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Identificação

Identificação pessoal

Nome completo
Nuno Martins

Nomes de citação

  • Martins, Nuno

Identificadores de autor

Ciência ID
101B-390C-E67C
ORCID iD
0000-0003-2173-0101

Idiomas

Idioma Conversação Leitura Escrita Compreensão Peer-review
Francês Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1)
Inglês Utilizador independente (B1) Utilizador independente (B1) Utilizador independente (B1) Utilizador independente (B1)
Percurso profissional

Docência no Ensino Superior

Categoria Profissional
Instituição de acolhimento 		Empregador
2002/01/21 - Atual Professor Auxiliar (Docente Universitário) Universidade de Lisboa Instituto Superior Técnico, Portugal
Projetos

Projeto

Designação Financiadores
2019/01/01 - 2019/12/31 Centro de Análise Matemática, Geometria e Sistemas Dinâmicos
UID/MAT/04459/2019
Associação do Instituto Superior Técnico para a Investigação e Desenvolvimento, Portugal
 Fundação para a Ciência e a Tecnologia
Concluído
Produções

Publicações

Artigo em conferência
  1. A. Nascimento Baptista; C. Correia Ramos; Nuno Martins. "Difference Equations on Matrix Algebras". 2011.
    10.1142/9789814287654_0011
  2. Ramos, C. Correia; Martins, N.; Ramos, J. Sousa. "FOCK REPRESENTATIONS FOR A QUADRATIC COMMUTATION RELATION". 2007.
    10.1142/9789812770752_0046
  3. Ramos, C. Correia; Martins, N.; Severino, R.; Ramos, J. Sousa. "CRITICAL GROUPS FOR ITERATED MAPS". 2007.
    10.1142/9789812770752_0053
Artigo em revista
  1. Jorge Duarte; Cristina Januário; Nuno Martins. "On Chaos, Tipping and Delayed Dynamical Transitions in a Hassell-Type Population Model with an Allee Effect". Mathematics (2025): https://doi.org/10.3390/math13081275.
    10.3390/math13081275
  2. Deng, B.; Duarte, J.; Januário, C.; Martins, N.. "HOMOTOPY ANALYSIS OF EXPLICIT SERIES SOLUTIONS IN A MODIFIED NOSÉ-HOOVER OSCILLATOR". Journal of Applied Mathematics and Computational Mechanics 23 2 (2024): 19-30. http://www.scopus.com/inward/record.url?eid=2-s2.0-85204478843&partnerID=MN8TOARS.
    10.17512/JAMCM.2024.2.02
  3. Correia Ramos, C.; Gonçalves, D.; Martins, N.; Pinto, P.R.. "Unifying interval maps and branching systems with applications to relative graph C*-algebras". Journal of Mathematical Analysis and Applications 519 1 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85140266485&partnerID=MN8TOARS.
    10.1016/j.jmaa.2022.126757
  4. Bo Deng; Jorge Duarte; Cristina Januario; Nuno Martins. "On the chaotic dynamics of a modified Nose-Hoover oscillator". Applied Mathematical Sciences (2023): http://dx.doi.org/10.12988/ams.2023.918515.
    10.12988/ams.2023.918515
  5. Bo Deng; Jorge Duarte; Cristina Januario; Nuno Martins. "Measures of complexity in Nose-Hoover oscillator and a possible new chaos generation mechanism". Applied Mathematical Sciences (2023): http://dx.doi.org/10.12988/ams.2023.917477.
    10.12988/ams.2023.917477
  6. d'Onofrio, A.; Duarte, J.; Januário, C.; Martins, N.. "A SIR forced model with interplays with the external world and periodic internal contact interplays". Physics Letters, Section A: General, Atomic and Solid State Physics 454 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85140069475&partnerID=MN8TOARS.
    10.1016/j.physleta.2022.128498
  7. "Controlling Infectious Diseases: The Decisive Phase Effect on a Seasonal Vaccination Strategy". International Journal of Bifurcation and Chaos 31 15 (2021): http://dx.doi.org/10.1142/s0218127421300445.
    10.1142/s0218127421300445
  8. C. Correia Ramos; N. Martins; P.R. Pinto. "Markov invariant dynamics". Linear Algebra and its Applications (2021): https://doi.org/10.1016/j.laa.2021.02.028.
    10.1016/j.laa.2021.02.028
  9. "Homotopy analysis of explicit solutions in a chronic hepatitis C virus model". Applied Mathematical Sciences 15 1 (2021): 15-32. http://dx.doi.org/10.12988/ams.2021.914241.
