/14689367.2019.1569592
  17. Carvalho, M.; Rodrigues, A.P.. "Complete Set of Invariants for a Bykov Attractor". Regular and Chaotic Dynamics 23 3 (2018): 227-247. http://www.scopus.com/inward/record.url?eid=2-s2.0-85048096525&partnerID=MN8TOARS.
    10.1134/S1560354718030012
  18. Rodrigues, Alexandre. "A note on reversibility and Pell equations". Bol. Soc. Port. Mat. 75 (2017): 43-56. https://revistas.rcaap.pt/boletimspm/article/view/15169.
    Published
  19. Labouriau, Isabel S; Rodrigues, Alexandre A P. "On Takens’ last problem: tangencies and time averages near heteroclinic networks". Nonlinearity 30 5 (2017): 1876-1910. http://dx.doi.org/10.1088/1361-6544/aa64e9.
    10.1088/1361-6544/aa64e9
  20. Lohse, A.; Rodrigues, A.. "Boundary crisis for degenerate singular cycles". Nonlinearity 30 6 (2017): 2211-2245. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019569441&partnerID=MN8TOARS.
    10.1088/1361-6544/aa675f
  21. Isabel S. Labouriau; Alexandre A.P. Rodrigues. "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
  22. Rodrigues, Alexandre. "Is there switching without suspended horseshoes?". Bol. Soc. Port. Mat. 74 (2016): 61-79.
    Published
  23. 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
  24. 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
  25. 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
  26. Ibáñez, S.; Rodrigues, A.. "On the Dynamics Near a Homoclinic Network to a Bifocus: Switching and Horseshoes". International Journal of Bifurcation and Chaos 25 11 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84945931797&partnerID=MN8TOARS.
    10.1142/S021812741530030X
  27. Rodrigues, A.A.P.. "Moduli for heteroclinic connections involving saddle-foci and periodic solutions". Discrete and Continuous Dynamical Systems- Series A 35 7 (2015): 3155-3182. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921867333&partnerID=MN8TOARS.
    10.3934/dcds.2015.35.3155
  28. Rodrigues, Alexandre. "Geometric proof of Massera's theorem (Portuguese)". Bol. Soc. Port. Mat. 70 (2014): 69-83.
    Published
  29. 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
  30. Labouriau, I.S.; Rodrigues, A.A.P.. "Dense heteroclinic tangencies near a Bykov cycle". Journal of Differential Equations (2014): http://www.scopus.com/inward/record.url?eid=2-s2.0-84937894248&partnerID=MN8TOARS.
    10.1016/j.jde.2015.07.017
  31. Rodrigues, Alexandre. "Leonid Pavlovich Shil'nikov: to the memory of a global attractor (Portuguese)". Bol. Soc. Port. Mat. 68 (2013): 25-52. https://labs.ni.gsu.edu/ashilnikov/lp/LPShilnikov_p.pdf.
    Published
  32. Rodrigues, A.A.P.. "Persistent switching near a heteroclinic model for the geodynamo problem". Chaos, Solitons and Fractals 47 1 (2013): 73-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-84873286095&partnerID=MN8TOARS.
    10.1016/j.chaos.2012.12.005
  33. Rodrigues, A.A.P.. "Repelling Dynamics Near a Bykov Cycle". Journal of Dynamics and Differential Equations 25 3 (2013): 605-625. http://www.scopus.com/inward/record.url?eid=2-s2.0-84883458671&partnerID=MN8TOARS.
    10.1007/s10884-013-9289-2
  34. 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
  35. Rodrigues, Alexandre; Carvalho, Maria Pires. "Intermediate value property vs. continuity (Portuguese)". Bol. Soc. Port. Mat. 65 (2011): 27-60.
    Published
  36. Agarwal, N.; Rodrigues, A.; Field, M.. "Dynamics near the product of planar heteroclinic attractors". Dynamical Systems 26 4 (2011): 447-481. http://www.scopus.com/inward/record.url?eid=2-s2.0-84860652472&partnerID=MN8TOARS.
    10.1080/14689367.2011.605784
  37. 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
  38. 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
Magazine article
  1. Rodrigues, Alexandre. "Heteroclinic intermittence of the geomagnetic field (Portuguese)", Gazeta da Matemática, 2012, http://gazeta.spm.pt/getArtigo?gid=352.
Manual
  1. Rodrigues, Alexandre A. P.. Learning mathematics with Alice's in Wonderland (Portuguese). Portugal: AMLive. 2018.
    Published
  2. Rodrigues, Alexandre. Learning mathematics with the Beauty and the Beast (Portuguese). Portugal: AMLIVE. 2017.
    Published
  3. Rodrigues, Alexandre. Learning mathematics with Cinderella on Ice (Portuguese). Portugal: AMLIVE. 2016.
    Published
Thesis / Dissertation
  1. Rodrigues, Alexandre. "Heteroclinic phenomena". PhD, Universidade do Porto Faculdade de Ciências, 2012.
  2. Rodrigues, Alexandre. "Examples of heteroclinic cycles and networks in differential equations with symmetry (Portuguese)". Master, Universidade do Porto Faculdade de Ciências, 2006.

