Now showing items 1-9 of 9
The Hopf bifurcation in the Shimizu-Morioka system
(Nonlinear Dynamics, 2015-02-01) [Artigo]
We study the local Hopf bifurcations of codimension one and two, which occur in the Shimizu-Morioka system. This system is a simplified model proposed for studying the dynamics of the well-known Lorenz system for large ...
On the reversible quadratic polynomial vector fields on S-2
(Journal of Mathematical Analysis and Applications, 2012-12-15) [Artigo]
We study a class of quadratic reversible polynomial vector fields on 52 with (3, 2)-type reversibility. We classify all isolated singularities and we prove the nonexistence of limit cycles for this class. Our study provides ...
A class of reversible quadratic polynomial vector fields on S-2
(Journal of Mathematical Analysis and Applications, 2010-11-01) [Artigo]
We study a class of quadratic reversible polynomial vector fields on S-2. We classify all the centers of this class of vector fields and we characterize its global phase portrait. (C) 2010 Elsevier B.V. All rights reserved.
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
(Applied Mathematics And Computation, 2015-01-01) [Artigo]
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class ...
LIMIT CYCLES of DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
(International Journal of Bifurcation and Chaos, 2011-11-01) [Artigo]
We study the bifurcation of limit cycles from the periodic orbits of a two-dimensional (resp. four-dimensional) linear center in R(n) perturbed inside a class of discontinuous piecewise linear differential systems. Our ...
Hopf bifurcation in the full repressilator equations
(Mathematical Methods in the Applied Sciences, 2014) [Artigo]
In this paper, we prove that the full repressilator equations in dimension six undergo a supercritical Hopf bifurcation.
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(Journal of Differential Equations, 2016-04-05) [Artigo]
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
Bifurcation of limit cycles from a non-smooth perturbation of a two-dimensional isochronous cylinder
(Bulletin des Sciences Mathematiques, 2016-06-01) [Artigo]
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 to study the bifurcation of limit cycles ...
Existence and uniqueness of limit cycles for generalized phi-Laplacian Lienard equations
(Journal Of Mathematical Analysis And Applications, 2016-07-15) [Artigo]
The Lienard equation x + f (x)x' + g(x) = 0 appears as a model in many problems of science and engineering. Since the first half of the 20th century, many papers have appeared providing existence and uniqueness conditions ...