Geometria de sistemas de controle, sistemas dinâmicos e estocásticos

• Processo: 18/13481-0
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Data de Início da vigência: 01 de outubro de 2019
• Data de Término da vigência: 30 de setembro de 2025
• 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
• Município da Instituição Sede: Campinas
• Pesquisadores principais:(Últimos): Ketty Abaroa de Rezende ; Luiz Antonio Barrera San Martin
• Pesquisadores associados: Adriano João da Silva ; Ana Cristina de Oliveira Mereu ; Caio José Colletti Negreiros ; Christian da Silva Rodrigues ; Christian Horacio Olivera ; Diego Sebastian Ledesma ; Douglas Duarte Novaes ; Eduardo Garibaldi ; Gabriel Ponce ; Iris de Oliveira Zeli ; José Régis Azevedo Varão Filho ; Lino Anderson da Silva Grama ; Mariana Rodrigues da Silveira ; Pedro Jose Catuogno ; Ricardo Miranda Martins ; Viviana Jorgelina Del Barco
• Auxílio(s) vinculado(s): 24/13683-3 - Geometria sub-riemanniana em espaços homogêneos: uma abordagem via teoria de controle., AV.EXT; 23/11422-5 - Geometria de grupos de Lie Riemannianos: formas de Killing e métricas tipo Kahler., AV.EXT
• Bolsa(s) vinculada(s): 25/14730-8 - Tópicos de Geometria Simplética com Aplicações aos Grupos de Lie quase-Abelianos, BP.IC; 24/07684-7 - Variedades Calabi-Yau não-Kähler e simetria do espelho, BP.MS; 23/04083-0 - Geometria de Sistemas de Controle, Sistemas Dinâmicos e Estocásticos (Geometria / Topologia de Espaços Homogêneos), BP.PD; + mais bolsas vinculadas 23/04851-7 - Bifurcação de variedades invariantes em sistemas diferenciais suaves e não suaves, BP.PD; 23/06922-9 - Comportamento assintótico do número de Hilbert em campos vetoriais planares polinomiais e polinomiais por partes, BP.MS; 23/07412-4 - Introdução à Geometria Simplética, BP.IC; 23/03430-8 - Condições suficientes para a realização de grafos de Lyapunov como fluxos Gutierrez-Sotomayor, BP.PD; 22/07654-5 - Conjuntos invariantes e comportamento caótico em sistemas dinâmicos suaves por partes definidos em variedades compactas de baixa dimensão, BP.DR; 22/11934-3 - Geometria de grupos de Lie Riemannianos, BP.MS; 22/09603-9 - Curvaturas Positivas, variedades exóticas e folheações riemannianas, BP.PD; 22/07208-5 - Uma introdução à teoria ergódica com aplicações em teoria dos números, BP.IC; 22/07595-9 - Métricas ad-invariantes em álgebras de Lie, BP.IC; 21/13585-3 - Métodos topológicos aplicados ao problema de existência/não-existência de métricas de Einstein em espaços homogêneos, BP.MS; 21/10606-0 - Sobre ciclos limites em espaços vetoriais lineares por partes com variedade de descontinuidade algébrica, BE.PQ; 21/07017-2 - Conjuntos invariantes para sistemas dinâmicos suaves por partes definidos em variedades compactas de dimensão 2, BP.IC; 21/02913-0 - Propriedades ergódicas e flexibilidade de expoentes para fluxos parcialmente hiperbólicos, BP.DR; 20/14232-4 - Bifurcação de toros invariantes em sistemas diferenciais via teoria da média de ordem superior, BP.DR; 20/14316-3 - Grupos de Lie de dimensão 3, BP.IC; 18/07344-0 - Conjuntos Invariantes em Sistemas Dinâmicos Diferenciais: Órbitas Periódicas, Toros Invariantes e Superfícies Algébricas., BP.PD - menos bolsas vinculadas
• Assunto(s): Sistemas de controle Grupos de Lie Sistemas dinâmicos
• Palavra(s)-Chave do Pesquisador: Grupos de Lie | Sistemas de Controle | sistemas dinâmicos | Sistemas Estocásticos | Sistemas Dinâmicos