Other

Other output
  1. Rank-one strange attractors versus heteroclinic tangles. 2022. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85122605164&partnerID=MN8TOARS.
  2. Strange attractors in a seasonally forced SIR model. 2021. Maurício De Carvalho, J.P.S.; Rodrigues, A.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85122408858&partnerID=MN8TOARS.
  3. "Large" strange attractors in the unfolding of a Heteroclinic attractor. 2021. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85119569940&partnerID=MN8TOARS.
  4. persistent strange attractors in 3D polymatrix replicators. 2021. Peixe, T.; Rodrigues, A.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85104223091&partnerID=MN8TOARS.
  5. Abundance of strange attractors near an attracting periodically-perturbed network. 2020. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85098431927&partnerID=MN8TOARS.
  6. TORUS-BREAKDOWN NEAR A BYKOV ATTRACTOR: A CASE STUDY. 2020. Castro, L.; Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093270265&partnerID=MN8TOARS.
  7. Dissecting a resonance wedge on heteroclinic bifurcations. 2020. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85100518399&partnerID=MN8TOARS.
  8. Unfolding A Bykov Attractor: From An Attracting Torus to Strange Attractors. 2019. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094051144&partnerID=MN8TOARS.
  9. Moduli of stability for heteroclinic cycles of periodic solutions. Discrete & Continuous Dynamical Systems - A. 2019. Carvalho, M.; Lohse, A.; Rodrigues, A.A.P.; Carvalho, Maria; Lohse, Alexander; A. P. Rodrigues, Alexandre. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093209828&partnerID=MN8TOARS.
    10.3934/dcds.2019284
  10. CHAOS NEAR A REVERSIBLE HOMOCLINIC BIFOCUS. 2018. Barrientos, P.G.; Raibekas, A.; Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095331268&partnerID=MN8TOARS.
  11. STRANGE ATTRACTORS AND WANDERING DOMAINS NEAR A HOMOCLINIC CYCLE TO A BIFOCUS. 2018. Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094251221&partnerID=MN8TOARS.
  12. Chaos near a reversible homoclinic bifocus. 2018. Barrientos, P.G.; Raibekas, A.; Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093186680&partnerID=MN8TOARS.
  13. Dynamics near a periodically forced robust heteroclinic cycle May 9, 2019. 2018. Labouriau, I.S.; Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85095178230&partnerID=MN8TOARS.
  14. The role of the saddle-foci on the structure of a bykov attracting set. 2017. Bessa, M.; Carvalho, M.; Rodrigues, A.A.P.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093017777&partnerID=MN8TOARS.
  15. Complete set of invariants for a Bykov attractor. 2017. Carvalho, M.; Rodrigues, A.A.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093431168&partnerID=MN8TOARS.
  16. Attractors in complex networks. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2017. Rodrigues, A.A.P.; Alexandre A. P. Rodrigues. http://www.scopus.com/inward/record.url?eid=2-s2.0-85093601657&partnerID=MN8TOARS.
    10.1063/1.4996883
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2020/01/10 Unfolding a Bykov cycle: from an attracting torus to strange attractors Dynamical Systems Seminar
Universidade do Porto, Centro de Matemática (Porto, Portugal)
2019/12/12 Unfolding a Bykov cycle: the emergence of strange attractors Annual International Conference on Dynamical Systems (Shilnikov workshop)
Lobachevsky University of Nizhny Novgorod (Nizhny Novgorod, Russia)
2019/11/27 Emergence of strange attractors from singularities Joint PhD Program University of Coimbra / University of Porto
Universidade do Porto (Porto, Portugal)
2019/10/30 Strange attractors near a homoclinic cycle to a bifocus Seminar at University of Évora (Maths Department)
(Évora , Portugal)
2019/10/30 Models of populations (portuguese) Seminário Diagonal, Inigma
Universidade do Porto Centro de Matemática (Porto, Portugal)
2019/10/03 Strange attractors near a homoclinic cycle to a bifocus Dynamical Systems Seminar
Imperial College of London (London, United Kingdom)
2019/09/05 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
Universidade do Minho (Braga, Portugal)
2019/05/21 Dynamics near a periodically perturbed robust heteroclinic cycle SIAM Conference on Applications of Dynamical Systems (DS19)
