Busca avançada
Ano de início
Entree

Teorias ergódica e qualitativa dos sistemas dinâmicos II

Processo: 19/10269-3
Modalidade de apoio:Auxílio à Pesquisa - Temático
Vigência: 01 de agosto de 2019 - 31 de julho de 2024
Área do conhecimento:Ciências Exatas e da Terra - Matemática - Geometria e Topologia
Pesquisador responsável:Claudio Aguinaldo Buzzi
Beneficiário:Claudio Aguinaldo Buzzi
Instituição Sede: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brasil
Pesquisadores principais:
Ali Messaoudi ; Paulo Ricardo da Silva
Pesquisadores associados:Benito Frazao Pires ; Cláudio Gomes Pessoa ; Douglas Duarte Novaes ; Eduardo Garibaldi ; Marcelo Messias ; Márcio Ricardo Alves Gouveia ; Maurício Firmino Silva Lima ; Patricia Romano Cirilo ; Pedro Toniol Cardin ; Sylvain Philippe Pierre Bonnot ; Tiago de Carvalho ; Vanderlei Minori Horita
Auxílios(s) vinculado(s):23/09466-4 - Órbitas periódicas em alguns sistemas diferenciais definidos por partes, AV.EXT
23/04949-7 - 3rd International Nonlinear Dynamics Conference (NODYCON 2023), AR.EXT
22/13362-7 - Advances in Qualitative Theory of Differential Equations 2023, AR.EXT
Bolsa(s) vinculada(s):23/06371-2 - Vários Aspectos da Dinâmica discreta, BP.PD
23/05469-9 - Introdução à Teoria Qualitativa das Equações Diferenciais Ordinárias, BP.IC
22/10534-1 - Introdução à Teoria Qualitativa das Equações Diferenciais Ordinárias e aplicações à Mecânica Newtoniana, BP.IC
+ mais bolsas vinculadas 21/01799-9 - Estudo de campos de vetores com aplicações na teoria dos jogos, BP.DR
21/00193-0 - Sobre o número de ciclos limite que bifurcam de um centro linear, BP.IC
20/06708-9 - Sistemas Holomorfos por Partes e Regularização de campos de Filippov no entorno de singularidades degeneradas e de policiclos tangenciais regulares, BP.PD
20/10386-7 - Introdução aos sistemas dinâmicos suaves por partes e aplicações, BP.IC
20/08906-2 - Equações diferenciais ordinárias não-lineares: um primeiro estudo, BP.IC
20/04717-0 - Sistemas dinâmicos com simetrias e equações diferenciais implícitas, BP.PD
19/13040-7 - Centros nilpotentes sobre variedades centrais, BP.DR
19/20500-4 - Abundância de operadores lineares transitivos em dimensão infinita, BP.MS - menos bolsas vinculadas
Assunto(s):Dinâmica  Sistemas dinâmicos  Teoria ergódica  Teoria qualitativa 
Palavra(s)-Chave do Pesquisador:dinâmica | Teoria Ergódica | Teoria Qualitativa | Sistemas dinâmicos

Resumo

Este projeto é uma continuação do projeto temático: Teorias Ergódica e Qualitativa dos Sistemas Dinâmicos (processo 2014/24541-0). O nosso objetivo é estudar vários problemas na área dos sistemas dinâmicos e suas conexões como outras áreas como Análise, Teoria Ergódica, Teoria dos Números, Topologia entre outras. Os problemas a serem abordados são atuais e envolvem os seguintes temas: conjuntos de Julia, dinâmica de matrizes infinitas, sombreamento, estabilidade estrutural e ergodicidade em dinâmica linear, dinâmica topológica do operador de composição, sistemas com múltiplas escalas e equações diferenciais implícitas, regularização de folheações descontínuas, perturbações singulares polinomiais, skew-products parcialmente hiperbólicos de contato, dimensões fractais de repulsores não-uniformemente expansores, soluções KAM fracas discretas para modelos de interações quase cristalinas, estabilidade estrutural, minimalidade e regularização de sistemas não-suaves, programa de Thom-Smale em variedades folheadas, ciclicidade e o problema centro-foco em variedades tridimensionais.A sede do projeto é a UNESP, Campus de S. J. Rio Preto. A equipe é constituída por pesquisadores com experiência na orientação de doutorados e coordenação de projetos, e também jovens pesquisadores. A equipe ainda conta