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Identification

Personal identification

Full name
António Jorge Gomes Bento

Citation names

  • A. J. G. Bento

Author identifiers

Ciência ID
5F1E-5BE2-CD78
ORCID iD
0000-0003-4949-098X

Email addresses

  • bento@ubi.pt (Professional)

Addresses

  • Departamento de Matemática, Universidade da Beira Interior, 6200-001, Covilhã, Covilhã, Portugal (Professional)

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2) Proficiency (C2)
Spanish; Castilian Proficiency (C2) Proficiency (C2) Upper intermediate (B2) Proficiency (C2) Proficiency (C2)
French Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2) Upper intermediate (B2)
Education
Degree Classification
2001
Concluded
Mathematics (Doutoramento)
University of Sussex Department of Mathematics, United Kingdom
"Interpolation, measures of non-compactness, entropy numbers and s-numbers" (THESIS/DISSERTATION)
1997
Concluded
Matemática (Mestrado)
Universidade de Coimbra Faculdade de Ciencias e Tecnologia, Portugal
"Quantidades de entropia, números-s e valores próprios" (THESIS/DISSERTATION)
1994
Concluded
Ensino da Matemática (Licenciatura)
Universidade da Beira Interior, Portugal
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2021/02/25 - Current Associate Professor (University Teacher) Universidade da Beira Interior Departamento de Matemática, Portugal
2001/10/15 - 2021/02/25 Assistant Professor (University Teacher) Universidade da Beira Interior Departamento de Matemática, Portugal
1997 - 2001 Assistant (University Teacher) Universidade da Beira Interior Departamento de Matemática, Portugal
1994 - 1997 Trainee Assistant (University Teacher) Universidade da Beira Interior Departamento de Matemática, Portugal
Outputs

Publications

Journal article
  1. António J.G. Bento; José J. Oliveira; César M. Silva. "Existence and stability of a periodic solution of a general difference equation with applications to neural networks with a delay in the leakage terms". Communications in Nonlinear Science and Numerical Simulation (2023): http://dx.doi.org/10.1016/j.cnsns.2023.107429.
    10.1016/j.cnsns.2023.107429
  2. ANTÓNIO J. G. BENTO; "; DEPARTAMENTO DE MATEMÁTICA E CENTRO DE MATEMÁTICA E APLICAÇÕES (CMA-UBI) UNIVERSIDADE DA BEIRA INTERIOR 6201-001 COVIL. "Invariant manifolds for difference equations with generalized trichotomies". Carpathian Journal of Mathematics (2022): http://dx.doi.org/10.37193/cjm.2022.03.25.
    10.37193/cjm.2022.03.25
  3. António J. G. Bento; Helder Vilarinho. "Invariant Manifolds for Random Dynamical Systems on Banach Spaces Exhibiting Generalized Dichotomies". Journal of Dynamics and Differential Equations 33 1 (2021): 111-133. https://doi.org/10.1007/s10884-020-09888-7.
    10.1007/s10884-020-09888-7
  4. Bento, A.J.G.; Oliveira, J.J.; Silva, C.M.. "Nonuniform behavior and stability of Hopfield neural networks with delay". Nonlinearity 30 8 (2017): 3088-3103. http://www.scopus.com/inward/record.url?eid=2-s2.0-85026474332&partnerID=MN8TOARS.
    10.1088/1361-6544/aa773b
  5. Bento, A.J.G.; Lupa, N.; Megan, M.; Silva, C.M.. "Integral conditions for nonuniform µ-dichotomy on the half-line". Discrete and Continuous Dynamical Systems - Series B 22 8 (2017): 3063-3077. http://www.scopus.com/inward/record.url?eid=2-s2.0-85021054244&partnerID=MN8TOARS.
    10.3934/dcdsb.2017163
  6. António J. G. Bento; Cristina Costa. "Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies". Electronic Journal of Qualitative Theory of Differential Equations (2017): http://dx.doi.org/10.14232/ejqtde.2017.1.90.
    10.14232/ejqtde.2017.1.90
  7. Bento, A.J.G.; Silva, C.M.. "Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations". Portugaliae Mathematica 73 1 (2016): 41-64. http://www.scopus.com/inward/record.url?eid=2-s2.0-84959524473&partnerID=MN8TOARS.
    10.4171/PM/1975
  8. Bento, A.J.G.; Silva, C.M.. "Nonuniform dichotomic behavior: Lipschitz invariant manifolds for ODEs". Bulletin des Sciences Mathematiques (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84884959626&partnerID=MN8TOARS.
    10.1016/j.bulsci.2013.09.008
  9. Bento, A.J.G.; Silva, C.M.. "Generalized Nonuniform Dichotomies and Local Stable Manifolds". Journal of Dynamics and Differential Equations (2013): 1-20. http://www.scopus.com/inward/record.url?eid=2-s2.0-84887287344&partnerID=MN8TOARS.
    10.1007/s10884-013-9331-4
  10. Bento, A.J.G.; Silva, C.M.. "Nonuniform (µ, ¿) -dichotomies and local dynamics of difference equations". Nonlinear Analysis, Theory, Methods and Applications 75 1 (2012): 78-90. http://www.scopus.com/inward/record.url?eid=2-s2.0-80054003922&partnerID=MN8TOARS.
    10.1016/j.na.2011.08.008
  11. Bento, A.J.G.; Silva, C.M.. "Stable manifolds for non-autonomous equations with non-uniform polynomial dichotomies". Quarterly Journal of Mathematics 63 2 (2012): 275-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-80053999931&partnerID=MN8TOARS.
    10.1093/qmath/haq047
  12. Bento, A.J.G.; Silva, C.. "Stable manifolds for nonuniform polynomial dichotomies". Journal of Functional Analysis 257 1 (2009): 122-148. http://www.scopus.com/inward/record.url?eid=2-s2.0-64849112132&partnerID=MN8TOARS.
    10.1016/j.jfa.2009.01.032
  13. Bento, A.J.G.. "Interpolation of compact non-linear operators". Journal of Inequalities and Applications 5 3 (2000): 227-261. http://www.scopus.com/inward/record.url?eid=2-s2.0-77952079707&partnerID=MN8TOARS.
    10.1155/S1025583400000126
Activities

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2012/09 - 2018/02 Generalized Trichotomies: robustness and global and local invariant manifolds
Supervisor of Cristina Maria Gomes Tomás Da Costa
3.º Ciclo em Matemática e Aplicações (PhD)
Universidade da Beira Interior Departamento de Matemática, Portugal
2010/09 - 2011/11 Funções convexas
Supervisor of Hugo Alexandre Rodrigues Vicente
2.º Ciclo em Ensino de Matemática no 3.º Ciclo do Ensino Básico e no Ensino Secundário (Master)
Universidade da Beira Interior Departamento de Matemática, Portugal
2007/09 - 2008/06 Um estudo sobre as definições fundamentais da Análise Infinitesimal
Supervisor of Alexandra Sofia da Cunha Rodrigues
Mestrado em Ensino da Matemática (Master)
Universidade da Beira Interior Departamento de Matemática, Portugal