Search Results - "Mello, Luis Fernando"
-
1
Do isotropic tidal forces imply isotropic cosmic expansion?
Published in The European physical journal. C, Particles and fields (01-03-2023)“…We investigate the dynamics of the spatially flat universes submitted to isotropic tidal forces and adiabatic expansion under Einstein’s equations…”
Get full text
Journal Article -
2
Control of planar Bautin bifurcation
Published in Nonlinear dynamics (01-12-2010)“…On a versal deformation of the Bautin bifurcation it is possible to find dynamical systems that undergo Hopf or non-hyperbolic limit cycle bifurcations. Our…”
Get full text
Journal Article -
3
Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones
Published in Dynamical systems (London, England) (02-10-2022)“…We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical…”
Get full text
Journal Article -
4
Modeling dynamics and alternative treatment strategies in acute promyelocytic leukemia
Published in PloS one (15-08-2019)“…Acute Promyelocytic Leukemia (APL) is a rare and potentially lethal condition in which risk-based therapy often leads to better outcomes. Because of its rarity…”
Get full text
Journal Article -
5
New central configurations of the (n+1)-body problem
Published in Journal of geometry and physics (01-01-2018)“…In this article we study central configurations of the (n+1)-body problem. For the planar (n+1)-body problem we study central configurations performed by n≥2…”
Get full text
Journal Article -
6
Arbitrary number of limit cycles for planar discontinuous piecewise linear differential systems with two zones
Published in Electronic journal of differential equations (02-09-2015)“…For any given positive integer $n$ we show the existence of a class of discontinuous piecewise linear differential systems with two zones in the plane having…”
Get full text
Journal Article -
7
New stacked central configurations for the planar 5-body problem
Published in Celestial mechanics and dynamical astronomy (01-05-2011)“…A stacked central configuration in the n -body problem is one that has a proper subset of the n -bodies forming a central configuration. In this paper we study…”
Get full text
Journal Article -
8
Hopf bifurcations and small amplitude limit cycles in Rucklidge systems
Published in Electronic journal of differential equations (12-02-2013)“…In this article we study Hopf bifurcations and small amplitude limit cycles in a family of quadratic systems in the three dimensional space called Rucklidge…”
Get full text
Journal Article -
9
New classes of spatial central configurations for the 7-body problem
Published in Anais da Academia Brasileira de Ciências (01-03-2014)“…In this paper we show the existence of new families of spatial central configurations for the 7-body problem. In the studied spatial central configurations,…”
Get full text
Journal Article -
10
Controllable Hopf bifurcations of codimension 1 and 2 in nonlinear control systems
Published in Nonlinear analysis (01-06-2011)“…The purpose of this work, given a nonlinear control system, is to design a four-parameter family of static state feedback such that the corresponding…”
Get full text
Journal Article -
11
Analysis of a quadratic system obtained from a scalar third order differential equation
Published in Electronic journal of differential equations (10-11-2010)“…In this article, we study the nonlinear dynamics of a quadratic system in the three dimensional space which can be obtained from a scalar third order…”
Get full text
Journal Article -
12
Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited
Published in Abstract and Applied Analysis (01-01-2013)“…The main goal of this paper is to present a theory of approximation of periodic orbits of vector fields in the plane. From the theory developed here, it is…”
Get full text
Journal Article -
13
The matching of two Markus-Yamabe piecewise smooth systems in the plane
Published in Nonlinear analysis: real world applications (01-04-2025)“…A Markus-Yamabe vector field is a smooth vector field in Rn having only one equilibrium point and such that the spectrum of its Jacobian matrix at any point of…”
Get full text
Journal Article -
14
Kukles Systems of Degree Three with Global Centers
Published in Boletim da Sociedade Brasileira de Matemática (01-12-2023)“…A global center of a vector field in the plane is an equilibrium point such that the whole plane with the exception of the equilibrium point is filled with…”
Get full text
Journal Article -
15
Convex Central Configurations of the 4-Body Problem with Two Pairs of Equal Adjacent Masses
Published in Archive for rational mechanics and analysis (01-10-2017)“…We study the convex central configurations of the 4-body problem assuming that they have two pairs of equal masses located at two adjacent vertices of a convex…”
Get full text
Journal Article -
16
Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
Published in Nonlinear dynamics (01-08-2013)“…In this paper we study the existence of limit cycles in a one-parameter family of discontinuous piecewise linear differential systems with two zones in the…”
Get full text
Journal Article -
17
Polynomial Vector Fields on Algebraic Surfaces of Revolution
Published in Resultate der Mathematik (01-03-2021)“…In the first part of the article we study polynomial vector fields of arbitrary degree in R 3 having an algebraic surface of revolution invariant by their…”
Get full text
Journal Article -
18
Globally Asymptotically Stable Equilibrium Points in Kukles Systems
Published in Qualitative theory of dynamical systems (01-12-2020)“…The problem of determining the basin of attraction of equilibrium points is of great importance for applications of stability theory. In this article, we…”
Get full text
Journal Article -
19
Global Phase Portraits of Ordinary Differential Equations Modeling the Acute Promyelocytic Leukemia
Published in Differential equations and dynamical systems (29-06-2023)Get full text
Journal Article -
20
Exemplos de configurações centrais planares encaixantes
Published in Revista brasileira de ensino de física“…Neste artigo estudamos configurações centrais planares encaixantes para o problema de n corpos em mecânica celeste quando n = 4, n = 8 e n = 12. Determinamos…”
Get full text
Journal Article