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Ergodic and qualitative theories of dynamical systems II

Grant number: 19/10269-3
Support Opportunities:Research Projects - Thematic Grants
Duration: August 01, 2019 - July 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Claudio Aguinaldo Buzzi
Grantee:Claudio Aguinaldo Buzzi
Host Institution: 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, Brazil
Pesquisadores principais:
Ali Messaoudi ; Paulo Ricardo da Silva
Associated researchers: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
Associated grant(s):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
Associated scholarship(s):23/06371-2 - Several Aspects of Discrete Dynamics, BP.PD
23/05469-9 - Introduction to the Qualitative Theory of Ordinary Differential Equations, BP.IC
22/10534-1 - Introduction to the qualitative theory of ordinary differential equations and applications, BP.IC
+ associated scholarships 21/01799-9 - The study of vector fields with applications at game theory, BP.DR
21/00193-0 - About the number of limit cycles that bifurcate from a linear center, BP.IC
20/06708-9 - Piecewise Holomorphic Systems and Regularization of Filippov fields around degenerated singularities and regular tangential polycycles, BP.PD
20/10386-7 - Introduction to piecewise smooth dynamical systems and applications, BP.IC
20/08906-2 - Nonlinear ordinary differential equations: a first study, BP.IC
20/04717-0 - Dynamical systems with symmetries and implicit differential equations, BP.PD
19/13040-7 - Nilpotent centers on the center manifolds, BP.DR
19/20500-4 - Abundance of transitive linear operators in infinite dimension, BP.MS - associated scholarships

Abstract

This project is a continuation of the thematic project: Ergodic and Qualitative Theories of Dynamical Systems (process 2013 / 24541-0). Our goal is to study several problems in the area of dynamical systems and their connections with other areas such as Analysis, Ergodic Theory, Number Theory, Topology among many others. The problems to be addressed are current and include the following topics: Julia sets, infinite matrix dynamics, shadowing, structural stability and ergodicity in linear dynamics, topological dynamics of the composition operator, systems with multiple scales and implicit differential equations, regularization of discontinuous foliations, singular polynomial perturbations, contact partially hyperbolic skew-products, fractal dimensions of non-uniformly expanding repellers, low-discrete KAM solutions for quasi-crystalline interaction models, structural stability, minimality and regularization of non-smooth systems, Thom-Smale program in foliated manifolds, cyclicity and the center-focus problem in three-dimensional manifolds. The main institution is UNESP - S. J. Rio Preto. The team consists of researchers with experience in doctoral supervising and leading research project teams, as well as young researchers. The team has also members from other campuses of UNESP: Ilha Solteira and Presidente Prudente, as well as other institutions of São Paulo State: UNIFESP (São José dos Campos), IME-USP, IMECC-UNICAMP, USP-Ribeirão Preto and UFABC. The project will be guided by the following actions: i) cooperation with high level researches from Brazil and other countries as France, Spain, England, USA, Austria, Chile and Uruguay; ii) participation in conferences and visits to renowned research centers; iii) publication of results in high level scientific journals; iv) training and qualification of human resources in mathematics. (AU)

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Scientific publications (78)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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.; 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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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)
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; 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)
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)

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