Teorias ergódica e qualitativa dos sistemas dinâmicos II

• Processo: 19/10269-3
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Data de Início da vigência: 01 de agosto de 2019
• Data de Término da vigência: 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
• Auxílio(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): 24/07448-1 - Dinâmica de Intercâmbio de Intervalos e Fractais de Rauzy, BP.MS; 24/02471-5 - Um estudo de equações diferenciais com aplicação na deflexão de vigas, BP.IC; 23/06371-2 - Vários Aspectos da Dinâmica discreta, BP.PD; + mais bolsas vinculadas 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; 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)

Publicações científicas

(98)

(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)

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)

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., 2023-07-17. (21/10198-9, 19/10269-3, 22/12123-9, 20/06708-9, 16/22310-0)

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)

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)

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)

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., 2023-03-02. (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., 2023-03-13. (19/10450-0, 16/22475-9, 19/10269-3, 21/12395-6, 17/18255-6, 17/06463-3)

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., 2022-07-11. (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, APR 2021. (19/10269-3, 17/22588-0)

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., 2022-08-25. (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., 2022-12-01. (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., 2022-12-01. (19/10269-3, 18/13481-0, 21/10606-0)

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)

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, DEC 2021. (17/08779-8, 19/10269-3, 19/00440-7)

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, JUN 2020. (19/10269-3)

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)

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., 2021-09-07. (18/19726-5, 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., 2022-06-01. (11/51509-5, 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)

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)

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., 2022-07-01. (21/10606-0, 19/10269-3, 18/16430-8)

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, DEC 2020. (19/10269-3, 19/21446-3, 18/23194-9)

MESSIAS, MARCELO; CANDIDO, MURILO R.. Analytical results on the existence of periodic orbits and canard-type invariant torus in a simple dissipative oscillator. CHAOS SOLITONS & FRACTALS, v. 182, p. 12-pg., 2024-04-11. (23/06076-0, 19/10269-3)

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., 2023-12-01. (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., 2023-12-01. (19/10269-3, 21/01799-9)

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)

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)

CARVALHO, TIAGO. Planar quartic-quadratic fold-fold singularity of Filippov systems and its bifurcation. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 134, p. 31-pg., 2024-04-17. (21/12395-6, 22/02819-6, 19/10269-3)

BELATTAR, MERYEM; CHEURFA, RACHID; BENDJEDDOU, AHMED; SANTANA, PAULO. A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles. Electronic Journal of Qualitative Theory of Differential Equations, v. N/A, n. 50, p. 13-pg., 2023-01-01. (21/01799-9, 19/10269-3)

CARVALHO, TIAGO; CUNHA, JACKSON; EUZEBIO, RODRIGO; FLORENTINO, MARCO. Dynamics of an intermittent HIV treatment using piecewise smooth vector fields with two switching manifolds. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 82, p. 6-pg., 2025-04-01. (21/12395-6, 22/02819-6, 19/10450-0, 19/10269-3)

GASULL, ARMENGOL; RONDON, GABRIEL; DA SILVA, PAULO RICARDO. On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems\ast. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, v. 23, n. 3, p. 30-pg., 2024-01-01. (20/06708-9, 22/12123-9, 23/02959-5, 19/10269-3)

MESSIAS, MARCELO; APARECIDO VERRI, JULIANO. Birth and death of a limit cycle through Hopf bifurcations in a model of HIV infection with RT treatment. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 16-pg., 2024-09-25. (19/10269-3)

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., 2021-03-15. (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., 2021-01-01. (19/10269-3, 18/22689-4, 18/16430-8, 18/13481-0)

CIRILO, PATRICIA. ERGODICITY FOR HIGHER DIMENSION CYLINDRICAL CASCADES. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 44, n. 4, p. 14-pg., 2023-11-23. (13/16553-9, 19/09045-3, 19/10269-3)

BASTOS, JEFFERSON; BUZZI, CLAUDIO; SANTANA, PAULO. On structural stability of evolutionary stable strategies. Journal of Differential Equations, v. 389, p. 38-pg., 2024-01-24. (21/01799-9, 19/10269-3)

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)

DA SILVA, PAULO R.; DE MORAES, JAIME R.. Piecewise-Smooth Slow-Fast Systems. JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, v. 27, n. 1, MAR 2020. (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., 2022-08-15. (19/10269-3)

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., 2023-03-01. (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., 2021-03-29. (18/16430-8, 19/10269-3)

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., 2023-08-01. (19/10269-3, 19/07316-0, 23/04061-6)

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, DEC 15 2021. (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., 2022-10-01. (19/10269-3, 20/06708-9, 18/13481-0)

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., 2023-02-23. (19/10269-3)

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)

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)

GASULL, ARMENGOL; SANTANA, PAULO. On a variant of Hilbert's 16th problem. Nonlinearity, v. 37, n. 12, p. 15-pg., 2024-12-02. (22/14353-1, 21/01799-9, 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., 2022-06-30. (19/10269-3, 18/19726-5)

CANDIDO, MURILO R.; NOVAES, DOUGLAS D.; VALLS, CLAUDIA. Periodic solutions and invariant torus in the Rossler system. Nonlinearity, v. 33, n. 9, SEP 2020. (19/05657-4, 19/10269-3, 18/07344-0, 18/16430-8)

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)

BUZZI, CLAUDIO A.; RODERO, ANA LIVIA; TORREGROSA, JOAN. 3-dimensional piecewise linear and quadratic vector fields with invariant spheres. Electronic Journal of Qualitative Theory of Differential Equations, v. N/A, n. 43, p. 27-pg., 2024-01-01. (19/00440-7, 17/08779-8, 21/12630-5, 19/10269-3)

