2022
2021
43 – Carvalho, T.; CRISTIANO, RONY ; RODRIGUES, D. S. ; Tonon, DJ . Global Analysis of a piecewise smooth epidemiological model of COVID-19. NONLINEAR DYNAMICS, v. 105, p. 3763-3773, 2021.
42 – CARVALHO, TIAGO; GONÇALVES, LUIZ FERNANDO . Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori. Qualitative Theory of Dynamical Systems, v. 20, p. 55, 2021.
41 – CARVALHO, TIAGO; GONÇALVES, LUIZ FERNANDO . A flow on S^2 presenting the ball as its minimal set. Discrete And Continuous Dynamical Systems-Series B, v. 26, p. 4263, 2021.
2020
39 – CARVALHO, TIAGO; DE FREITAS, BRUNO RODRIGUES . Birth of Isolated Nested Cylinders and Limit Cycles in 3D Piecewise Smooth Vector Fields with Symmetry. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 30, p. 2050098, 2020.
38 – CRISTIANO, RONY ; PAGANO, DANIEL J. ; TONON, DURVAL J. ; CARVALHO, TIAGO . Fold bifurcation of T-singularities and invariant manifolds in 3D piecewise-smooth dynamical systems. PHYSICA D-NONLINEAR PHENOMENA, v. 403, p. 132293, 2020.
37 – CARVALHO, TIAGO; DUARTE NOVAES, DOUGLAS ; GONÇALVES, LUIZ FERNANDO . Sliding Shilnikov connection in Filippov-type predator-prey model. NONLINEAR DYNAMICS, v. 100, p. 2973-2987, 2020.
36 – DE CARVALHO, TIAGO; CRISTIANO, RONY ; GONÇALVES, LUIZ FERNANDO ; TONON, DURVAL JOSÉ . Global analysis of the dynamics of a mathematical model to intermittent HIV treatment. NONLINEAR DYNAMICS, v. 101, p. 719-739, 2020.
35 – CHIEREGATO VICENTIN, DANIEL ; MANCERA, PAULO F.A. ; CARVALHO, TIAGO ; FERNANDO GONÇALVES, LUIZ . Mathematical model of an antiretroviral therapy to HIV via Filippov theory. APPLIED MATHEMATICS AND COMPUTATION, v. 387, p. 125179, 2020.
2019
33 – CARVALHO, TIAGO; GONÇALVES, LUIZ FERNANDO . Combing the Hairy Ball Using a Vector Field Without Equilibria. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 19, p. 1-10, 2019.
32 – CARVALHO, T.; FREITAS, B. . Birth of an arbitrary number of T-singularities in 3D piecewise smooth vector fields. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 24, p. 4851-4861, 2019.
31 – CRISTIANO, RONY ; PAGANO, DANIEL J. ; CARVALHO, TIAGO ; TONON, DURVAL J. . Bifurcations at a degenerate two-fold singularity and crossing limit cycles. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 268, p. 115-140, 2019.
30 – CARVALHO, T.; GONÇALVES, LUIZ FERNANDO ; RODRIGUES, D. S. ; MANCERA, P. . Sliding mode control in a mathematical model to chemoimmunotherapy: The occurrence of typical singularities. APPLIED MATHEMATICS AND COMPUTATION, p. 124782, 2019.
29 – CARVALHO, TIAGO; TEIXEIRA, MARCO ANTONIO . Attractivity, Degeneracy and Codimension of a Typical Singularity in 3D Piecewise Smooth Vector Fields. Milan Journal of Mathematics, v. 87, p. 233-248, 2019.
28 – CARVALHO, T.; GIL, W. M. ; MANCERA, P. ; RODRIGUES, D. S. . A Mathematical Model on the Immune System Role in AchievingBetter Outcomes of Cancer Chemotherapy. TEMA. Tendências em Matemática Aplicada e Computacional, v. 20, p. 343-357, 2019.
2018
27 – CARVALHO, TIAGO; BUZZI, CLAUDIO A. ; EUZEBIO, R. D. . On Poincaré-Bendixson Theorem and non-trivial minimal sets in planar nonsmooth vector fields. PUBLICACIONS MATEMATIQUES, v. 62, p. 113-131, 2018.
26 – CARVALHO, T.; TONON, DURVAL J. ; CARDOSO, J. L. . Canonical Forms for Codimension One Planar Piecewise Smooth Vector Fields with Sliding Region. Journal of Dynamics and Differential Equations, p. 1-22, 2018.
25 – MENDOLA THEODORO, MICAELI ; DE CARVALHO, TIAGO . Análise de retratos de fase. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 13, p. 01-18, 2018.
24 – HENRIQUE LOPES GUSSON, VITOR ; DE CARVALHO, TIAGO . Análise da influência de ρ1 no modelo tumoral e o cálculo do primeiro coeficiente de Lyapunov. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 13, p. 19-30, 2018.
2017
23 – CARVALHO, T.; TONON, DURVAL J. ; Llibre, J. . Limit cycles of discontinuous piecewise polynomial vector fields. Journal of Mathematical Analysis and Applications (Print), v. 449, p. 572-579, 2017.