com membros de outros Campi da Unesp: Ilha Solteira, Presidente Prudente; e outras instituições do estado de São Paulo: UNIFESP (São José dos Campos), IME-USP, IMECC-UNICAMP e USP-Ribeirão Preto. O projeto será orientado pelas as seguintes ações: i) intercâmbio nacional e internacional com professores visitantes de alto nível tanto de instituições brasileiras como de instituições internacionais de países como França, Espanha, Inglaterra, Estados Unidos e Uruguai; ii) participação em congressos e visitas a centros de excelência; iii) publicação dos resultados obtidos em periódicos de reconhecido mérito científico. (AU)

Matéria(s) publicada(s) na Agência FAPESP sobre o auxílio:
Matéria(s) publicada(s) em Outras Mídias (0 total):
Mais itensMenos itens
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Publicações científicas (78)
(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)
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, . (18/16430-8, 19/10269-3, 20/06708-9, 18/13481-0)
BASTOS, JEFFERSON L. R.; BUZZI, CLAUDIO A.; TORREGROSA, JOAN. ORBITALLY SYMMETRIC SYSTEMS WITH APPLICATIONS TO PLANAR CENTERS. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, v. 20, n. 10, p. 3301-3329, . (17/03352-6, 19/10269-3, 13/24541-0)
MESSIAS, MARCELO; REINOL, ALISSON DE CARVALHO. ocal-Activity and Simultaneous Zero-Hopf Bifurcations Leading to Multistability in a Memristive Circui. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 31, n. 15, . (19/10269-3)
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, . (18/16430-8, 18/13481-0, 19/10269-3)
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., . (18/13481-0, 19/10269-3, 21/10606-0)
PESSOA, CLAUDIO; QUEIROZ, LUCAS. Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem. Qualitative Theory of Dynamical Systems, v. 21, n. 4, p. 24-pg., . (19/13040-7, 19/10269-3, 18/19726-5)
CARVALHO, TIAGO; GONCALVES, 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, n. 16, p. 11-pg., . (19/10269-3)
CARVALHO, TIAGO; CRISTIANO, RONY; RODRIGUES, DIEGO S.; TONON, DURVAL J.. Global Analysis of a piecewise smooth epidemiological model of COVID-19. NONLINEAR DYNAMICS, v. 105, n. 4, . (19/10269-3, 19/10450-0)
ALVES, FABRICIO F.; BERNARDES JR, NILSON C.; MESSAOUDI, ALI. Chain recurrence and average shadowing in dynamics. MONATSHEFTE FUR MATHEMATIK, v. 196, n. 4, . (19/10269-3)
LLIBRE, JAUME; PESSOA, CLAUDIO; RIBEIRO, JARNE D.. Rational first integrals of the Liénard equations: The solution to the Poincaré problem for the Liénard equations. Anais da Academia Brasileira de Ciências, v. 93, n. 4, . (19/10269-3, 18/19726-5)
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, . (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, . (18/13481-0, 13/21078-8, 19/10269-3)
MESSIAS, MARCELO; SILVA, RAFAEL PAULINO. Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 30, n. 8, . (19/10269-3)
CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; NOVAES, DOUGLAS D.. Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 123, p. 18-pg., . (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)
GOUVEIA, LUIZ F. S.; RONDON, GABRIEL; SILVA, PAULO R. DA. Piecewise holomorphic systems. Journal of Differential Equations, v. 332, p. 33-pg., . (20/04717-0, 20/06708-9, 19/10269-3)
IBRE, JAUME; MESSIAS, MARCELO; REINOL, ALISSON DE CARVALHO. Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 30, n. 13, . (19/10269-3)
BUZZI, CLAUDIO A.; ROMANO CARVALHO, YAGOR; GASULL, ARMENGOL. Limit cycles for some families of smooth and non-smooth planar systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v. 207, . (16/00242-2, 18/05098-2, 19/10269-3)
