Artigos completos publicados em periódicos

CARVALHO, T. de;DE CARVALHO, T.;DE CARVALHO, TIAGO;CARVALHO, T.;CARVALHO, TIAGO DE;CARVALHO, TIAGO;Tiago Carvalho;Carvalho, T.;Tiago de Carvalho ; CRISTIANO, R. ; RODRIGUES, DIEGO S. ; TONON, DURVAL J. ; Global Analysis of the Dynamics of a Piecewise Linear Vector Field Model for Prostate Cancer Treatment. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. ., p. 1-, 2021

CARVALHO, TIAGO ; FREITAS, BRUNO RODRIGUES ; The local behavior around switching planes in a mathematical model to chemoimmunotherapy. Communications in Nonlinear Science and Numerical Simulation, v. 120, p. 107186-, 2023

ANTUNES, ANDRÉ AMARAL ; CARVALHO, TIAGO ; VARÃO, RÉGIS ; On topological entropy of piecewise smooth vector fields. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 362, p. 52-73, 2023

CARVALHO, TIAGO ; GONÇALVES, LUIZ FERNANDO ; LLIBRE, JAUME ; On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 32, p. 2250245-11 pages, 2022

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

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

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

CARVALHO, TIAGO ; CRISTIANO, RONY ; RODRIGUES, DIEGO S. ; TONON, DURVAL J. ; Global Analysis of the Dynamics of a Piecewise Linear Vector Field Model for Prostate Cancer Treatment. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 28, p. 375-398, 2022

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

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

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

Carvalho, T. ; GONÇALVES, L.F. ; Llibre, J. ; Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers. International Journal Of Bifurcation And Chaos, v. 31, p. 2150224-, 2021

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

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

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

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

CARVALHO, T. ; EUZEBIO, R. D. ; Minimal sets and chaos in planar piecewise smooth vector fields. Electronic Journal of Qualitative Theory of Differential Equations, v. , p. 1-15, 2020

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, v. , p. 124782-, 2019

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

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

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

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

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

MENDOLA THEODORO, MICAELI ; DE CARVALHO, TIAGO ; Análise de retratos de fase. REVISTA ELETRÔNICA PAULISTA DE MATEMÁTICA, v. 13, p. 01-18, 2018

RODRIGUES, D.S. ; MANCERA, P.F.A. ; CARVALHO, T. ; GONÇALVES, L.F. ; A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia. APPLIED MATHEMATICS AND COMPUTATION, v. 349, p. 118-133, 2019

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

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, v. , p. 1-22, 2018

CRISTIANO, RONY ; CARVALHO, TIAGO ; TONON, DURVAL J. ; PAGANO, DANIEL J. ; Hopf and Homoclinic bifurcations on the sliding vector field of switching systems in <math altimg='&quot;si58.gif&quot;' display='&quot;inline&quot;' overflow='&quot;scroll&quot;'> <msup> <mrow> <mi mathvariant='&quot;double-struck&quot;'>R</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </math> : A case study in power electronics. PHYSICA D-NONLINEAR PHENOMENA, v. 347, p. 12-20, 2017

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

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

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

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

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

CARVALHO, T. de;DE CARVALHO, T.;DE CARVALHO, TIAGO;CARVALHO, T.;CARVALHO, TIAGO DE;CARVALHO, TIAGO;Tiago Carvalho;Carvalho, T.;Tiago de Carvalho ; 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

CARVALHO, T. de;DE CARVALHO, T.;DE CARVALHO, TIAGO;CARVALHO, T.;CARVALHO, TIAGO DE;CARVALHO, TIAGO;Tiago Carvalho;Carvalho, T.;Tiago de Carvalho ; 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

CARVALHO, T. ; On the Closing Lemma for planar piecewise smooth vector fields. Journal de Mathématiques Pures et Appliquées, v. 106, p. 1174-1185, 2016

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

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

CARVALHO, T. ; Tonon, DJ ; Structural stability and normal forms of piecewise smooth vector fields on $mathbb R^3$. PUBLICATIONES MATHEMATICAE-DEBRECEN, v. 86, p. 255-274, 2015

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

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

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

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

CARVALHO, T. de ; 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

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, v. , p. 173-193, 2013

CARVALHO, T. de ; 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

CARVALHO, T. de ; 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

CARVALHO, T. de ; 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

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

Trabalhos completos publicados em anais de congressos

CARVALHO, T. de ; TEIXEIRA, M. A. ; Nonsmooth vector fields on R3 -- The cusp-fold singularity. In: New Trends in Dynamical Systems, 2012, Salou-Espanha, Bifurcations of non-smooth vector fields on R3. The cusp-fold singularity, 2012. p. -.

CARVALHO, T. de ; BUZZI, C. A. ; SILVA, P. R. ; The regularization process and limit periodic sets. In: CNMAC - Congresso Nacional de Matematica Aplicada e Computacional, 2012, Aguas de Lindoia - SP, Anais do CNMAC, 2012. p. 705-710.

BUZZI, C. A. ; CARVALHO, T. de ; SILVA, P. R. ; The Poincaré Index of Non-Smooth Vector Fields on the Plane. In: CNMAC - Congresso Nacional de Matemática Aplicada e Computacional, 2012, Aguas de Lindoia-SP, Anais do CNMAC, 2012. p. 489-494.

CARVALHO, T. de ; BUZZI, C. A. ; TEIXEIRA, M. A. ; Conjuntos Limite e Bifurcações em Campos de Vetores Descontínuos no Plano. In: II Oficina de Sistemas Dinâmicos, 2010, Campinas, Conjuntos Limite e Bifurcações em Campos de Vetores Descontínuos no Plano, 2010. p. -.