Geometria de sistemas de controle, sistemas dinâmicos e estocásticos

• Processo: 12/18780-0
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Área do conhecimento: Ciências Exatas e da Terra - Matemática - Geometria e Topologia
• Pesquisador responsável: Marco Antônio Teixeira
• Beneficiário: Marco Antônio Teixeira
• Instituição Sede: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brasil
• Pesquisadores principais: Ketty Abaroa de Rezende ; Luiz Antonio Barrera San Martin
• Pesquisadores associados: Ana Cristina de Oliveira Mereu ; Caio José Colletti Negreiros ; Christian Horacio Olivera ; Diego Sebastian Ledesma ; Douglas Duarte Novaes ; Eduardo Garibaldi ; Gabriel Ponce ; José Régis Azevedo Varão Filho ; Lino Anderson da Silva Grama ; Mariana Rodrigues da Silveira ; Maurício Firmino Silva Lima ; Paulo Regis Caron Ruffino ; Pedro Jose Catuogno ; Ricardo Miranda Martins
• Auxílio(s) vinculado(s): 15/10398-7 - Medidas de Gibbs em temperatura nula, AV.EXT; 14/17487-2 - Semigrupos em Grupos de Lie semi simples, AV.EXT
• Bolsa(s) vinculada(s): 17/23692-6 - Estabilidade estrutural de sistemas dinâmicos suaves por partes em toros e esferas, BP.MS; 17/23192-3 - Um estudo sobre fibrados de Higgs e aplicações, BP.MS; 17/03675-0 - Tópicos em geometria simplética e aplicações a simetria do espelho, BP.DR; + mais bolsas vinculadas 17/04689-4 - Ciclos limite para sistemas dinâmicos suaves por partes em dimensão n>2 e em variedades compactas, BP.MS; 16/25459-4 - Persistência de conjuntos minimais em sistemas dinâmicos, BP.MS; 16/21975-8 - Sistemas dinâmicos lineares por partes (em infinitas zonas): estabilidade estrutural e assintótica, BP.MS; 16/06716-6 - Introdução aos grupos e álgebras de Lie nilpotentes, BP.IC; 16/09269-0 - O problema do Centro-Foco, integrais abelianas e o 16º Problema de Hilbert, BP.IC; 16/07029-2 - Estruturas complexas generalizadas invariantes em espaços homogêneos, BP.DR; 15/23896-5 - Estruturas invariantes em variedades bandeira reais., BP.PD; 15/22762-5 - Estabilidade Estrutural de Sistemas Não Suaves em Variedades Tridimensionais, BP.DR; 15/02517-6 - Estudo de conjuntos minimais em sistemas dinâmicos não suaves, BP.PD; 15/10937-5 - Geometria Complexa Generalizada em Espaços Homogêneos, T-dualidade e aplicações à simetria do espelho, BP.DR; 15/02731-8 - Rigidez de sistemas dinâmicos parcialmente hiperbólicos e sistemas de Anosov, BP.PD; 14/11943-6 - Sequências espectrais no estudo de fluxos de Morse-Bott e Morse-Novikov, BP.PD; 14/12334-3 - Introdução à dinâmica estocástica, BP.IC; 13/25828-1 - Conjuntos minimais e variedades invariantes em sistemas suaves por partes, BP.PD; 13/19756-8 - Entropia invariante para a ação de semigrupos em espaços homogêneos, BP.PD; 13/18168-5 - Sistemas Dinâmicos Descontínuos no Plano, BP.MS; 13/20665-7 - Teorema do ponto fixo e aplicações, BP.IC; 13/10467-3 - Geometria de Espaços Homogêneos de Grupos de Laços, BP.DR; 13/07523-9 - Bifurcações de Ciclos Degenerados em Sistemas Descontínuos, BP.DR; 13/14601-6 - Introdução à teoria qualitativa das equações diferenciais, BP.IC; 13/04532-7 - Introdução aos sistemas dinâmicos planares, BP.IC - menos bolsas vinculadas
• Assunto(s): Geometria diferencial Sistemas dinâmicos Processos estocásticos Controle (teoria de sistemas e controle)
• Palavra(s)-Chave do Pesquisador: Espaços homogêneos | Geometria Diferencial | sistemas dinâmicos | Sistemas Estocásticos | Teoria do Controle | Sistemas Dinâmicos

