Departamento de Matemática
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Schubert Derivations on the Infinite Wedge Power
(Bulletin of the Brazilian Mathematical Society, 2020) [Artigo]The Schubert derivation is a distinguished Hasse–Schmidt derivation on the exterior algebra of a free abelian group, encoding the formalism of Schubert calculus for all Grassmannians at once. The purpose of this paper is ... 
Integrated lotsizing and onedimensional cutting stock problem with usable leftovers
(Annals of Operations Research, 2020) [Artigo]This paper addresses the integration of the lotsizing problem and the onedimensional cutting stock problem with usable leftovers (LSPCSPUL). This integration aims to minimize the cost of cutting items from objects ... 
On an energydependent quantum system with solutions in terms of a class of hypergeometric paraorthogonal polynomials on the unit circle
(Mathematics, 2020) [Artigo]We study an energydependent potential related to the RosenMorse potential. We give in closedform the expression of a system of eigenfunctions of the Schrodinger operator in terms of a class of functions associated to a ... 
Trace forms of certain subfields of cyclotomic fields and applications
(Journal of Algebra Combinatorics Discrete Structures and Applications, 2020) [Artigo]In this work, we present a explicit trace forms for maximal real subfields of cyclotomic fields as tools for constructing algebraic lattices in Euclidean space with optimal center density. We also obtain a closed formula ... 
Phase portraits of the quadratic polynomial Liénard differential systems
(Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2020) [Artigo]We classify the global phase portraits in the Poincaré disc of the quadratic polynomial Liénard differential systems where (x, y) ϵR 2 are the variables and a,b,c,d,e are real parameters. 
PiecewiseSmooth Slow–Fast Systems
(Journal of Dynamical and Control Systems, 2020) [Artigo]We deal with piecewisesmooth differential systems ż= X(z) , z= (x, y) ∈ ℝ× ℝn − 1, with switching occurring in a codimension one smooth surface Σ. A regularization of X is a 1parameter family of smooth vector fields Xδ,δ ... 
Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation
(Differential Equations and Dynamical Systems, 2020) [Artigo]We consider piecewise smooth vector fields (PSVF) defined in open sets M⊆ Rn with switching manifold being a smooth surface Σ. We assume that M\ Σ contains exactly two connected regions, namely Σ + and Σ . Then, the PSVF ... 
On the dynamics of the Euler equations on so(4)
(Dynamical Systems, 2020) [Artigo]This paper deals with the Euler equations on the Lie Algebra so(4). These equations are given by a polynomial differential system in (Formula presented.). We prove that this differential system has four 3dimensional ... 
Some variants of Cauchy's mean value theorem
(International Journal of Mathematical Education in Science and Technology, 2019) [Nota]In this note, some variants of Cauchy's mean value theorem are proved. The main tools to prove these results are some elementary auxiliary functions. 
Piecewise linear systems with closed sliding polyTrajectories
(Bulletin of the Belgian Mathematical Society  Simon Stevin, 2014) [Artigo]In this paper we study piecewise linear (PWL) vector fields F(x, y) = € F+(x, y) if x ≥ 0, F(x, y) if x ≤ 0, where x = (x, y) € ℝ2, F+(x) = A+x + b+ and F(x) = Ax + b, A+ = (a+ ij ) and A = (a ij ) are (2 ×2) constant ... 
Filled Julia set of some class of Hénonlike maps
(Dynamical Systems, 2020) [Artigo]In this work we consider a class of endomorphisms of R2 defined by f (x, y) = (xy + c, x), where c ∈ R is a real number and we prove that when −1 < c < 0, the forward filled Julia set of f is the union of stable manifolds ... 
Mathematical model and solution approaches for integrated lotsizing, scheduling and cutting stock problems
(Annals Of Operations Research, 2020) [Artigo]In this paper, we address a twostage integrated lotsizing, scheduling and cutting stock problem with sequencedependent setup times and setup costs. In production stage one, a cutting machine is used to cut large objects ... 
A GENERALIZED GROBMANHARTMAN THEOREM
(Proceedings Of The American Mathematical Society, 2020) [Artigo]We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical GrobmanHartman theorem. 
Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations
(International Journal Of Bifurcation And Chaos, 2020) [Artigo]In this work, by using an algebraic criterion presented by us in an earlier paper, we determine the conditions on the parameters in order to guarantee the nonchaotic behavior for some classes of nonlinear thirdorder ... 
Gronwall's conjecture for 3webs with infinitesimal symmetries
(Communications In Analysis And Geometry, 2020) [Artigo]We study nonflat planar 3webs with infinitesimal symmetries. Using multidimensional Schwarzian derivative we give a criterion for linearization of such webs and present a projective classification thereof. Using this ... 
PERIODS OF PERIODIC HOMEOMORPHISMS OF PINCHED SURFACES WITH ONE OR TWO BRANCHING POINTS
(Houston Journal Of Mathematics, 2019) [Artigo]In this paper we characterize all the possible sets of periods of a periodic homeomorphism defined on compact connected pinched surfaces with one or two branching points. 
PHASE PORTRAITS OF BERNOULLI QUADRATIC POLYNOMIAL DIFFERENTIAL SYSTEMS
(Electronic Journal Of Differential Equations, 2020) [Artigo]In this article we study a new class of quadratic polynomial differential systems. We classify all global phase portraits in the Poincare disk of Bernoulli quadratic polynomial differential systems in R2. 
Aggregation equations with gradient potential as Radon measure and initial data in BesovMorrey spaces
(Mathematical Methods In The Applied Sciences, 2020) [Artigo]In this work, we present conditions to obtain a globalintime existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in ... 
Galois Ring GR (2(3),8) Dependent 24 x 24 SBox Design: An RGB Image Encryption Application
(Wireless Personal Communications, 2020) [Artigo]An Sbox is based on Boolean functions which are essentially the foundation of symmetric cryptographic systems. The Boolean functions are used for Sbox designing in block ciphers and exploited as nonlinear components. ... 
Existence and Uniqueness of Solutions for Abstract Neutral Differential Equations with StateDependent Delay
(Applied Mathematics And Optimization, 2020) [Artigo]We study the existence and uniqueness of mild and strict solutions for abstract neutral differential equations with statedependent delay. Some examples related to partial neutral differential equations are presented.