LLIBRE, JAUME; PEREIRA, WEBER F.; PESSOA, CLAUDIO. PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS. Electronic Journal of Differential Equations, p. 1-19, . (18/19726-5, 19/10269-3)
CIRILO, PATRICIA; GOLLOBIT, BRYCE; PUJALS, ENRIQUE. Dynamics of generalized hyperbolic linear operators. ADVANCES IN MATHEMATICS, v. 387, . (19/10269-3, 19/09045-3)
BUZZI, CLAUDIO; LLIBRE, JAUME; SANTANA, PAULO. Phase portraits of (2;0) reversible vector fields with symmetrical singularities. Journal of Mathematical Analysis and Applications, v. 503, n. 2, . (18/23194-9, 19/10269-3, 19/21446-3)
BUZZI, CLAUDIO A.; CARVALHO, YAGOR ROMANO; LLIBRE, JAUME. Crossing limit cycles of planar discontinuous piecewise differential systems formed by isochronous centres. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v. 37, n. 4, p. 19-pg., . (21/14695-7, 16/00242-2, 19/10269-3, 18/05098-2)
BUZZI, CLAUDIO A.; CARVALHO, YAGOR ROMANO; GASULL, ARMENGOL. The local period function for Hamiltonian systems with applications. Journal of Differential Equations, v. 280, p. 590-617, . (19/10269-3, 16/00242-2, 18/05098-2)
PEREZ, OTAVIO HENRIQUE; DA SILVA, PAULO RICARDO. Resolution of singularities of 2-dimensional real analytic constrained differential systems. BULLETIN DES SCIENCES MATHEMATIQUES, v. 179, p. 31-pg., . (18/24692-2, 19/10269-3, 16/22310-0)
BUZZI, CLAUDIO A.; PESSOA, CLAUDIO; MEDRADO, JOAO C.. Monodromy and Dulac's problem for piecewise analytical planar vector fields. BULLETIN DES SCIENCES MATHEMATIQUES, v. 188, p. 27-pg., . (18/19726-5, 19/10269-3)
CARVALHO, TIAGO; FREITAS, BRUNO RODRIGUES. paper The local behavior around switching planes in a mathematical model to chemoimmunotherapy. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 120, p. 13-pg., . (19/10269-3, 21/12395-6)
CARVALHO, TIAGO; GONCALVES, LUIZ FERNANDO. Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori. Qualitative Theory of Dynamical Systems, v. 20, n. 2, p. 21-pg., . (19/10269-3, 19/10450-0)
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., . (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)
PESSOA, CLAUDIO; QUEIROZ, LUCAS; RIBEIRO, JARNE D.. Cyclicity of rigid centres on centre manifolds of three-dimensional systems. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. N/A, p. 13-pg., . (18/19726-5, 19/10269-3, 19/13040-7)
LLIBRE, JAUME; PEREIRA, WEBER F.; PESSOA, CLAUDIO. PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS. Electronic Journal of Differential Equations, v. N/A, p. 19-pg., . (18/19726-5, 19/10269-3)
CAPRIO, DANILO A.; MESSAOUDI, ALI; VALLE, GLAUCO. STOCHASTIC ADDING MACHINES BASED ON BRATTELI DIAGRAMS. ANNALES DE L INSTITUT FOURIER, v. 70, n. 6, p. 39-pg., . (19/10269-3, 15/26161-6)
CARVALHO, TIAGO; GONCALVES, LUIZ FERNANDO. A FLOW ON S-2 PRESENTING THE BALL AS ITS MINIMAL SET. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. 26, n. 8, p. 18-pg., . (19/10269-3, 19/10450-0)
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., . (19/10269-3, 18/13481-0, 15/22762-5, 22/09633-5)
PESSOA, CLAUDIO; RIBEIRO, RONISIO. Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones. Electronic Journal of Qualitative Theory of Differential Equations, v. N/A, n. 27, p. 19-pg., . (18/19726-5, 19/10269-3)
LLIBRE, JAUME; MESSIAS, MARCELO; REINOL, ALISSON C.. Global Dynamics and Bifurcation of Periodic Orbits in a Modified Nose-Hoover Oscillator. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 27, n. 3, . (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, . (19/00976-4, 18/13481-0, 19/10269-3, 13/24541-0, 18/16430-8)
CARMONA, VICTORIANO; FERNANDEZ-SANCHEZ, FERNANDO; NOVAES, DOUGLAS D.. A new simple proof for Lum-Chua's conjecture. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 40, . (18/16430-8, 19/10269-3, 18/13481-0)