Resumo

Este projeto temático deve primordialmente integrar grupos de pesquisado IMECC/Unicamp voltados ao estudo geométrico de fenômenos dinâmicos. As áreas envolvidas são Sistemas de Controle, Sistemas Dinâmicos, Sistemas Dinâmicos Estocásticos, Teoria de Lie e Geometria Diferencial, que se entrelaçam frequentemente pelo emprego de métodos semelhantes e resultados que se encadeiam. Diversas linhas de pesquisa são incluídas no projeto, que conta com 11 pesquisadores do Departamento de Matemática do IMECC e de outras Instituições do Estado de São Paulo, cerca de 30estudantes de pós-graduação, assim como diversos colaboradores de Instituições brasileiras e do exterior. O presente projeto será norteado através das seguintes ações: i) investir na formação de mestres e doutores/pesquisadores; ii) continuar o processo de inserção nacional e internacional dos pesquisadores através de fluxos contínuos de professores visitantes de algo nível, participação em congressos com apresentação de trabalhos, visitas curtas a centro de reconhecida reputação, etc. (AU)

Publicações científicas

(72)

(Referências obtidas automaticamente do Web of Science e do SciELO, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores)

MARTINS, RICARDO MIRANDA; MEREU, ANA CRISTINA. Limit cycles in discontinuous classical Lienard equations. Nonlinear Analysis: Real World Applications, v. 20, p. 67-73, DEC 2014. (12/18780-0, 10/13371-9, 12/06879-1)

MELO, ALISON M.; MORGADO, LEANDRO B.; RUFFINO, PAULO R.. DECOMPOSITION OF STOCHASTIC FLOWS GENERATED BY STRATONOVICH SDES WITH JUMPS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 21, n. 9, SI, p. 3209-3218, NOV 2016. (11/50151-0, 15/07278-0, 11/14797-2, 12/18780-0)

DEL BARCO, VIVIANA; GRAMA, LINO; SORIANI, LEONARDO. T-duality on nilmanifolds. Journal of High Energy Physics, n. 5, MAY 24 2018. (15/10937-5, 15/23896-5, 17/13725-4, 12/18780-0, 16/22755-1)

DE REZENDE, KETTY A.; LEDESMA, GUIDO G. E.; MANZOLI NETO, OZIRIDE. Smale flows on S-2 x S-1. Ergodic Theory and Dynamical Systems, v. 35, n. 5, p. 1546-1581, AUG 2015. (12/18780-0)

BERTOLIM, M. A.; LIMA, D. V. S.; MELLO, M. P.; DE REZENDE, K. A.; DA SILVEIRA, M. R.. A global two-dimensional version of Smale's cancellation theorem via spectral sequences. Ergodic Theory and Dynamical Systems, v. 36, n. 6, p. 1795-1838, SEP 2016. (10/08579-0, 12/18780-0)

CATUOGNO, PEDRO J.; LEDESMA, DIEGO S.; RUFFINO, PAULO R.. FOLIATED STOCHASTIC CALCULUS: HARMONIC MEASURES. Transactions of the American Mathematical Society, v. 368, n. 1, p. 563-579, JAN 2016. (12/18780-0, 11/50151-0)

ALVES, LUCIANA A.; SAN MARTIN, LUIZ A. B.. Conditions for equality between Lyapunov and Morse decompositions. Ergodic Theory and Dynamical Systems, v. 36, n. 4, p. 1007-1036, JUN 2016. (12/18780-0, 06/60031-3)

BUZZI, CLAUDIO A.; SILVA LIMA, MAURICIO FIRMINO; TORREGROSA, JOAN. Limit cycles via higher order perturbations for some piecewise differential systems. PHYSICA D-NONLINEAR PHENOMENA, v. 371, p. 28-47, MAY 15 2018. (17/03352-6, 12/18780-0, 13/24541-0)

LIMA, DAHISY V. DE S.; MANZOLI NETO, OZIRIDE; DE REZENDE, KETTY A.; DA SILVEIRA, MARIANA R.. CANCELLATIONS FOR CIRCLE-VALUED MORSE FUNCTIONS VIA SPECTRAL SEQUENCES. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 51, n. 1, p. 259-311, MAR 2018. (15/10930-0, 12/18780-0, 14/11943-6)

