595 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Universidade Estadual Paulista (Unesp)BR49 papers
- Faculdade de Tecnologia de São Paulo8 papers
- São Paulo State Technological CollegeBR7 papers
- Universitat Autònoma de BarcelonaES6 papers
- University of Wisconsin–MadisonUS5 papers
- Universidade Estadual de Campinas (UNICAMP)BR4 papers
- Universidad de GranadaES3 papers
- Universidade de São PauloBR3 papers
- Universidade Federal do Rio de JaneiroBR3 papers
- Universidade Federal do Triângulo MineiroBR3 papers
- Babeș-Bolyai UniversityRO2 papers
- Centro Paula SouzaBR2 papers
51 papers
Evolutionary Stable Strategies and Cubic Vector Fields
Jefferson Bastos, Claudio Buzzi, Paulo Santana
The introduction of concepts of Game Theory and Ordinary Differential Equations into Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology…
Stability and cyclicity of polycycles in non-smooth planar vector fields
Paulo Santana
In this paper we extend three results about polycycles (also known as graphs) of planar smooth vector field to planar non-smooth vector fields (also known as piecewise vector field…
Limit Cycles Bifurcating from a Periodic Annulus in Discontinuous Planar Piecewise Linear Hamiltonian differential System with Three Zones
Claudio Pessoa, Ronisio Ribeiro
In this paper, we study the number of limit cycles that can bifurcating from a periodic annulus in discontinuous planar piecewise linear Hamiltonian differential system with three…
Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold
Jéfferson L. R. Bastos, Claudio A. Buzzi, Jaume Llibre +1
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert num…
Sliding Shilnikov Connection in Filippov-type Predator-Prey Model
Tiago de Carvalho, Douglas Duarte Novaes, Luiz Fernando Gonçalves
Recently, a piecewise smooth differential system was derived as a model of a 1 predator-2 prey interaction where the predator feeds adaptively on its preferred prey and an alternat…
Slow--fast systems and sliding on codimension 2 switching manifolds
Paulo Ricardo da Silva, Willian Pereira Nunes
In this work we consider piecewise smooth vector fields defined in , where is a self-intersecting switching manifold. A double regularization of is a 2…
Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space
Luciana F. Martins, Kentaro Saji, Keisuke Teramoto
We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.
A singular variety associated to the smallest degree Pinchuk map
Nguyen Thi Bich Thuy
We describe a singular variety associated to the smallest degree Pinchuk map and calculate its intersection homology. The result describes the geometry at infinity of the Pinchuk's…
Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation
Paulo Ricardo da Silva, Ingrid Sofia Meza-Sarmiento, Douglas Duarte Novaes
We consider piecewise smooth vector fields (PSVF) defined in open sets with switching manifold being a smooth surface . The PSVF are given by pairs $X = (X_+, X…
Christoffel formula for kernel polynomials on the unit circle
Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, A. Sri Ranga +1
Given a nontrivial positive measure on the unit circle, the associated Christoffel-Darboux kernels are , $n \geq…
Consistent Approximations to Impulsive Optimal Control Problems
Daniella Porto, Geraldo Nunes Silva, Heloísa Helena Marino Silva
We analyse the theory of consistent approximations given by Polak and we use it in an impulsive optimal control problem. We reparametrize the original system and build consistent a…
On Plücker Equations Characterizing Grassmann Cones
Letterio Gatto, Parham Salehyan
Polynomial solutions to the KP hierarchy are known to be parametrized by a cone over an infinite-dimensional Grassmann variety. Using the notion of Schubert derivation on a Grassma…
Orthogonal Polynomials Associated with Complementary Chain Sequences
Kiran Kumar Behera, A. Sriranga, A. Swaminathan
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using…
Approximate solution for Fokker-Planck equation
M. T. Araujo, E. Drigo Filho
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schrödinger type equatio…
Reply to comment on "Quantum Confinement in Hydrogen Bond"
Carlos da Silva dos Santos, Elso Drigo Filho, Regina Maria Ricotta
We reply to the comments on our paper "Quantum Confinement in Hydrogen Bond" (Int. J. Quantum Chem. 115 (2015) 765 DOI: 10.1002/qua.24894) made by Matthias Heger and Martin A. Suhm…
Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure
A. Martinez-Finkelshtein, A. Sri Ranga, Daniel O. Veronese
Given a non-trivial Borel measure on the unit circle , the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at consti…
On a singular variety associated to a polynomial mapping from $\C^n$ to $\C^{n-1}$
Nguyen Thi Bich Thuy, Maria Aparecida Soares Ruas
We construct a singular variety associated to a polynomial mapping $G : \C^{n} \to \C^{n - 1}$ where . We prove that in the case $G : \C^{3} \to \C^{2}$…
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
Rodrigo D. Euzébio, Jaume Llibre
In this paper we study the maximum number of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More…
Radii of starlikeness and convexity of some -Bessel functions
Árpád Baricz, Dimitar K. Dimitrov, István Mező
Geometric properties of the Jackson and Hahn-Exton -Bessel functions are studied. For each of them, three different normalizations are applied in such a way that the resulting f…
Radii of starlikeness of some special functions
Árpád Baricz, Dimitar K. Dimitrov, Halit Orhan +1
Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way t…
Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas
Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan
When a nontrivial measure on the unit circle satisfies the symmetry then the associated OPUC, say , are all real. In this case, Delsarte a…
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
Claudio A. Buzzi, Rodrigo D. Euzebio, Ana C. Mereu
Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is…
Chaotic Planar Piecewise Smooth Vector Fields With Non Trivial Minimal Sets
Claudio Buzzi, Tiago de Carvalho, Rodrigo Euzebio
In this paper some aspects on chaotic behavior and minimality in planar piecewise smooth vector fields theory are treated. The occurrence of non-deterministic chaos is observed and…
Zero-Hopf bifurcation in a Chua system
Jaume Llibre, Rodrigo Euzebio
A zero-Hopf equilibrium is an isolated equilibrium point whose eigenvalues are and . In general for a such equilibrium there is no theory for knowing when from it…