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, . (18/16430-8, 18/13481-0, 19/10269-3)
BUZZI, CLAUDIO A.; RODERO, ANA LIVIA; TORREGROSA, JOAN. Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres. JOURNAL OF NONLINEAR SCIENCE, v. 31, n. 6, . (17/08779-8, 19/10269-3, 19/00440-7)
BUZZI, CLAUDIO; LLIBRE, JAUME; SANTANA, PAULO. Periodic orbits of a Hamiltonian system related with the Friedmann-Robertson-Walker system in rotating coordinates. PHYSICA D-NONLINEAR PHENOMENA, v. 413, . (19/10269-3, 19/21446-3, 18/23194-9)
MAHDI, ADAM; PESSOA, CLAUDIO; RIBEIRO, JARNE D.. Rigid centres on the center manifold of tridimensional differential systems. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, v. N/A, p. 23-pg., . (18/19726-5, 19/10269-3)
DA SILVA, PAULO R.; DE MORAES, JAIME R.. Piecewise-Smooth Slow-Fast Systems. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 27, n. 1, . (19/10269-3)
BERNARDES JR, NILSON C.; MESSAOUDI, ALI. A GENERALIZED GROBMAN-HARTMAN THEOREM. Proceedings of the American Mathematical Society, v. 148, n. 10, p. 4351-4360, . (17/22588-0, 19/10269-3)
ROSALES, RAFAEL A. A.; PIRES, BENITO; PRADO, FERNANDO P. A.. Vertex reinforced random walks with exponential interaction on complete graphs. Stochastic Processes and their Applications, v. 148, p. 27-pg., . (11/51509-5, 19/10269-3)
PESSOA, CLAUDIO; RIBEIRO, RONISIO. Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian Differential System with Three Zones. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 32, n. 08, p. 16-pg., . (19/10269-3, 18/19726-5)
DARJI, UDAYAN B.; PIRES, BENITO. CHAOS AND FREQUENT HYPERCYCLICITY FOR COMPOSITION OPERATORS. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 64, n. 3, p. 513-531, . (18/06916-0, 17/19360-8, 19/10269-3)
NOVAES, DOUGLAS D.. Higher order stroboscopic averaged functions: a general relationship with Melnikov functions. Electronic Journal of Qualitative Theory of Differential Equations, n. 77, . (18/16430-8, 18/13481-0, 19/10269-3)
BERNARDES, JR., NILSON C.; MESSAOUDI, ALI. hadowing and structural stability for operator. Ergodic Theory and Dynamical Systems, v. 41, n. 4, p. 961-980, . (19/10269-3, 17/22588-0)
PIRES, BENITO. A CHAOTIC DISCRETE-TIME CONTINUOUS-STATE HOPFIELD NETWORK WITH PIECEWISE-AFFINE ACTIVATION FUNCTIONS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, v. N/A, p. 9-pg., . (19/10269-3)
PESSOA, CLAUDIO; RIBEIRO, RONISIO. Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. 16, n. 2, p. 25-pg., . (19/10269-3)
MESSIAS, MARCELO; REINOL, ALISSON C.. Periodic Orbits in the Muthuswamy-Chua Simplest Chaotic Circuit. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. N/A, p. 12-pg., . (19/10269-3)
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., . (19/10269-3, 20/06708-9, 18/13481-0)
PEREZ, OTAVIO HENRIQUE; RONDON, GABRIEL; DA SILVA, PAULO RICARDO. Slow-Fast Normal Forms Arising from Piecewise Smooth Vector Fields. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. N/A, p. 18-pg., . (21/10198-9, 19/10269-3, 22/12123-9, 20/06708-9, 16/22310-0)
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., . (19/10269-3, 18/13481-0)
BRAGA, DENIS DE CARVALHO; DA FONSECA, ALEXANDER FERNANDES; MELLO, LUIS FERNANDO; RIBEIRO, RONISIO MOISES; PESSOA, CLAUDIO GOMES. Crossing Limit Cycles Bifurcating from Two or Three Period Annuli in Discontinuous Planar Piecewise Linear Hamiltonian Differential Systems with Three Zones. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 33, n. 10, p. 17-pg., . (19/10269-3, 19/07316-0, 23/04061-6)
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., . (19/05657-4, 22/09633-5, 18/07344-0, 19/10269-3, 21/10606-0, 20/14232-4, 18/13481-0)