CARVALHO, TIAGO; TEIXEIRA, MARCO A.. On piecewise smooth vector fields tangent to nested tori. Journal of Differential Equations, v. 261, n. 7, p. 4008-4029, OCT 5 2016. (12/18780-0, 14/02134-7)

FRANZOSA, ROBERT; DE REZENDE, KETTY A.; VIEIRA, EWERTON R.. GENERALIZED TOPOLOGICAL TRANSITION MATRIX. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 48, n. 1, p. 183-212, SEP 2016. (12/18780-0, 10/19230-8)

LLIBRE, JAUME; TEIXEIRA, MARCO A.; ZELI, IRIS O.. Birth of limit cycles for a class of continuous and discontinuous differential systems in (d+2)-dimension. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 31, n. 3, p. 237-250, SEP 2016. (12/23591-1, 12/18780-0, 13/21078-8)

LLIBRE, JAUME; TEIXEIRA, MARCO ANTONIO. Periodic orbits of continuous and discontinuous piecewise linear differential systems via first integrals. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 12, n. 1, p. 121-135, JUN 2018. (12/18780-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.. Maximum number of limit cycles for certain piecewise linear dynamical systems. NONLINEAR DYNAMICS, v. 82, n. 3, p. 1159-1175, NOV 2015. (12/18780-0, 12/10231-7)

RUFFINO, PAULO R.; MORGADO, LEANDRO. Geometry of stochastic delay differential equations with jumps in manifolds. Electronic Communications in Probability, v. 21, 2016. (11/50151-0, 12/18780-0)

BUZZI, C. A.; EUZEBIO, R. D.; MEREU, A. C.. Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder. BULLETIN DES SCIENCES MATHEMATIQUES, v. 140, n. 5, p. 519-540, JUN 2016. (14/18508-3, 12/18780-0, 13/24541-0, 13/25828-1)

CARVALHO, TIAGO; TEIXEIRA, MARCO ANTONIO; TONON, DURVAL JOSE. Asymptotic stability and bifurcations of 3D piecewise smooth vector fields. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 67, n. 2, APR 2016. (12/18780-0, 14/02134-7, 12/00481-6)

MEREU, ANA C.; OLIVEIRA, REGILENE; RODRIGUES, CAMILA A. B.. Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems. NONLINEAR DYNAMICS, v. 93, n. 4, p. 2201-2212, SEP 2018. (14/00304-2, 12/18780-0)

DEL BARCO, VIVIANA; BARRERA SAN MARTIN, LUIZ ANTONIO. De Rham 2-Cohomology of Real Flag Manifolds. Symmetry Integrability and Geometry-Methods and Applications, v. 15, 2019. (17/13725-4, 12/18780-0, 15/23896-5)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.. Higher order averaging theory for finding periodic solutions via Brouwer degree. Nonlinearity, v. 27, n. 3, p. 563-583, MAR 2014. (12/18780-0, 13/16492-0)

ITIKAWA, JACKSON; LLIBRE, JAUME; MEREU, ANA CRISTINA; OLIVEIRA, REGILENE. LIMIT CYCLES IN UNIFORM ISOCHRONOUS CENTERS OF DISCONTINUOUS DIFFERENTIAL SYSTEMS WITH FOUR ZONES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 22, n. 9, p. 3259-3272, NOV 2017. (12/18780-0, 15/07612-7, 14/00304-2)

CARDIN, PEDRO TONIOL; TEIXEIRA, MARCO ANTONIO. Fenichel Theory for Multiple Time Scale Singular Perturbation Problems. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 16, n. 3, p. 1425-1452, 2017. (13/24541-0, 13/21947-6, 12/18780-0)

MORGADO, LEANDRO; RUFFINO, PAULO R.. Extension of time for decomposition of stochastic flows in spaces with complementary foliations. Electronic Communications in Probability, v. 20, p. 1-9, MAY 17 2015. (12/18780-0, 11/14797-2, 11/50151-0)

RODRIGUES, CHRISTIAN S.; RUFFINO, PAULO R. C.. A family of rotation numbers for discrete random dynamics on the circle. Stochastics and Dynamics, v. 15, n. 3, SEP 2015. (11/50151-0, 12/18780-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.. On the birth of limit cycles for non-smooth dynamical systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 139, n. 3, p. 229-244, MAY 2015. (12/18780-0, 13/16492-0)

