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
17 papers · 1 filter
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…
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…
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…
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…
Zero-Hopf bifurcation in the FitzHugh-Nagumo system
Claudio Vidal, Jaume Llibre, Rodrigo Euzebio
We characterize the values of the parameters for which a zero--Hopf equilibrium point takes place at the singular points, namely, (the origin), and in the FitzHugh-…
Periodic Solutions of the extended Duffing-Van der Pol Oscillator
Rodrigo Euzebio, Jaume Llibre
In this paper some aspects on the periodic solutions of the extended Duffing-Van der Pol oscillator are discussed. Doing different rescaling of the variables and parameters of the…
-Genericity of Symplectic Diffeomorphisms and Lower Bounds for Topological Entropy
Thiago Catalan, Vanderlei Horita
There is a -residual (Baire second class) subset of symplectic diffeomorphisms on -dimensional manifold, , such that for every non-Anosov in $\m…
On three-parameter families of Filippov systems -- the fold-saddle singularity
Tiago de Carvalho, Claudio Aguinaldo Buzzi, Marco Antonio Teixeira
This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension three fold-addle singularities of Fil…
On the spectrum of stochastic perturbations of the shift and Julia sets
E. H. El Abdalaoui, A. Messaoudi
We extend the Killeen-Taylor study in \cite{KT} by investigating in different Banach spaces () the point, continuous and residual spectra of stochastic…
Equalities, inequalities between density flow, spatial and temporal entropies of cellular automata
Pierre Tisseur
Defining the density flow of perturbations moving at a given speed for cellular automata, we establish equalities and inequalities between the measurable entropy of a cellular auto…