SIAM (Snowbird - UTAH, United States)
2019/02/08 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
Universidade do Porto Centro de Matemática (Porto)
2018/12/16 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
University of Hamburg (Hamburg, Germany)
2018/11/28 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
University of Évora (Évora, Portugal)
2018/11/23 Quasi-stochastic Bykov attractors Dynamical Systems Seminar
University of Porto, Center of Mathematics (Porto, Portugal)
2018/08/27 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
Universidade Federal Fluminense (Niterói , Brazil)
2018/07/21 Dynamics near a periodically forced robust heteroclinic cycle International Conference on Dynamical Systems
Lobachecksy University of Nizhny Novgorod (Nizhny Novgorod, Russia)
2018/07/02 On Takens' Last Problem: time averages and homoclinic bifurcations Encontro com a Ciência e Tecnologia
Centro de Congressos de Lisboa (Lisbon, Portugal)
2018/04/17 Strange attractors and non wandering domains near a homoclinic cycle to a bifocus Dynamical Systems Seminar
Universitat Politècnica de Catalunya (Barcelona , Spain)
2018/04/12 Dynamics near a periodically forced robust heteroclinic cycle Dynamical Systems Seminar
University of Minho (Braga , Portugal)
2018/04/06 Strange attractors and non wandering domains near a homoclinic cycle to a bifocus Dynamical Systems Seminar
Center of Mathematics, University of Porto (Porto, Portugal)
2018/02/14 Strange attractors and non wandering domains near a homoclinic cycle to a bifocus Seminar
University of Oviedo (Oviedo, Spain)
2017/11/24 On Takens' Last Problem: times averages for heteroclinic attractors Dynamical Systems Seminar
Universidade Federal do Rio de Janeiro (Rio de Janeiro , Brazil)
2017/07/22 On Takens' Last Problem: time averages and homoclinic bifurcations International Conference on Dynamical Systems
Lobachevsky University of Nizhny Novgorod (Nizhny Novgorod, Russia)
2017/05/26 On Takens' Last Problem: time averages and bifurcations International Conference Llavefest: a broad perspective on finite and infinite dimensional systems
Universidad de Barcelona (Barcelona, Spain)
2017/05/19 On Takens' Last Problem: time averages and homoclinic bifurcations Dynamical Systems Seminar
Center of Mathematics of University of Porto (Porto , Portugal)
2017/04/17 On Takens' Last Problem: time averages and homoclinic bifurcations Dynamical Systems Seminar
Universitat Politècnica de Catalunya (Barcelona , Spain)
2017/02/17 Some simple population models (portuguese) What is Mathematics? What is its purpose?
University of Porto, Sciences Faculty (Porto, Portugal)
2017/01/12 On Takens' Last Problem: time averages and homoclinic bifurcations Dynamical Systems Seminar
Maths Department of University of Aveiro (Aveiro , Portugal)
2016/12/02 On Takens' Last Problem: time averages and homoclinic bifurcations Seminar on the PhD Program in Mathematics UC/UP
University of Coimbra (Coimbra , Portugal)
2016/10/07 On Takens' Last Problem: time averages and homoclinic bifurcations Dynamical Systems Seminar
University of Lisbon (CEMAPRE) (Lisbon, Portugal)
2016/10/06 Intermittency near the heteroclinic model for the geodynamo problem (portuguese) Seminar
Maths Department of University of Évora (Évora, Portugal)
2016/07/22 Quasi-stochastic Bykov attractors International Conference on Dynamical Systems
Lobachecsky University of Nizhny Novgorod (Nizhny Novgorod , Russia)
2016/05/27 Shilnikov's works: from Russia Federation to the Occident (Portuguese) General Seminar
University of Aveiro (Maths Department) (Aveiro , Portugal)
2015/09/20 Dynamics near a network involving a bifocus DMV-Tagung National Meeting in Hamburg
University of Hamburg (Hamburg, Germany)
2015/07/21 Dynamics near a network involving a bifocus: new challenges Annual International Conference on Dynamical Systems
Lobachevsky University of Nizhny Novgorod (Nizhny Novgorod, Russia)
2015/06/19 Dynamics near a network involving a bifocus Dynamical Systems Seminar
Center of Mathematics of University of Porto (Porto, Portugal)
2015/02/16 CSI Porto Open Day
University of Porto, Sciences Faculty (Porto, Portugal)
2015/01/10 Bifocal homoclinic orbits: next challenges Dynamical Systems Seminar