PATRAO, MAURO; SAN MARTIN, LUIZ A. B.. The isotropy representation of a real flag manifold: Split real forms. INDAGATIONES MATHEMATICAE-NEW SERIES, v. 26, n. 3, p. 547-579, MAY 2015. (12/18780-0)

ANDRADE, KAMILA DA S.; JEFFREY, MIKE R.; MARTINS, RICARDO M.; TEIXEIRA, MARCO A.. Homoclinic Boundary-Saddle Bifurcations in Planar Nonsmooth Vector Fields. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 32, n. 04, p. 27-pg., 2022-03-30. (18/13481-0, 21/08031-9, 15/06903-8, 12/18780-0, 18/03338-6, 14/21259-5, 13/07523-9)

LEDESMA, DIEGO SEBASTIAN; ANAYA, ROBERT ANDRES GALEANO; BORGES DA SILVA, FABIANO. Estimates for the volume variation of compact submanifolds driven by a stochastic flow. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. N/A, p. 27-pg., 2022-06-07. (15/07278-0, 18/16568-0, 12/18780-0)

LUQUE JUSTO, CLAUDIA; LEDESMA, DIEGO SEBASTIAN; SILVA, FABIANO BORGES. An isometric embedding of the g(t)-Brownian motion with application in stability and homotopy group. Stochastics and Dynamics, v. 19, n. 6, DEC 2019. (15/07278-0, 12/18780-0, 18/16568-0)

DEL BARCO, VIVIANA; GRAMA, LINO; SORIANI, LEONARDO. T-duality on nilmanifolds. Journal of High Energy Physics, v. N/A, n. 5, p. 25-pg., 2018-05-24. (15/23896-5, 12/18780-0, 17/13725-4, 16/22755-1, 15/10937-5)

BOCHI, JAIRO; GARIBALDI, EDUARDO. EXTREMAL NORMS FOR FIBER-BUNCHED COCYCLES. JOURNAL DE L ECOLE POLYTECHNIQUE-MATHEMATIQUES, v. 6, p. 58-pg., 2019-01-01. (12/18780-0)

DE REZENDE, KETTY A.; LEDESMA, GUIDO G. E.; MANZOLI NETO, OZIRIDE. Smale flows on S-2 x S-1. Ergodic Theory and Dynamical Systems, v. 35, p. 36-pg., 2015-08-01. (12/18780-0)

BERTOLIM, M. A.; LIMA, D. V. S.; MELLO, M. P.; DE REZENDE, K. A.; DA SILVEIRA, M. R.. A global two-dimensional version of Smale's cancellation theorem via spectral sequences. Ergodic Theory and Dynamical Systems, v. 36, p. 44-pg., 2016-09-01. (10/08579-0, 12/18780-0)

MELO, ALISON M.; MORGADO, LEANDRO B.; RUFFINO, PAULO R.. DECOMPOSITION OF STOCHASTIC FLOWS GENERATED BY STRATONOVICH SDES WITH JUMPS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 21, n. 9, p. 10-pg., 2016-11-01. (15/07278-0, 12/18780-0, 11/14797-2, 11/50151-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO ANTONIO. On the periodic solutions of perturbed 4D non-resonant systems. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 9, n. 2, p. 22-pg., 2015-12-01. (12/18780-0, 13/16492-0)

CATUOGNO, PEDRO J.; LEDESMA, DIEGO S.; RUFFINO, PAULO R.. FOLIATED STOCHASTIC CALCULUS: HARMONIC MEASURES. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 368, n. 1, p. 17-pg., 2016-01-01. (12/18780-0, 11/50151-0)

DEL BARCO, VIVIANA; GRAMA, LINO. On generalized G(2)-structures and T-duality. JOURNAL OF GEOMETRY AND PHYSICS, v. 132, p. 109-113, OCT 2018. (17/13725-4, 16/22755-1, 12/18780-0, 15/23896-5)

LIMA, D. V. S.; MANZOLI NETO, O.; DE REZENDE, K. A.. On handle theory for Morse-Bott critical manifolds. Geometriae Dedicata, v. 202, n. 1, p. 265-309, OCT 2019. (12/18780-0, 16/24707-4, 14/11943-6)

GASPARIM, ELIZABETH; GRAMA, LINO; MARTIN, LUIZ A. B. SAN. Symplectic Lefschetz fibrations on adjoint orbits. FORUM MATHEMATICUM, v. 28, n. 5, p. 967-979, SEP 2016. (14/17337-0, 12/10179-5, 12/18780-0)