Resumo

Este projeto temático deve primordialmente integrar grupos de pesquisa doImecc-Unicamp voltados ao estudo geométrico de fenômenos dinâmicos. As áreas envolvidas são Sistemas de Controle, Sistemas Dinâmicos, SistemasDinâmicos Estocásticos, Teoria de Lie e Geometria Diferencial, que se entrelaçam frequentemente pelo emprego de métodos semelhantes e resultados quese encadeiam. Diversas linhas de pesquisa são incluídas no projeto, que conta com 12 pesquisadores do Departamento de Matemática do Imecc e de outras Instituições do Estado de São Paulo, 36 estudantes de pós-graduação e quase70 colaboradores de Instituições brasileiras e do exterior. O presente projeto será norteado através das seguintes ações: i) investir na formação de mestres, doutores e pesquisadores, ii) continuar o processo de inserção nacionale internacional dos pesquisadores através de fluxos contínuos de professoresvisitantes de alto níve, participação em congressos com apresentação detrabalhos, visitas curtas a centros de reconhecida reputação, etc. (AU)

Publicações científicas

(73)

(As publicações científicas contidas nesta página são originárias da Web of Science ou da SciELO, cujos autores mencionaram números dos processos FAPESP concedidos a Pesquisadores Responsáveis e Beneficiários, sejam ou não autores das publicações. Sua coleta é automática e realizada diretamente naquelas bases bibliométricas)

LEDESMA, DIEGO S.. A local solution to the Navier?Stokes equations on manifolds via stochastic representation ?. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 198, SEP 2020. (15/07278-0, 18/13481-0)

NOVAES, DOUGLAS D.; VARAO, REGIS. A note on invariant measures for Filippov systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 167, MAR 2021. (18/13481-0, 17/06463-3, 16/22475-9)

CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; NOVAES, DOUGLAS D.. A new simple proof for Lum-Chua's conjecture. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 40, MAY 2021. (18/16430-8, 19/10269-3, 18/13481-0)

CANDIDO, MURILO R.; NOVAES, DOUGLAS D.. On the torus bifurcation in averaging theory. Journal of Differential Equations, v. 268, n. 8, p. 4555-4576, APR 5 2020. (18/07344-0, 19/05657-4, 18/16430-8, 18/13481-0, 19/10269-3)

CARDOSO, JOAO L.; LLIBRE, JAUME; NOVAES, DOUGLAS D.; TONON, DURVAL J.. Simultaneous occurrence of sliding and crossing limit cycles in piecewise linear planar vector fields. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 35, n. 3, FEB 2020. (18/16430-8, 18/13481-0, 19/10269-3)

CARDIN, PEDRO TONIOL; NOVAES, DOUGLAS DUARTE. Asymptotic behavior of periodic solutions in one-parameter families of Lienard equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 190, JAN 2020. (19/00976-4, 18/13481-0, 19/10269-3, 13/24541-0, 18/16430-8)

NOVAES, DOUGLAS D.; RONDON, GABRIEL. On limit cycles in regularized Filippov systems bifurcating from homoclinic-like connections to regular-tangential singularities. PHYSICA D-NONLINEAR PHENOMENA, v. 442, p. 15-pg., 2022-10-01. (19/10269-3, 20/06708-9, 18/13481-0)

CARVALHO, TIAGO; NOVAES, DOUGLAS DUARTE; GONCALVES, LUIZ FERNANDO. Sliding Shilnikov connection in Filippov-type predator-prey model. NONLINEAR DYNAMICS, v. 100, n. 3, MAY 2020. (17/00883-0, 19/10450-0, 18/16430-8, 18/13481-0, 19/10269-3)

LIMA, D. V. S.; DA SILVEIRA, M. R.; VIEIRA, E. R.. Covering action on Conley index theory. Ergodic Theory and Dynamical Systems, v. N/A, p. 33-pg., 2022-02-21. (16/24707-4, 20/11326-8, 18/13481-0)

BUZZI, CLAUDIO A.; RODERO, ANA LIVIA; TEIXEIRA, MARCO A.. Stability conditions for refractive partially integrable piecewise smooth vector fields. PHYSICA D-NONLINEAR PHENOMENA, v. 440, p. 15-pg., 2022-08-08. (18/13481-0, 19/10269-3, 19/00440-7, 17/08779-8)

