Homepage | CV | Research | Teaching

·
M.
Bessa, C. M. Silva and H. Vilarinho,
Stretching generic Pesin's entropy formula, Journal
of Statistical Physics 173 (2018), 1523-1546

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S.
Vaz, J. Mateus and C. M. Silva, A consistent discrete
version of a non-autonomous SIRVS model, Discrete Dynamics in Nature and
Society, vol. 2018, Article ID 8152032, 18 pages, 2018

·
R.
Ferreira and C. Silva, A nonautonomous epidemic model
on time scales, J. Difference Equations and Applications 24 (2018),
1295-1317

· S. Rosa, P. Rebelo, C. M. Silva, H. Alves and P. Guedes, Optimal control of the customer dynamics based on marketing policy, Appl. Math. Comput. 330 (2018), 42-55

· (with J. Mateus, P. Rebelo, S. Rosa and D. Torres) Optimal control of non-autonomous SEIRS models with vaccination and treatment, Discrete Contin. Dyn. Syst. S 11 (2018), 1179-1199

· (with A. Bento and J. Oliveira) Nonuniform behavior and stability of Hopfield neural networks with delay, Nonlinearity 30 (2017), 3088–3103

· (with A. Bento, N. Lupa and M. Megan) Integral conditions for nonuniform μ-dichotomy, Discrete Contin. Dyn. Syst. B 22 (2017), 3063–3077

· Existence of Periodic Solutions for Eco-Epidemic Model with Disease in the Prey, J. Math. Anal. Appl. 453 (2017), 383-397

· (with M. Bouhmadi-López, J. Marto and J. Morais), Cosmic infinity: A dynamical system approach, JCAP 03 (2017), 042

· (with J. Mateus) Existence of periodic solutions of a periodic SEIRS model with general incidence, Nonlinear Analysis: Real World Applications, 34 (2017), 379–402

· (with S. Rosa, H. Alves and P. Carvalho) A mathematical model for the customer dynamics based on marketing policy, Appl. Math. Comput., 273 (2016), 42–53

· (with A. Bento) Nonuniform Dichotomic Behavior: Lipschitz Invariant Manifolds for Difference Equations, Portugaliae Mathematica, Port. Math. 73 (2016), 41–64.

· (with J. Mateus) A Non-Autonomous SEIRS Model with General Incidence Rate, Appl. Math. Comput., 247 (2014), 169-189

·
A
generalized epidemic model with latent stage and isolation, *Math. Meth. Appl. Sci., 37 (2014), 1974–1991*

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(with A. Bento) Nonuniform Dichotomic Behavior: Lipschitz Invariant Manifolds for ODEs, Bulletin des Sciences Mathématiques,
*138
(2014), 89–109**
*

·
(with
A. Bento) Generalized nonuniform
dichotomies and local stable manifolds, J. Dyn. Diff. Equat.
**25** (2013), 1139-1158

·
(with
E. Pereira and J. Silva) *A Generalized
Non-Autonomous SIRVS Model*, *Math. Methods Appl. Sci., 36
*

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(with
A. Bento) *Stable manifolds
for nonautonomous equations with nonuniform
polynomial dichotomies*, Q. J. Math, **63** (2012), 275-308

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(with
M. Bessa) *Dense
area preserving homeomorphisms have zero Lyapunov exponents,* Discrete Contin. Dyn. Syst., **32**,
(2012), 1231-1244.

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(with
A. Bento) *Nonuniform
(\mu,\nu)-dichotomies and local dynamics of difference equations, *Nonlinear Anal., Theory Methods Appl.,
Ser. A, **75**, (2012), 78-90.

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(with
A. Bento) *Stable
Manifolds for Nonuniform Polynomial Dichotomies,* J. Funct. Anal., **257 **(2009), 122-14.

·
(with
L. Barreira
and C. Valls) *Nonuniform Behaviour and Robustness,** **J.
Differential Equations,** ***246 ***(2009), 3579-3608.*

·
(with
L. Barreira
and C. Valls) *Integral stable
manifolds in Banach spaces,** **J. London Math. Soc*., **77** (2008), 443-464.

·
(with
L. Barreira
and C. Valls) *Regularity of invariant
manifolds for nonuniformly hyperbolic dynamics*, J. Dynam.
Differential Equations, **20** (2008), 281-299.

·
(with
L. Barreira)
*Lyapunov exponents for continuous
transformations and dimension theory*, Discrete Contin. Dyn. Syst. **13** (2005), 469-490.

·
(with
E. Pereira and J. Silva) *A Generalized
Non-Autonomous SIRVS Model*, Proceedings of the ICNAAM 2010, AIP Conference Proceedings, **1281**
(2010), 583-586.

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(with A. Bento) Robustness of Discrete
Nonuniform Dichotomic Behavior

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(with
A. Bento) *Nonautonomous** **equations, generalized
dichotomies and stable manifolds*

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*Pode** a matemática descrever uma epidemia?, Matemática do Planeta Terra 2013, Universidade
da Beira Interior, Covilhã, 14 December 2013*

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*General dichotomic behavior for trajectories of *nonautonomous difference equations, Planet Earth, Dynamics, Games and Science 2013, Calouste Gulbenkian Foundation, Lisbon, 4 September 2013

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*General dichotomic behavior and C1 invariant
manifolds, PODE2013, *Bialystok University of Technology,
Białystok, Poland, 25 July 2013

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*Robustness of general dichotomic behaviour,
ICDEA2013, Sultan Qaboos University, Muscat, Oman, 29 May 2013*

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*General dichotomic behavior for difference and
differential equations, Universidade da Beira
Interior, Covilhã, 31 September 2012*

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*Invariant manifolds for perturbations of nonautonomous difference equations with general dichotomic behaviour, ECIT2012, Universidade
dos Açores, Ponta Delgada, 13 September 2012*

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*Global stable manifolds for difference equations with
nonuniform (\mu,\nu)-dichotomies, Universidade
do Minho, Braga, 22 February 2012*

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*Global stable manifolds for difference equations with
nonuniform (\mu,\nu)-dichotomies, PODE2011**, Dublin City
University, Dublin, Ireland, 22 May 2011.*

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*A Generalized Non-Autonomous SIRVS Model**,* ICNAAM2010, Rhodes, Greece, 23 September 2010.

· Existência e regularidade de variedades invariantes estáveis para perturbações de dicotomias exponenciais não-uniformes, Department of Pure Mathematics, Universidade do Porto, Porto, 11 April 2008.

· Regularidade de variedades invariantes estáveis, Department of Mathematics, Universidade da Beira Interior, Covilhã, 28 de Março de 2007.

· Expoentes de Lyapunov para transformações não necessariamente diferenciáveis, Department of Mathematics, Universidade da Beira Interior, Covilhã, 2003.

· Construções geométricas e teoria de dimensão, Ergodic Theory and Dynamical Systems Seminar, Department of Mathematics, Instituto Superior Técnico, Lisbon, 2002.

· Expoentes de Lyapunov e teorema ergódico multiplicativo,Ergodic Theory and Dynamical Systems Seminar, Department of Mathematics, Instituto Superior Técnico, Lisbon, 2002.

Participation in the
translation to Portuguese of the book "Introduction to the Modern Theory
of Dynamical Systems" by A. Katok and B. Hasselblatt.