    10.12988/ams.2021.914241
  10. Ramos, C.C.; Martins, N.; Pinto, P.R.. "Escape dynamics for interval maps". Discrete and Continuous Dynamical Systems- Series A 39 11 (2019): 6240-6260. http://www.scopus.com/inward/record.url?eid=2-s2.0-85071262533&partnerID=MN8TOARS.
    10.3934/dcds.2019272
  11. Correia Ramos, C.; Martins, N.; Pinto, P.R.. "On graph algebras from interval maps". Annals of Functional Analysis 10 2 (2019): 203-217. http://www.scopus.com/inward/record.url?eid=2-s2.0-85065570256&partnerID=MN8TOARS.
    10.1215/20088752-2018-0019
  12. Duarte, J.; Januário, C.; Martins, N.; Rogovchenko, S.; Rogovchenko, Y.. "Chaos analysis and explicit series solutions to the seasonally forced SIR epidemic model". Journal of Mathematical Biology 78 7 (2019): 2235-2258. http://www.scopus.com/inward/record.url?eid=2-s2.0-85062640758&partnerID=MN8TOARS.
    10.1007/s00285-019-01342-7
  13. Martins, Nuno. "On the dynamical complexity of a seasonally forced discrete SIR epidemic model with a constant vaccination strategy". Complexity (2018): https://www.hindawi.com/journals/complexity/2018/7191487/.
    10.1155/2018/7191487
  14. Ramos, C.C.; Martins, N.; Pinto, P.R.. "Toeplitz algebras arising from escape points of interval maps". Banach Journal of Mathematical Analysis 11 3 (2017): 536-553. http://www.scopus.com/inward/record.url?eid=2-s2.0-85024854769&partnerID=MN8TOARS.
    10.1215/17358787-2017-0005
  15. Duarte, J.; Januário, C.; Martins, N.; Ramos, C.C.; Rodrigues, C.; Sardanyés, J.. "Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells". Numerical Algorithms (2017): 1-28. http://www.scopus.com/inward/record.url?eid=2-s2.0-85015794642&partnerID=MN8TOARS.
    10.1007/s11075-017-0314-0
  16. Duarte, J.; Januário, C.; Martins, N.. "A chaotic bursting-spiking transition in a pancreatic beta-cells system: Observation of an interior glucose-induced crisis". Mathematical Biosciences and Engineering 14 4 (2017): 821-842. http://www.scopus.com/inward/record.url?eid=2-s2.0-85018718896&partnerID=MN8TOARS.
    10.3934/mbe.2017045
  17. Duarte, J.; Januario, C.; Martins, N.. "Analytical solutions of an economic model by the homotopy analysis Method". Applied Mathematical Sciences 10 49 (2016): 2483-2490. http://www.scopus.com/inward/record.url?eid=2-s2.0-85000922967&partnerID=MN8TOARS.
    10.12988/ams.2016.66188
  18. Duarte, J.; Januário, C.; Martins, N.. "On the analytical solutions of the Hindmarsh–Rose neuronal model". Nonlinear Dynamics 82 3 (2015): 1221-1231. http://www.scopus.com/inward/record.url?eid=2-s2.0-84944280520&partnerID=MN8TOARS.
    10.1007/s11071-015-2228-5
  19. Duarte, J.; Januário, C.; Martins, N.. "Explicit series solution for a glucose-induced electrical activity model of pancreatic beta-cells". Chaos, Solitons and Fractals 76 (2015): 1-9. http://www.scopus.com/inward/record.url?eid=2-s2.0-84925446138&partnerID=MN8TOARS.
    10.1016/j.chaos.2015.02.029
  20. Duarte, J.; Rodrigues, C.; Januário, C.; Martins, N.; Sardanyés, J.. "How Complex, Probable, and Predictable is Genetically Driven Red Queen Chaos?". Acta Biotheoretica 63 4 (2015): 341-361. http://www.scopus.com/inward/record.url?eid=2-s2.0-84945480253&partnerID=MN8TOARS.
    10.1007/s10441-015-9254-z
  21. Sardanyés, J.; Rodrigues, C.; Januário, C.; Martins, N.; Gil-Gómez, G.; Duarte, J.. "Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach". Applied Mathematics and Computation 252 (2015): 484-495. http://www.scopus.com/inward/record.url?eid=2-s2.0-84920130330&partnerID=MN8TOARS.
    10.1016/j.amc.2014.12.005
  22. Correia Ramos, C.; Martins, N.; Pinto, P.R.. "Orbit representations from matrices". Linear Algebra and Its Applications 453 (2014): 44-58. http://www.scopus.com/inward/record.url?eid=2-s2.0-84899481808&partnerID=MN8TOARS.
    10.1016/j.laa.2014.04.003