FREITAS, ANA P. C.; DEL BARCO, VIVIANA; SAN MARTIN, LUIZ A. B.. Invariant almost complex structures on real flag manifolds. Annali di Matematica Pura ed Applicata, v. 197, n. 6, p. 1821-1844, DEC 2018. (17/13725-4, 12/18780-0, 15/23896-5)

MELO, ALISON M.; MORGADO, LEANDRO; RUFFINO, PAULO R.. Topology of Foliations and Decomposition of Stochastic Flows of Diffeomorphisms. Journal of Dynamics and Differential Equations, v. 30, n. 1, p. 39-54, MAR 2018. (11/50151-0, 11/14797-2, 12/18780-0)

LLIBRE, JAUME; TEIXEIRA, MARCO ANTONIO. Piecewise linear differential systems without equilibria produce limit cycles?. NONLINEAR DYNAMICS, v. 88, n. 1, p. 157-164, APR 2017. (12/18780-0)

LEDESMA, DIEGO SEBASTIAN; BORGES DA SILVA, FABIANO. Decomposition of stochastic flow and an averaging principle for slow perturbations. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 35, n. 4, p. 625-654, OCT 1 2020. (15/07278-0, 18/16568-0, 12/18780-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO ANTONIO. On the periodic solutions of perturbed 4D non-resonant systems. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 9, n. 2, SI, p. 229-250, DEC 2015. (13/16492-0, 12/18780-0)

DO PRADO, RAFAELA F.; GRAMA, LINO. On the stability of harmonic maps under the homogeneous Ricci flow. COMPLEX MANIFOLDS, v. 5, n. 1, p. 122-132, JAN 2018. (16/22755-1, 12/18780-0)

BUZZI, CLAUDIO A.; ROBERTO, LUCI ANY F.; TEIXEIRA, MARCO A.. Stability conditions for reversible and partially integrable systems. PORTUGALIAE MATHEMATICA, v. 78, n. 1, p. 43-63, 2021. (12/18780-0, 13/24541-0)

NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.; ZELI, IRIS O.. The generic unfolding of a codimension-two connection to a two-fold singularity of planar Filippov systems. Nonlinearity, v. 31, n. 5, p. 2083-2104, MAY 2018. (16/11471-2, 12/18780-0, 13/21078-8, 12/23591-1)

SAN MARTIN, LUIZ A. B.; SANTOS, LAERCIO J.. Characteristic functions of semigroups in semi-simple Lie groups. FORUM MATHEMATICUM, v. 31, n. 4, p. 815-842, JUL 2019. (12/18780-0)

CARDIN, PEDRO TONIOL; TEIXEIRA, MARCO ANTONIO. A geometric singular perturbation theory approach to constrained differential equations. Mathematische Nachrichten, v. 292, n. 4, p. 892-904, APR 2019. (12/18780-0, 13/24541-0)

AYALA, VICTOR; DA SILVA, ADRIANO; SAN MARTIN, LUIZ A. B.. CONTROL SYSTEMS ON FLAG MANIFOLDS AND THEIR CHAIN CONTROL SETS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 37, n. 5, p. 2301-2313, MAY 2017. (12/18780-0, 16/11135-2, 13/19756-8)

DE REZENDE, KETTY A.; LEDESMA, GUIDO G. E.; MANZOLI-NETO, OZIRIDE; VAGO, GIOIA M.. Lyapunov graphs for circle valued functions. Topology and its Applications, v. 245, p. 62-91, AUG 15 2018. (12/18780-0)

RODRIGUES, HILDEBRANDO M.; TEIXEIRA, MARCO A.; GAMEIRO, MARCIO. On Exponential Decay and the Markus-Yamabe Conjecture in Infinite Dimensions with Applications to the Cima System. Journal of Dynamics and Differential Equations, v. 30, n. 3, p. 1199-1219, SEP 2018. (13/07460-7, 16/21032-6, 12/18780-0, 16/08704-5, 15/19165-5)

GOMIDE, OTAVIO M. L.; TEIXEIRA, MARCO A.. On structural stability of 3D Filippov systems: A semi-local approach. MATHEMATISCHE ZEITSCHRIFT, v. 294, n. 1-2, p. 419-449, FEB 2020. (15/22762-5, 12/18780-0, 16/23716-0)