BUZZI, CLAUDIO A.; EUZEBIO, RODRIGO D.; MEREU, ANA C.. Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields. Qualitative Theory of Dynamical Systems, v. 22, n. 4, p. 15-pg., 2023-12-01. (19/10269-3, 18/13481-0)

PEREIRA, PEDRO C. C. R.; NOVAES, DOUGLAS D.; CANDIDO, MURILO R.. A mechanism for detecting normally hyperbolic invariant tori in differential equations. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 177, p. 45-pg., 2023-09-01. (19/05657-4, 22/09633-5, 18/07344-0, 19/10269-3, 21/10606-0, 20/14232-4, 18/13481-0)

GRAMA, LINO; OLIVEIRA, AILTON R.. Scalar Curvatures of Invariant Almost Hermitian Structures on Flag Manifolds with Two and Three Isotropy Summands. JOURNAL OF GEOMETRIC ANALYSIS, v. 33, n. 10, p. 35-pg., 2023-10-01. (21/04065-6, 18/13481-0, 21/04003-0)

DA SILVA, GUILHERME TAVARES; MARTINS, RICARDO MIRANDA. Dynamics and stability of non-smooth dynamical systems with two switches. NONLINEAR DYNAMICS, v. 108, n. 4, p. 28-pg., 2022-04-13. (18/03338-6, 21/08031-9, 18/13481-0)

NOVAES, DOUGLAS D.; SILVA, LEANDRO A.. Lyapunov coefficients for monodromic tangential singularities in Filippov vector fields. Journal of Differential Equations, v. 300, p. 565-596, NOV 5 2021. (19/10269-3, 18/13481-0, 18/16430-8)

RODRIGUES, BRUNO A.; SAN MARTIN, LUIZ A. B.; SANTANA, ALEXANDRE J.. Controllability and semigroups of invariant control systems on Sl (n, H). Mathematics of Control, Signals, and Systems (MCSS), v. 34, n. 2, p. 12-pg., 2022-02-11. (18/13481-0)

ANDRADE, KAMILA DA S.; CESPEDES, OSCAR A. R.; CRUZ, DAYANE R.; NOVAES, DOUGLAS D.. Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve. Journal of Differential Equations, v. 287, p. 36-pg., 2021-03-29. (18/16430-8, 19/10269-3, 18/13481-0)

CASTRO, MATHEUS M.; MARTINS, RICARDO M.; NOVAES, DOUGLAS D.. Anote on Vishik's normal form. Journal of Differential Equations, v. 281, p. 442-458, APR 25 2021. (18/03338-6, 18/16430-8, 19/10269-3, 19/06873-2, 18/13481-0, 17/23692-6)

LIMA, D. V. S.; DE REZENDE, K. A.; DA SILVEIRA, M. R.. Cancellations of periodic orbits for non-singular Morse-Smale flows. Ergodic Theory and Dynamical Systems, v. N/A, p. 49-pg., 2023-05-25. (18/13481-0, 16/24707-4, 20/11326-8)

NOVAES, DOUGLAS D.; PEREIRA, PEDRO C. C. R.. Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics. MATHEMATISCHE ANNALEN, v. N/A, p. 48-pg., 2023-06-24. (19/10269-3, 18/13481-0, 20/14232-4, 22/09633-5)

CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; GARCIA-MEDINA, ELISABETH; NOVAES, DOUGLAS D.. Properties of Poincare half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems. Electronic Journal of Qualitative Theory of Differential Equations, v. N/A, n. 22, p. 18-pg., 2023-01-01. (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)

CHAVES, FELIPE EMANOEL; MELLO, LUIS FERNANDO; TEIXEIRA, MARCO ANTONIO. Generic singularities of planar reversible Filippov vector fields. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 19, n. 1, p. 34-pg., 2025-06-01. (18/13481-0, 19/07316-0)

NOVAES, DOUGLAS DUARTE; SILVA, LEANDRO A.. Unveiling the Cyclicity of Monodromic Tangential Singularities: Insights beyond the Pseudo-Hopf Bifurcation. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 24, n. 1, p. 22-pg., 2025-01-01. (19/10269-3, 22/09633-5, 18/13481-0)