  23. Correia Ramos, C.; El Harti, R.; Martins, N.; Pinto, P.R.. "Baumslag-solitar group C*-algebras from interval maps". Banach Journal of Mathematical Analysis 8 1 (2014): 138-147. http://www.scopus.com/inward/record.url?eid=2-s2.0-84885722004&partnerID=MN8TOARS.
    10.15352/bjma/1381782093
  24. Ramos, C.C.; Martins, N.; Pinto, P.R.. "On C*-Algebras from Interval Maps". Complex Analysis and Operator Theory 7 1 (2013): 221-235. http://www.scopus.com/inward/record.url?eid=2-s2.0-84872868433&partnerID=MN8TOARS.
    10.1007/s11785-011-0132-7
  25. Sardanyés, J.; Duarte, J.; Januário, C.; Martins, N.. "Topological entropy of catalytic sets: Hypercycles revisited". Communications in Nonlinear Science and Numerical Simulation 17 2 (2012): 795-803. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052349180&partnerID=MN8TOARS.
    10.1016/j.cnsns.2011.06.020
  26. Nascimento Baptista, A.; Correia Ramos, C.; Martins, N.. "Iteration of quadratic maps on matrix algebras". International Journal of Bifurcation and Chaos 22 6 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84863843150&partnerID=MN8TOARS.
    10.1142/S0218127412501507
  27. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Scaling law in saddle-node bifurcations for one-dimensional maps: A complex variable approach". Nonlinear Dynamics 67 1 (2012): 541-547. http://www.scopus.com/inward/record.url?eid=2-s2.0-82255193982&partnerID=MN8TOARS.
    10.1007/s11071-011-0004-8
  28. Duarte, J.; Janurio, C.; Martins, N.; Sardanys, J.. "On chaos, transient chaos and ghosts in single population models with Allee effects". Nonlinear Analysis: Real World Applications 13 4 (2012): 1647-1661. http://www.scopus.com/inward/record.url?eid=2-s2.0-84856527348&partnerID=MN8TOARS.
    10.1016/j.nonrwa.2011.11.022
  29. Correia Ramos, C.; Martins, N.; Pinto, P.R.. "Orbit representations from linear mod 1 transformations". Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 8 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84882305880&partnerID=MN8TOARS.
    10.3842/SIGMA.2012.029
  30. Correia Ramos, C.; Martins, N.; Nascimento Baptista, A.. "Dynamics on certain sets of stochastic matrices". Nonlinear Dynamics 65 3 (2011): 301-310. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051788484&partnerID=MN8TOARS.
    10.1007/s11071-010-9891-3
  31. Correia Ramos, C.; Martins, N.; Pinto, P.R.. "Interval maps from Cuntz-Krieger algebras". Journal of Mathematical Analysis and Applications 374 2 (2011): 347-354. http://www.scopus.com/inward/record.url?eid=2-s2.0-77957794371&partnerID=MN8TOARS.
    10.1016/j.jmaa.2010.09.045
  32. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Quantifying chaos for ecological stoichiometry.". Chaos (Woodbury, N.Y.) 20 3 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-79952119101&partnerID=MN8TOARS.
  33. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Quantifying chaos for ecological stoichiometry". Chaos 20 3 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-78649395273&partnerID=MN8TOARS.
    10.1063/1.3464327
  34. Duarte, J.; Januário, C.; Martins, N.. "Topological entropy and the controlled effect of glucose in the electrical activity of pancreatic ß-cells". Physica D: Nonlinear Phenomena 238 21 (2009): 2129-2137. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349236844&partnerID=MN8TOARS.
    10.1016/j.physd.2009.08.010
  35. Duarte, J.; Januário, C.; Martins, N.; Sardanyés, J.. "Chaos and crises in a model for cooperative hunting: A symbolic dynamics approach". Chaos 19 4 (2009): http://www.scopus.com/inward/record.url?eid=2-s2.0-74349098074&partnerID=MN8TOARS.
    10.1063/1.3243924
  36. Duarte, J.; Januário, C.; Martins, N.. "Reciprocal inhibitory coupling: Measure and control of chaos on a biophysically motivated model of bursting". Communications in Nonlinear Science and Numerical Simulation 14 6 (2009): 2734-2746. http://www.scopus.com/inward/record.url?eid=2-s2.0-58349091494&partnerID=MN8TOARS.