BERTOLIM, MARIA A.; LIMA, DAHISY V. S.; MELLO, MARGARIDA P.; DE REZENDE, KETTY A.; DA SILVEIRA, MARIANA R.. Algebraic and dynamical cancellations associated to spectral sequence. EUROPEAN JOURNAL OF MATHEMATICS, v. 3, n. 2, p. 387-428, JUN 2017. (12/18780-0, 14/11943-6)

LLIBRE, JAUME; MEREU, ANA C.; NOVAES, DOUGLAS D.. Averaging theory for discontinuous piecewise differential systems. Journal of Differential Equations, v. 258, n. 11, p. 4007-4032, JUN 5 2015. (12/18780-0, 12/10231-7)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.. Periodic solutions of Lienard differential equations via averaging theory of order two. Anais da Academia Brasileira de Ciências, v. 87, n. 4, p. 1905-1913, DEC 2015. (12/18780-0, 15/02517-6)

GRAMA, LINO; NEGREIROS, CAIO J. C.; OLIVEIRA, AILTON R.. Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers. Annali di Matematica Pura ed Applicata, v. 196, n. 1, p. 165-200, FEB 2017. (14/17337-0, 12/18780-0)

DE REZENDE, KETTY A.; VILLAPOUCA, MARIANA G.. DISCRETE CONLEY INDEX THEORY FOR ZERO DIMENSIONAL BASIC SETS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 37, n. 3, p. 1359-1387, MAR 2017. (12/18780-0)

ANDRADE, K. DA S.; JEFFREY, M. R.; MARTINS, R. M.; TEIXEIRA, M. A.. On the Dulac's problem for piecewise analytic vector fields. Journal of Differential Equations, v. 266, n. 4, p. 2259-2273, FEB 5 2019. (13/07523-9, 18/03338-6, 12/18780-0, 15/06903-8, 14/21259-5)

BRAUN, FRANCISCO; LLIBRE, JAUME; MEREU, ANA C.. ISOCHRONICITY FOR TRIVIAL QUINTIC AND SEPTIC PLANAR POLYNOMIAL HAMILTONIAN SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 36, n. 10, p. 5245-5255, OCT 2016. (14/26149-3, 12/18780-0)

CARDIN, PEDRO T.; DA SILVA, PAULO R.; TEIXEIRA, MARCO A.. THREE TIME SCALE SINGULAR PERTURBATION PROBLEMS AND NONSMOOTH DYNAMICAL SYSTEMS. QUARTERLY OF APPLIED MATHEMATICS, v. 72, n. 4, p. 673-687, 2014. (13/21947-6, 12/18780-0)

LIMA, DAHISY V. DE S.; DE REZENDE, KETTY A.. CONNECTION MATRICES FOR MORSE-BOTT FLOWS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 44, n. 2, p. 471-495, DEC 2014. (12/18780-0, 10/08579-0)

GASPARIM, ELIZABETH; GRAMA, LINO; SAN MARTIN, LUIZ A. B.. ADJOINT ORBITS OF SEMI-SIMPLE LIE GROUPS AND LAGRANGIAN SUBMANIFOLDS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 60, n. 2, p. 361-385, MAY 2017. (14/17337-0, 12/18780-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; TEIXEIRA, MARCO A.. Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 25, n. 11, OCT 2015. (12/18780-0, 13/16492-0)

NEVES, WLADIMIR; OLIVERA, CHRISTIAN. Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, v. 22, n. 5, p. 1247-1258, OCT 2015. (13/15795-9, 12/18739-0, 12/18780-0)

AYALA, VICTOR; RIBEIRO, JR., RODOLFO; SAN MARTIN, LUIZ A. B.. CONTROLLABILITY ON SL(2, C) WITH RESTRICTED CONTROLS. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 52, n. 4, p. 2548-2567, 2014. (12/18780-0)

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, v. 418, n. 1, p. 11-30, OCT 1 2014. (10/18190-2, 12/18780-0, 12/00481-6)

MARTINS, RICARDO MIRANDA; MEREU, ANA CRISTINA; OLIVEIRA, REGILENE D. S.. An estimation for the number of limit cycles in a Lienard-like perturbation of a quadratic nonlinear center. NONLINEAR DYNAMICS, v. 79, n. 1, p. 185-194, JAN 2015. (12/18780-0, 12/06879-1)

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