22 – CARVALHO, TIAGO; Llibre, J. . On the Periodic Solutions of the Five-Dimensional Lorenz Equation Modeling Coupled Rosby Waves and Gravity Waves. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 27, p. 1750090, 2017.
21 – CARVALHO, T.; MELLO, L. F. O. ; BRAGA, D. C. . Limit cycles bifurcating from discontinuous centres. IMA JOURNAL OF APPLIED MATHEMATICS, v. 82, p. 849-863, 2017.
20 – CRISTIANO, RONY ; CARVALHO, TIAGO ; TONON, DURVAL J. ; PAGANO, DANIEL J. . Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in R 3 : A case study in power electronics. PHYSICA D-NONLINEAR PHENOMENA, v. 347, p. 12-20, 2017.
19 – CARVALHO, T.; PEREZ, O. H. . Bifurcações de singularidade dobra-dobra em campos de vetores suaves por partes. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 11ic, p. 26-48, 2017.
18 – CARVALHO, TIAGO; EUZÉBIO, RODRIGO D. ; TEIXEIRA, MARCO ANTONTO ; TONON, DURVAL JOSÉ . Birth of limit cycles from a 3D triangular center of a piecewise smooth vector field. IMA Journal of Applied Mathematics, v. 82, p. 561-578, 2017.
2016
17 – DE CARVALHO, T.; BUZZI, C. A. ; EUZEBIO, R. D. . Chaotic planar piecewise smooth vector fields with non-trivial minimal sets. Ergodic Theory & Dynamical Systems (Print), v. 36, p. 458-469, 2016.
16 – CARVALHO, T.; EUZEBIO, R. D. ; Llibre, J. ; TONON, DURVAL JOSÉ . Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems. Discrete and Continuous Dynamical Systems. Series B, v. 21, p. 1-11, 2016.
15 – CARVALHO, T.; TEIXEIRA, MARCO A. ; Tonon, DJ . Asymptotic stability and bifurcations of 3D piecewise smooth vector fields. Zeitschrift fur Angewandte Mathematik und Physik (Printed ed.), v. 67, p. 67:31, 2016.
14 – CARVALHO, T.. On the Closing Lemma for planar piecewise smooth vector fields. Journal de Mathématiques Pures et Appliquées, v. 106, p. 1174-1185, 2016.
13 – CARVALHO, TIAGO; TEIXEIRA, MARCO A. . On piecewise smooth vector fields tangent to nested tori. Journal of Differential Equations (Print), v. 261, p. 4008-4029, 2016.
2015
12 – CARVALHO, T.; Tonon, DJ . Structural stability and normal forms of piecewise smooth vector fields on R3. PUBLICATIONES MATHEMATICAE-DEBRECEN, v. 86, p. 255-274, 2015.
11 – CARVALHO, T. de; PEREZ, O. H. . Análise qualitativa de modelos através de retratos de fase. C.Q.D.- Revista Eletrônica Paulista de Matemática, v. 5IC, p. 26-61, 2015.
2014
10 – DE CARVALHO, TIAGO; TEIXEIRA, MARCO ANTONIO . Basin of attraction of a cusp-fold singularity in 3D piecewise smooth vector fields. Journal of Mathematical Analysis and Applications (Print), v. 418, p. 11-30, 2014.
9 – BUZZI, CLAUDIO A. ; DE CARVALHO, TIAGO ; TEIXEIRA, MARCO A. . Birth of limit cycles bifurcating from a nonsmooth center. Journal de Mathématiques Pures et Appliquées, v. 102, p. 36-47, 2014.
8 – DE CARVALHO, TIAGO; TONON, DURVAL JOSÉ . Normal Forms for Codimension One Planar Piecewise Smooth Vector Fields. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 24, p. 1450090, 2014.
7 – CARVALHO, T. de; PEREZ, O. H. . Introdução à teoria de Poincaré-Bendixson para campos de vetores planares. C.Q.D.- Revista Eletrônica Paulista de Matemática, v. 3, p. 59-74, 2014.
2013
6 – CARVALHO, T. de; BUZZI, C. A. ; SILVA, P. R. . Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane. Journal of Dynamical and Control Systems, p. 173-193, 2013.
2012
5 – Cardin, P.T. ; CARVALHO, T. de ; Llibre, J. . Bifurcation of limit cycles from an -dimensional linear center inside a class of piecewise linear differential systems. Nonlinear Analysis, v. 75, p. 143-152, 2012.
4 – CARVALHO, T.; BUZZI, C. A. ; TEIXEIRA, M. A. . ON THREE-PARAMETER FAMILIES OF FILIPPOV SYSTEMS: THE FOLD-SADDLE SINGULARITY. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 22, p. 1250291, 2012.
3 – CARVALHO, T.; BUZZI, C. A. ; TEIXEIRA, M. A. . On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane. SIAM Journal on Applied Dynamical Systems, v. 11, p. 1402-1424, 2012.
2011
2 – CARVALHO, T.; Tonon, DJ. Generic Bifurcations of Planar Filippov Systems via Geometric Singular Perturbations. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, v. 18, p. 861-881, 2011.
1 – CARVALHO, T.; CARDIN, P. T. ; Llibre, J. . LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 21, p. 3181-3194, 2011.