University of Oviedo (Oviedo, Spain)
2014/12/18 Heteroclinic tangencies near a Bykov cycle International Conference-School Shilnikov WorkShop 2015
University Conference Center Nizhny Novgorod University (Nizhny Novgorod, Russia)
2014/09/03 The Lyapunov exponents of total maps with a reversing symmetry DGS II 2013 - International Conference and Advanced School Planet Earth Dynamics, Games and Science II
Calouste Gulbenkian Foundation (FCG) and Instituto Superior de Economia e Gestão, Universidade Técnica de Lisboa (ISEG-UTL) (Lisbon, Portugal)
2014/07/21 Chaotic dynamics near a heteroclinic network with a bifocus (Portuguese) Encontro Nacional de Matemática
Instituto Politécnico de Setúbal (Setúbal, Portugal)
2014/07/07 Heteroclinic tangencies near a Bykov cycle The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Universidad Autónoma de Madrid (Madrid, Spain)
2014/06/13 Dense heteroclinic tangencies near a Bykov cycle Workshop on Symmetry and Dynamics (60.th birthday of Isabel Labouriau)
Sciences Faculty of University of Porto (Porto, Portugal)
2014/06/10 Dense heteroclinic tangencies near a Bykov cycle Dynamical Systems Seminar
Imperial College of London (London, United Kingdom)
2014/06/09 The Lyapunov exponents of total maps with a reversing symmetry Dynamical Systems Seminar
Imperial College of London (London, United Kingdom)
2014/04/19 Global generic dynamics close to symmetry Dynamical Systems Seminar
Center of Mathematics of University of Porto (Porto , Portugal)
2014/04/08 Symmetry-breaking and heteroclinic tangencies Workshop on Patters Formation, Nonlinear Dynamics and Applications
University of Leeds (Leeds, United Kingdom)
2014/03/07 Symmetry-breaking and heteroclinic tangencies Dynamical Systems Seminar
University of Lisbon (CEMAPRE) (Lisbon, Portugal)
2012/07/25 Dynamics near the product of heteroclinic attractors (Portuguese) Encontro Nacional de Matemática
University of Algarve (Faro, Portugal)
2012/07/02 Heteroclinic Phenomena The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications
The American Institute of Mathematical Sciences Department of Mathematics and Statistics, University of North Carolina Wilmington (Orlando, United States)
2011/06/17 Dynamics near the product of planar heteroclinic attractors Dynamical Systems Seminar
Center of Mathematic of University of Porto (Porto )
2011/04/29 Intermittency near the heteroclinic model for the geodynamo problem Dynamical System Seminar
Center of Mathematics of University of Porto (Porto , Portugal)
2010/10/13 Dynamics near heteroclinic networks Dynamical Systems Seminar
University of Houston, Texas (Houston, Texas , United States)
2010/07/16 Dynamics near heteroclinic networks (Portuguese) Encontro Nacional De Matemática
Instituto Politécnico de Leiria (Leiria, Portugal)
2010/05/25 Dynamics near heteroclinic networks of rotating nodes The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications
Dresden University of Technology (Dresden, Germany)
2010/03/10 Chaotic cycling Dynamical Systems Seminar
University of Lisbon (CEMAPRE) (Lisbon , Portugal)
2009/11/20 Chaotic cycling (portuguese) Dynamical Systems Seminar
Center of Mathematics of University of Porto (Porto , Portugal)
2009/05/07 Switching near a heteroclinic network of rotating nodes Dynamical Systems Seminar
Imperial College of London (London, United Kingdom)
2008/11/23 Switching near a network of rotating nodes (Portuguese) Dynamical Systems Seminar
Center of Mathematics of University of Porto (Porto , Portugal)
2008/07/20 Switching near a heteroclinic network of rotating nodes Summer School in Dynamical Systems
University of Coimbra (Coimbra , Portugal)
2008/05/24 Hopf Bifurcation with O(2)-symmetry Differential equations with symmetry
Center of Mathematics of University of Porto (Porto , Portugal)
2006/06/18 Examples of cycles and networks in differential equations with symmetry (Portuguese) Encontro Nacional de Matemática
University of Lisbon (Lisbon, Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2020/09/01 - 2024/03/27 Strange attractors in epidemiological models: bifurcations, stability and chaos.
Supervisor
 Matemática Aplicada (PhD)
Universidade do Porto Faculdade de Ciências, Portugal