CASIMIRO, JOYCE A.; MARTINS, RICARDO M.; NOVAES, DOUGLAS D.. POINCARE-HOPF THEOREM FOR FILIPPOV VECTOR FIELDS ON 2-DIMENSIONAL COMPACT MANIFOLDS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 23, n. 11, p. 27-pg., 2024-08-24. (18/03338-6, 19/10269-3, 22/09633-5, 21/08031-9, 18/13481-0, 18/25575-0, 22/01375-7)

NOVAES, DOUGLAS D.. Higher order stroboscopic averaged functions: a general relationship with Melnikov functions. Electronic Journal of Qualitative Theory of Differential Equations, n. 77, 2021. (18/16430-8, 18/13481-0, 19/10269-3)

CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; NOVAES, DOUGLAS D.. Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. Applied Mathematics Letters, v. 137, p. 8-pg., 2023-03-01. (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)

NOVAES, DOUGLAS D.. On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set. PHYSICA D-NONLINEAR PHENOMENA, v. 441, p. 15-pg., 2022-12-01. (19/10269-3, 18/13481-0, 21/10606-0)

CARVALHO, TIAGO; NOVAES, DOUGLAS D.; TONON, DURVAL J.. Sliding Mode on Tangential Sets of Filippov Systems. JOURNAL OF NONLINEAR SCIENCE, v. 34, n. 4, p. 18-pg., 2024-08-01. (21/12395-6, 18/13481-0, 19/10269-3, 22/02819-6, 22/09633-5)

ALVA, SONIA RENTERIA; MEREU, ANA C.. Crossing Limit Cycles from Discontinuous Piecewise Linear Differential Centers Separated by Two Circles. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 35, n. 08, p. 10-pg., 2025-04-26. (18/13481-0)

NOVAES, DOUGLAS D.; PEREIRA, PEDRO C. C. R.. On the periodic and antiperiodic aspects of the Floquet normal form. BULLETIN DES SCIENCES MATHEMATIQUES, v. 190, p. 13-pg., 2023-12-19. (20/14232-4, 18/13481-0, 19/10269-3, 22/09633-5)

CUNHA, MATHEUS G. C.; NOVAES, DOUGLAS D.; PONCE, GABRIEL. On the Hausdorff dimension and Cantor set structure of sliding Shilnikov invariant sets. Nonlinearity, v. 37, n. 12, p. 22-pg., 2024-12-02. (18/13481-0, 22/07762-2, 19/10269-3, 22/09633-5)

POSSOBON, RENATA; RODRIGUES, CHRISTIAN S.. Geometric properties of disintegration of measures. Ergodic Theory and Dynamical Systems, v. N/A, p. 30-pg., 2024-10-11. (18/05309-3, 20/04426-6, 18/13481-0, 19/14724-7, 16/00332-1)

CANTARINO, MARISA; DA SILVA, SIMEAO TARGINO; VARAO, REGIS. Holonomies for foliations with extreme disintegration behavior. Stochastics and Dynamics, v. 24, n. 03, p. 16-pg., 2024-07-30. (18/13481-0, 17/06463-3)

CORREA, EDER M.; GRAMA, LINO. Twisted Kähler-Einstein metrics on flag varieties. Mathematische Nachrichten, v. 297, n. 11, p. 15-pg., 2024-09-12. (21/04003-0, 22/10429-3, 18/13481-0, 21/04065-6)

GONCALVES, LUIZ FERNANDO; TEIXEIRA, MARCO ANTONIO; TONON, DURVAL JOSE. Generic singularities of relay systems. NONLINEAR DYNAMICS, v. N/A, p. 15-pg., 2024-11-23. (18/13481-0)

DE REZENDE, KETTY A.; LIMA, DAHISY V. S.; ZIGART, MURILO A. DE JESUS. Gutierrez-Sotomayor flows: isolating blocks and homotopical cancellations. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 19, n. 1, p. 53-pg., 2025-06-01. (23/03430-8, 22/16455-6, 23/17645-6, 18/13481-0)