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)

LLIBRE, JAUME; PEREIRA, WEBER F.; PESSOA, CLAUDIO. PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS. Electronic Journal of Differential Equations, p. 1-19, MAY 22 2020. (18/19726-5, 19/10269-3)

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., 2021-07-01. (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., 2023-10-01. (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)

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, JUN 2021. (16/00242-2, 18/05098-2, 19/10269-3)

MESSIAS, MARCELO; REINOL, ALISSON C.. The Occurrence of Zero-Hopf Bifurcation in a Generalized Sprott A System. NONLINEAR DYNAMICS OF STRUCTURES, SYSTEMS AND DEVICES, VOL I, NODYCON 2019, v. N/A, p. 9-pg., 2020-01-01. (19/10269-3)

SANTANA, PAULO. On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 14-pg., 2024-05-20. (22/14353-1, 21/01799-9, 19/10269-3)

PESSOA, CLAUDIO; RIBEIRO, RONISIO. Bifurcation of limit cycles from a periodic annulus formed by a center and two saddles in piecewise linear differential system with three zones. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 80, p. 17-pg., 2024-06-27. (19/10269-3, 23/04061-6)

GOUVEIA, MARCIO R. A.; LLIBRE, JAUME; ROBERTO, LUCI ANY. Phase Portraits of a Family of Hamiltonian Cubic Systems. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, v. N/A, p. 9-pg., 2024-04-05. (22/04040-6, 19/10269-3)

ANTUNES, A. A.; CARVALHO, T.; GOMIDE, O. M. L.. Closing Lemma for piecewise smooth vector fields with a recurrent point. NONLINEAR ANALYSIS-HYBRID SYSTEMS, v. 53, p. 9-pg., 2024-04-09. (19/10450-0, 17/18255-6, 21/12395-6, 19/10269-3, 22/02819-6)

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., 2020-01-01. (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., 2021-08-01. (19/10269-3, 19/10450-0)

DOMINGOS, WEBERTY; FERENCZI, SEBASTIEN; MESSAOUDI, ALI; VALLE, GLAUCO. Invariant measures for substitutions on countable alphabets. Ergodic Theory and Dynamical Systems, v. 44, n. 9, p. 32-pg., 2023-12-11. (19/10269-3)

LLIBRE, JAUME; NOVAES, DOUGLAS D.; VALLS, CLAUDIA. Existence of a cylinder foliated by periodic orbits in the generalized Chazy differential equation. Chaos, v. 33, n. 7, p. 17-pg., 2023-07-01. (18/13481-0, 21/10606-0, 19/10269-3, 22/09633-5)

LLIBRE, JAUME; SANTANA, PAULO. Limit cycles and chaos in planar hybrid systems. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, v. 140, p. 13-pg., 2024-10-09. (22/14353-1, 21/01799-9, 19/10269-3)

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., 2022-01-01. (18/19726-5, 19/10269-3)

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., 2020-05-22. (18/19726-5, 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., 2023-04-28. (19/10269-3, 21/10606-0, 18/13481-0, 22/09633-5)

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)

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)

PIRES, BENITO. Lyapunov function for interacting reinforced stochastic processes via Hopfield's energy function. Statistics & Probability Letters, v. 205, p. 6-pg., 2023-11-01. (19/10269-3, 22/14130-2)

PEREZ, OTAVIO HENRIQUE; DA SILVA, PAULO RICARDO. Polynomial slow-fast systems on the Poincaré-Lyapunov sphere. SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, v. N/A, p. 26-pg., 2024-06-24. (23/02959-5, 21/10198-9, 19/10269-3)

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., 2022-08-09. (18/24692-2, 19/10269-3, 16/22310-0)

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., 2022-09-28. (21/14695-7, 16/00242-2, 19/10269-3, 18/05098-2)

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)

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, APR 15 2021. (19/10269-3, 16/00242-2, 18/05098-2)

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, DEC 15 2021. (19/10269-3)

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., 2023-11-01. (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., 2023-06-01. (19/10269-3, 21/12395-6)

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., 2023-02-09. (18/19726-5, 19/10269-3, 19/13040-7)

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., 2022-12-30. (19/10269-3)

GOUVEIA, LUIZ F. S.; RONDON, GABRIEL; SILVA, PAULO R. DA. Piecewise holomorphic systems. Journal of Differential Equations, v. 332, p. 33-pg., 2022-09-25. (20/04717-0, 20/06708-9, 19/10269-3)

ALVES, FABRICIO F.; BERNARDES JR, NILSON C.; MESSAOUDI, ALI. Chain recurrence and average shadowing in dynamics. MONATSHEFTE FUR MATHEMATIK, v. 196, n. 4, SEP 2021. (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., 2022-07-01. (18/13481-0, 19/10269-3, 21/10606-0)

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, AUG 2021. (19/10269-3, 19/10450-0)

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)

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, JUN 30 2020. (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, 2021. (19/10269-3, 18/19726-5)

TONIOL CARDIN, PEDRO. Relaxation oscillation in planar discontinuous piecewise smooth fast-slow systems. Chaos, v. 32, n. 1, JAN 2022. (19/10269-3, 19/00976-4)

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)

CIRILO, PATRICIA; GOLLOBIT, BRYCE; PUJALS, ENRIQUE. Dynamics of generalized hyperbolic linear operators. ADVANCES IN MATHEMATICS, v. 387, AUG 27 2021. (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, NOV 15 2021. (18/23194-9, 19/10269-3, 19/21446-3)

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, OCT 2020. (19/10269-3)