Universidade do Minho, Portugal

Universidade de Aveiro, Portugal
2020/09/01 - 2023/08/31 Strange attractors in epidemiological models
Supervisor
 Matemática (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2019/10/01 - 2020/09/30 Dynamics near almost complete and equable heteroclinic networks (Portuguese)
Supervisor
 Applied Mathematics (Master)
Universidade do Porto Faculdade de Ciências, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2013/09/01 - 2019/08/31 Dynamical Systems Seminar (2013/09/01 - 2019/08/31)
Seminar (Member of the Organising Committee)
 Universidade do Porto Centro de Matemática, Portugal
2019/05/17 - 2019/05/17 Post-doc Meeting at CMUP III (2019/05/17 - 2019/05/17)
Workshop (Member of the Organising Committee)
 Universidade do Porto Faculdade de Ciências, Portugal
2018/11/30 - 2018/11/30 Post-doc Meeting at CMUP II (2018/11/30 - 2018/11/30)
Workshop (Member of the Organising Committee)
2018/07/09 - 2018/07/11 Organizer of the Thematic Session: "Dynamical systems; progresses and challenges" at the National Meeting of Mathematics (2018/07/09 - 2018/07/11)
Meeting (Co-organisor)
 Instituto Politécnico de Bragança, Portugal
2018/04/27 - 2018/04/27 Post-doc Meeting air CMUP I (2018/04/27 - 2018/04/27)
Workshop (Member of the Organising Committee)
 Universidade do Porto Faculdade de Ciências, Portugal
2016/07/11 - 2016/07/13 Organizer of the Thematic Session: "Dynamical systems: new directions" at the National Meeting of Mathematics (2016/07/11 - 2016/07/13)
Meeting (Co-organisor)
 Instituto Politécnico de Setúbal, Portugal
2016/02/12 - 2016/02/12 Organizer of the Workshop "Heteroclinic phenomena: the role of symmetry" (2016/02/12 - 2016/02/12)
Workshop (Member of the Organising Committee)
 Universidade do Porto Centro de Matemática, Portugal
2014/07/07 - 2014/07/11 Organizer of the thematic session "Bifurcation and Chaotic Dynamics" in the 10th AIMS International Conference on Dynamical Systems, Equations and Applications, Madrid (2014/07/07 - 2014/07/14)
Conference (Co-organisor)
 Instituto de Ciencias Matemáticas, Spain