NOVAES, DOUGLAS D.; SILVA, FRANCISCO B.. HIGHER ORDER ANALYSIS ON THE EXISTENCE OF PERIODIC SOLUTIONS IN CONTINUOUS DIFFERENTIAL EQUATIONS VIA DEGREE THEORY. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 53, n. 2, p. 15-pg., 2021-01-01. (19/10269-3, 18/22689-4, 18/16430-8, 18/13481-0)

BERTOLIM, MARIA A.; DE REZENDE, KETTY A.; MELLO, MARGARIDA P.. MINIMAL FLOW MORSIFICATION SUBJECT TO LEVEL SET CONTROL: A COMBINATORIAL APPROACH. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 65, n. 2, p. 55-pg., 2025-12-01. (22/16455-6, 18/13481-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; ZELI, IRIS O.. Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems. REVISTA MATEMATICA IBEROAMERICANA, v. 36, n. 1, p. 291-318, 2020. (18/16430-8, 19/10269-3, 18/13481-0, 13/21078-8)

NOVAES, DOUGLAS D.; SEARA, TERE M.; TEIXEIRA, MARCO A.; ZELI, IRIS O.. Study of Periodic Orbits in Periodic Perturbations of Planar Reversible Filippov Systems Having a Twofold Cycle. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 19, n. 2, p. 1343-1371, 2020. (18/13481-0, 13/21078-8, 19/10269-3)

GRAMA, LINO; SECO, LUCAS. Second Homotopy Group and Invariant Geometry of Flag Manifolds. Results in Mathematics, v. 75, n. 3, JUN 3 2020. (18/13481-0)

NOVAES, DOUGLAS D.; RONDON, GABRIEL. Smoothing of nonsmooth differential systems near regular-tangential singularities and boundary limit cycles. Nonlinearity, v. 34, n. 6, p. 4202-4263, JUN 2021. (18/16430-8, 19/10269-3, 20/06708-9, 18/13481-0)

GRAMA, LINO; OLIVEIRA, AILTON R.. Scalar Curvatures of Invariant Almost Hermitian Structures on Generalized Flag Manifolds. Symmetry Integrability and Geometry-Methods and Applications, v. 17, p. 1-30, 2021. (21/04003-0, 18/13481-0)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; RODRIGUES, CAMILA A. B.. Bifurcations from families of periodic solutions in piecewise differential systems. PHYSICA D-NONLINEAR PHENOMENA, v. 404, MAR 2020. (18/16430-8, 18/13481-0, 19/10269-3)

CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; NOVAES, DOUGLAS D.. A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness. JOURNAL OF NONLINEAR SCIENCE, v. 33, n. 5, p. 13-pg., 2023-10-01. (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)

CORREA, EDER M.; GRAMA, LINO. Lax formalism for Gelfand-Tsetlin integrable systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 170, SEP 2021. (18/13481-0)

AYALA, VICTOR; DA SILVA, ADRIANO. Central periodic points of linear systems. Journal of Differential Equations, v. 272, p. 310-329, JAN 25 2021. (18/10696-6, 18/13481-0)

LIMA, D. V. S.; RAMINELLI, S. A.; DE REZENDE, K. A.. HOMOTOPICAL CANCELLATION THEORY FOR GUTIERREZ-SOTOMAYOR SINGULAR FLOWS. JOURNAL OF SINGULARITIES, v. 23, p. 33-91, 2021. (14/11943-6, 18/13481-0, 15/10930-0, 16/24707-4)

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 S.. Stochastic calculus on Frechet spaces. ADVANCES IN OPERATOR THEORY, v. 6, n. 1, JAN 2021. (18/13481-0, 15/07278-0)

NOVAES, DOUGLAS D.; SILVA, LEANDRO A.. ON THE NON-EXISTENCE OF ISOCHRONOUS TANGENTIAL CENTERS IN FILIPPOV VECTOR FIELDS. Proceedings of the American Mathematical Society, v. 150, n. 12, p. 10-pg., 2022-07-01. (18/13481-0, 19/10269-3, 21/10606-0)

ANDRADE, KAMILA S.; GOMIDE, OTAVIO M. L.; NOVAES, DOUGLAS D.. Bifurcation diagrams of global connections in Filippov systems. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 50, p. 26-pg., 2023-11-01. (19/10269-3, 18/13481-0, 15/22762-5, 22/09633-5)