    10.1016/j.cnsns.2008.10.020
  37. Duarte, J.; Januário, C.; Martins, N.. "Chaos in ecology: The topological entropy of a tritrophic food chain model". Discrete Dynamics in Nature and Society 2008 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-55849111543&partnerID=MN8TOARS.
    10.1155/2008/541683
  38. Correia Ramos, C.; Martins, N.; Pinto, P.R.; Sousa Ramos, J.. "Cuntz-Krieger algebras representations from orbits of interval maps". Journal of Mathematical Analysis and Applications 341 2 (2008): 825-833. http://www.scopus.com/inward/record.url?eid=2-s2.0-38949170561&partnerID=MN8TOARS.
    10.1016/j.jmaa.2007.10.059
  39. Duarte, J.; Januário, C.; Martins, N.. "Topological invariants in the study of a chaotic food chain system". Chaos 18 2 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-46449094968&partnerID=MN8TOARS.
    10.1063/1.2903843
  40. Correia Ramos, C.; Martins, N.; Pinto, P.R.; Sousa Ramos, J.. "Orbit equivalence and von Neumann algebras for expansive interval maps". Chaos, Solitons and Fractals 33 1 (2007): 109-117. http://www.scopus.com/inward/record.url?eid=2-s2.0-33846827225&partnerID=MN8TOARS.
    10.1016/j.chaos.2006.09.083
  41. Ramos, C.C.; Martins, N.; Ramos, J.S.. "Finite dimensional representations of *-algebras arising from a quadratic map". Chaos, Solitons and Fractals 34 4 (2007): 1202-1212. http://www.scopus.com/inward/record.url?eid=2-s2.0-34247129554&partnerID=MN8TOARS.
    10.1016/j.chaos.2006.03.113
  42. Ramos, C.C.; Martins, N.; Severino, R.; Ramos, J.S.. "Noncommutative topological dynamics". Chaos, Solitons and Fractals 27 1 (2006): 15-23. http://www.scopus.com/inward/record.url?eid=2-s2.0-22444441081&partnerID=MN8TOARS.
    10.1016/j.chaos.2005.03.016
  43. Martins, N.; Severino, R.; Ramos, J.S.. "Bowen-Franks groups of reducible bimodal subshifts of finite type". Linear Algebra and Its Applications 414 1 (2006): 125-137. http://www.scopus.com/inward/record.url?eid=2-s2.0-33244495101&partnerID=MN8TOARS.
    10.1016/j.laa.2005.09.011
  44. Ramos, C.C.; Martins, N.; Ramos, J.S.. "Conductance and noncommutative dynamical systems". Nonlinear Dynamics 44 1-4 (2006): 127-134. http://www.scopus.com/inward/record.url?eid=2-s2.0-33744816792&partnerID=MN8TOARS.
    10.1007/s11071-006-1955-z
  45. Martins, N.; Severino, R.; Ramos, J.S.. "K-theory for Cuntz-Krieger algebras arising from real quadratic maps". International Journal of Mathematics and Mathematical Sciences 2003 34 (2003): 2139-2146. http://www.scopus.com/inward/record.url?eid=2-s2.0-17844380483&partnerID=MN8TOARS.
    10.1155/S0161171203209236
  46. Martins, N.; Severino, R.; Sousa Ramos, J.. "Isentropic real cubic maps". International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 7 (2003): 1701-1709. http://www.scopus.com/inward/record.url?eid=2-s2.0-0141618398&partnerID=MN8TOARS.
    10.1142/S0218127403007552
  47. Martins, N.; Sousa Ramos, J.. "Bowen-Franks groups associated with linear mod one transformations". International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 13 7 (2003): 1997-2004. http://www.scopus.com/inward/record.url?eid=2-s2.0-0141730317&partnerID=MN8TOARS.
    10.1142/S0218127403007837
  48. Martins, N.; Severino, R.; Sousa Ramos, J.. "Bowen-Franks groups for bimodal matrices". Journal of Difference Equations and Applications 9 3-4 (2003): 423-433. http://www.scopus.com/inward/record.url?eid=2-s2.0-0344942510&partnerID=MN8TOARS.
    10.1080/1023619021000047842
Capítulo de livro
  1. Ramos, Carlos Correia; Martins, Nuno; Pinto, Paulo R.. "Orbit Representations and Circle Maps". In Operator Algebras, Operator Theory and Applications, 417-427. Birkhäuser Basel, 2008.
    Publicado • 10.1007/978-3-7643-8684-9_21