Universidad Autónoma de Madrid, Spain

American Institute of Mathematics, United States

University of North Carolina at Wilmington, United States
2013/08/28 - 2013/09/06 Organizer of the Thematic Session " Dynamical Systems and Bifurcations" in DGS II 2013 International Conference and Advanced School Planet Earth, Dynamics, Games and Science II, Lisbon (2013/08/28 - 2013/09/06)
Conference (Co-organisor)
 Fundação Calouste Gulbenkian, Portugal

Universidade de Lisboa Instituto Superior de Economia e Gestão, Portugal
2013/09/02 - 2013/09/05 Organizer of the course: "Symmetries in Differential Equations" in the Summer School of Portuguese Mathematical Society (2013) (2013/09/02 - 2013/09/05)
Meeting (Co-organisor)
 Sociedade Portuguesa de Matemática, Portugal
2013/06/10 - 2013/06/13 Co-organizer of the thematic session "Heteroclinic cycles and networks: Stability and Dynamics" in the joint meeting AMS-EMS-SPM International Meeting 2015, Porto (2015/06/10 - 2015/06/13)
Conference (Co-organisor)
 American Mathematical Society, United States

Sociedade Portuguesa de Matemática, Portugal

European Mathematical Society, Germany
2013/03/07 - 2013/03/07 Afternoon of Mathematics I and II (Portuguese) (2013/03/07 - 2013/03/07)
Meeting (Co-organisor)
 Ministério da Educação, Portugal
2013/03/07 - 2013/03/07 Researchers' evening I and II (Portuguese) (2013/03/07 - 2013/03/07)
Meeting (Co-organisor)
 Ministério da Educação, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2024/01/16 Movimento de partículas auto-propulsionadas. Modelo de Cucker-Smale e variantes: análise e simulações
(Thesis) Main arguer
 Ricardo Jorge Rodrigues André (Master)
Universidade Aberta, Portugal
2019/07/16 Ergodic theorems under a topological and probabilistic perspective - Equivalence (portuguese)
Thesis Member
 Lucas Amorim Vilas Boas (Master)
Universidade do Porto Faculdade de Ciências, Portugal
2018/11/21 Heteroclinic dynamics in game theory
(Thesis) Main arguer
 Liliana Garrido-da-Silva (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2015/11/30 Lotka-Volterra systems and polymatrix replicator
(Thesis) Main arguer
 Telmo Jorge Lucas Peixe (PhD)
Universidade de Lisboa Faculdade de Ciências, Portugal
2015/04/14 Expanding Baker maps: a first tool to study homoclinic bifurcations of 3-D diffeomorphisms
Thesis Member
 Enrique Vigil Alvarez (PhD)
Universidad de Oviedo, Spain

Association member

Society Organization name Role
2019/01/01 - 2020/12/31 Center of Mathematics of University of Porto Direction Board
2017/01/01 - 2018/12/31 Center of Mathematics of University of Porto Direction Board

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2019/10/01 - 2020/01/31 Advanced Topics in Geometry and Dynamics PhD (Doutoramento) Universidade do Porto Faculdade de Ciências, Portugal

Universidade de Aveiro, Portugal

Universidade do Minho, Portugal
2019/07/24 - 2019/08/02 Global bifurcations in the unfolding of nilpotent singularities Dynamical Systems (Graduado) Instituto Nacional de Matemática Pura e Aplicada, Brazil
2019/02/01 - 2019/06/30 Qualitative Theory of Dynamical Systems Master (Mestrado) Universidade do Porto Faculdade de Ciências, Portugal
2018/10/01 - 2019/01/31 Advanced Topics in Geometry and Dynamics PhD (Doutoramento) Universidade do Porto Faculdade de Ciências, Portugal

