???global.info.a_carregar???
Identification

Personal identification

Full name
Nuno Martins

Citation names

  • Martins, Nuno

Author identifiers

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

Languages

Language Speaking Reading Writing Listening Peer-review
French Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
2002/01/21 - Current Assistant Professor (University Teacher) Universidade de Lisboa Instituto Superior Técnico, Portugal
Projects

Contract

Designation Funders
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
Concluded
Outputs

Publications

Journal article
  1. 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
  2. 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
  3. "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
  4. 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
  5. "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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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.
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. 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
  37. 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
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. 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
  44. 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