GOUVEIA, LUIZ F. S.; DA SILVA, PAULO R. R.; RONDON, GABRIEL. Global Phase Portrait and Local Integrability of Holomorphic Systems. Qualitative Theory of Dynamical Systems, v. 22, n. 1, p. 26-pg., . (20/06708-9, 19/10269-3, 20/04717-0)
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., . (18/16430-8, 19/10269-3, 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, . (19/10269-3, 18/13481-0, 18/16430-8)
CASTRO, MATHEUS M.; MARTINS, RICARDO M.; NOVAES, DOUGLAS D.. Anote on Vishik's normal form. Journal of Differential Equations, v. 281, p. 442-458, . (18/03338-6, 18/16430-8, 19/10269-3, 19/06873-2, 18/13481-0, 17/23692-6)
CANDIDO, MURILO R.; NOVAES, DOUGLAS D.; VALLS, CLAUDIA. Periodic solutions and invariant torus in the Rossler system. Nonlinearity, v. 33, n. 9, . (19/05657-4, 19/10269-3, 18/07344-0, 18/16430-8)
CANDIDO, MURILO R.; NOVAES, DOUGLAS D.. On the torus bifurcation in averaging theory. Journal of Differential Equations, v. 268, n. 8, p. 4555-4576, . (18/07344-0, 19/05657-4, 18/16430-8, 18/13481-0, 19/10269-3)
CARVALHO, TIAGO; GONCALVES, LUIZ FERNANDO; LLIBRE, JAUME. Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 31, n. 15, . (19/10269-3)
CARVALHO, TIAGO; NOVAES, DOUGLAS DUARTE; GONCALVES, LUIZ FERNANDO. Sliding Shilnikov connection in Filippov-type predator-prey model. NONLINEAR DYNAMICS, v. 100, n. 3, . (17/00883-0, 19/10450-0, 18/16430-8, 18/13481-0, 19/10269-3)
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., . (18/13481-0, 19/10269-3, 19/00440-7, 17/08779-8)
NOVAES, DOUGLAS D.. AN AVERAGING RESULT FOR PERIODIC SOLUTIONS OF CARATHEODORY DIFFERENTIAL EQUATIONS. Proceedings of the American Mathematical Society, v. 150, n. 7, p. 10-pg., . (21/10606-0, 19/10269-3, 18/16430-8)
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., . (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., . (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)
PESSOA, CLAUDIO; QUEIROZ, LUCAS. Nilpotent centers from analytical systems on center manifolds. Journal of Mathematical Analysis and Applications, v. 525, n. 1, p. 17-pg., . (19/10269-3, 19/13040-7)
ANTUNES, ANDRE AMARAL; CARVALHO, TIAGO; VARAO, REGIS. On topological entropy of piecewise smooth vector fields. Journal of Differential Equations, v. 362, p. 22-pg., . (19/10450-0, 16/22475-9, 19/10269-3, 21/12395-6, 17/18255-6, 17/06463-3)
BASTOS, JEFFERSON L. R.; BUZZI, CLAUDIO A.; TORREGROSA, JOAN. Cyclicity Near Infinity in Piecewise Linear Vector Fields Having a Nonregular Switching Line. Qualitative Theory of Dynamical Systems, v. 22, n. 4, p. 11-pg., . (19/10269-3)
SANTANA, PAULO. Stability and Cyclicity of Polycycles in Non-smooth Planar Vector Fields. Qualitative Theory of Dynamical Systems, v. 22, n. 4, p. 33-pg., . (19/10269-3, 21/01799-9)
GOUVEIA, MARCIO; OLER, JULIANO G.. Phase Transitions for One-Dimensional Lorenz-Like Expanding Maps. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 53, n. 4, p. 24-pg., . (19/10269-3)
ANTUNES, ANDRE DO AMARAL; BUGEAUD, YANN; PIRES, BENITO. Switched Server Systems Whose Parameters are Normal Numbers in Base 4. Qualitative Theory of Dynamical Systems, v. 21, n. 4, p. 13-pg., . (19/10269-3)
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., . (19/10269-3, 18/13481-0, 21/10606-0)
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., . (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)
BASTOS, JEFFERSON L. R.; CAPRIO, DANILO A.; MESSAOUDI, ALI. Shadowing and stability in p-adic dynamics. Journal of Mathematical Analysis and Applications, v. 500, n. 2, p. 28-pg., . (19/10269-3, 13/24541-0, 15/26161-6)
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., . (19/10269-3, 18/22689-4, 18/16430-8, 18/13481-0)

Por favor, reporte erros na lista de publicações científicas utilizando este formulário.