Universidade de Aveiro, Portugal

Universidade do Minho, Portugal
2018/02/01 - 2018/06/30 Introduction to Applications of Mathematics (Portuguese) BsC (Licenciatura) Universidade do Porto Faculdade de Ciências, Portugal
2017/10/01 - 2018/01/31 Advanced Topics in Geometry and Dynamics PhD (Doutoramento) Universidade do Porto Faculdade de Ciências, Portugal

Universidade de Aveiro, Portugal

Universidade do Minho, Portugal
2016/09/15 - 2016/12/20 Biostatistics BsC (Licenciatura) Instituto Politécnico do Porto Escola Superior de Saúde, Portugal
2013/09/01 - 2013/09/05 Differential Equations with symmetry (Portuguese) (Outros) Sociedade Portuguesa de Matemática, Portugal
2013/02/10 - 2013/07/09 Differential Equations with Symmetry PhD (Doutoramento) Universidade do Porto Faculdade de Ciências, Portugal
2002/09/01 - 2012/12/31 Mathematics - High School (Portuguese) High School (Ensino secundário) Ministério da Educação, Portugal
2010/09/01 - 2010/09/08 Elementary games with strategy (Portuguese) Elementary games with strategy (Ensino secundário) Universidade do Porto Faculdade de Ciências, Portugal
2008/09/02 - 2008/09/08 Borsuk-Ulam Theorem and applications (Portuguese) Borsuk-Ulam Theorem and applications (Portuguese) (Ensino secundário) Universidade do Porto Faculdade de Ciências, Portugal

Evaluation committee

Activity description
Role 		Institution / Organization Funding entity
2011/09/01 - 2012/12/31 "More success in schools" (Portuguese)
Member
 Ministério da Educação, Portugal Ministério da Educação
2012/01/01 - 2012/08/31 Scientific reviewer of the program of External Evaluation of High schools (Portuguese)
Evaluator
 Ministério da Educação, Portugal

Interview (tv / radio show)

Program Topic
2014/11/01 - 2014/11/01 "100 seconds of science" (RTP) (Portuguese) Supported by: Unesco, FCT. Sciences and Technology

Journal scientific committee

Journal title (ISSN) Publisher
2020/02/12 - Current The Journal of Difference Equations and Applications (1563-5120) Informa UK (Taylor & Francis)
2019/10/01 - Current Journal of Nonlinear Science (1432-1467) Springer-Verlag
2019/06/01 - Current Nonlinear Dynamics (1573-269X) Springer-Verlag
2016/12/01 - Current Journal of Evolutionary Economics (1432-1386) Springer-Verlag
2016/06/05 - Current Discrete and Continuous Dynamical Systems (1553-5231) American Institute of Mathematical Sciences
2016/05/18 - Current Symmetry (2073-8994) MDPI AG
2015/04/01 - Current Nonlinearity (1361-6544) IOP Publishing
2013/03/01 - Current Entropy (1099-4300) MDPI AG
2013/01/01 - Current Physics Letters A (0375-9601) Elsevier

Mentoring / Tutoring

Topic Student name
2020/10/01 - 2021/02/28 Chaotic motion in a 2-degree-of- freedom hamiltonian system with a homoclinic orbit to a saddle-center equilibrium Rafael Cizeski Nitchai
2019/07/01 - 2019/10/29 Statistics and data mining in an economic model Claudio Afonso Teixeira Macieira
2016/09/01 - 2016/11/30 Animated Differential Equations Maria Luísa Morais Sousa Castro Guedes
Distinctions

Award

2023 "Best teacher” -- Global evaluation.
Universidade de Lisboa Instituto Superior de Economia e Gestão, Portugal
2004 Prize “Engenheiro António de Almeida” (best final mark of the BSc in Mathematics, Faculty of Sciences, University of Porto)
Fundação Engenheiro António de Almeida, Portugal