CESPEDES, OSCAR A. R.; NOVAES, DOUGLAS D.. Limit cycles bifurcating from periodic integral manifold in non-smooth differential systems. PHYSICA D-NONLINEAR PHENOMENA, v. 476, p. 8-pg., 2025-03-07. (18/13481-0)

DE REZENDE, KETTY A.; GRULHA, NIVALDO G., JR.; LIMA, DAHISY V. DE S.; ZIGART, MURILO A. J.. CONLEY INDEX THEORY FOR GUTIERREZ-SOTOMAYOR FLOWS ON SINGULAR 3-MANIFOLDS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 62, n. 1, p. 60-pg., 2023-09-01. (19/21181-0, 18/13481-0, 20/11326-8)

DA SILVA, ADRIANO; GRAMA, LINO; ROBLES, ALEJANDRO. CONTROL SETS OF ONE-INPUT LINEAR CONTROL SYSTEMS ON SOLVABLE, NONNILPOTENT 3D LIE GROUPS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 44, n. 9, p. 33-pg., 2024-03-24. (18/13481-0)

AYALA, VICTOR; DA SILVA, ADRIANO; TORREBLANCA, MARIA. Linear control systems on the homogeneous spaces of the 2D Lie group. Journal of Differential Equations, v. 314, p. 21-pg., 2022-03-25. (20/12971-4, 18/13481-0)

GRAJALES, BRIAN; GRAMA, LINO.

Invariant Einstein metrics on real flag manifolds with two or three isotropy summands

. JOURNAL OF GEOMETRY AND PHYSICS, v. 176, p. 31-pg., 2022-06-01. (21/04003-0, 18/13481-0)

CAVENAGHI, LEONARDO F.; GARCIA, CAROLINA; GRAMA, LINO; MARTIN, LUIZ A. B. SAN. Symmetric spaces as adjoint orbits and their geometries. REVISTA MATEMATICA COMPLUTENSE, v. 37, n. 3, p. 46-pg., 2024-03-21. (22/09603-9, 21/04065-6, 18/13481-0, 23/13131-8, 23/14316-1)

PESSOA, CLAUDIO; RIBEIRO, RONISIO; NOVAES, DOUGLAS; GOUVEIA, MARCIO; EUZEBIO, RODRIGO. On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one. NONLINEAR DYNAMICS, v. 111, n. 22, p. 23-pg., 2023-11-01. (22/04040-6, 18/13481-0, 19/10269-3, 23/04061-6, 22/09633-5)

GRAMA, LINO; MARTINS, RICARDO M.; PATRAO, MAURO; SECO, LUCAS; SPERANCA, LLOHANN. The projected homogeneous Ricci flow and its collapses with an application to flag manifolds. MONATSHEFTE FUR MATHEMATIK, v. 199, n. 3, p. 28-pg., 2022-09-10. (18/03338-6, 21/08031-9, 18/13481-0)

GRAMA, LINO; LIMA, KENNERSON N. S.. Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on maximal flag manifolds. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 73, p. 41-pg., 2020-12-01. (18/13481-0)

MONTUFAR, H.; DE REZENDE, K. A.. CONLEY THEORY FOR GUTIERREZ-SOTOMAYOR FIELDS. JOURNAL OF SINGULARITIES, v. 22, p. 37-pg., 2020-01-01. (18/13481-0)

BRAUN, FRANCISCO; MEREU, ANA C.. Zero-Hopf bifurcation in a 3D jerk system. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 59, JUN 2021. (18/13481-0, 17/00136-0)

GRAJALES, BRIAN; GRAMA, LINO. Equigeodesic vectors on compact homogeneous spaces with equivalent isotropy summands. Annali di Matematica Pura ed Applicata, v. 203, n. 6, p. 28-pg., 2024-05-13. (18/13481-0, 23/04083-0, 23/13131-8)

NOVAES, DOUGLAS D.. Higher order stroboscopic averaged functions: a general relationship with Melnikov functions (oct, 77, 2021). Electronic Journal of Qualitative Theory of Differential Equations, v. N/A, n. 64, p. 3-pg., 2024-01-01. (21/10606-0, 19/10269-3, 18/13481-0)

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