Buscar
Mostrando ítems 1-10 de 15
A class of reversible quadratic polynomial vector fields on S-2
(Academic Press Inc. Elsevier B.V., 2010-11-01)
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.
On the reversible quadratic polynomial vector fields on S-2
(Academic Press Inc. Elsevier B.V., 2012-12-15)
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 ...
STABLE PIECEWISE POLYNOMIAL VECTOR FIELDS
(Texas State Univ, 2012-09-22)
Let N = {y > 0} and S = {y < 0} be the semi-planes of R-2 having as common boundary the line D = {y = 0}. Let X and Y be polynomial vector fields defined in N and S, respectively, leading to a discontinuous piecewise ...
Periodic perturbations of quadratic planar polynomial vector fields
(Academia Brasileira de Ciências, 2002-06-01)
Neste trabalho são estudadas perturbações periódicas, dependendo de dois parâmetros, de campos vetoriais polinomiais planares que possuem um ciclo heteroclínico infinito, que consiste de uma solução ilimitada, que conecta ...
Bifurcation of limit cycles from a centre in R-4 in resonance 1:N
(Taylor & Francis Ltd, 2009-01-01)
For every positive integer N >= 2 we consider the linear differential centre (x) over dot = Ax in R-4 with eigenvalues +/- i and +/- Ni. We perturb this linear centre inside the class of all polynomial differential systems ...
Darboux integrability for polynomial vector fields invariant under action of finite group
(Qualitative Theory of Dynamical Systems, 2018)
Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems
(Gauthier-villars/editions Elsevier, 2012-06-01)
This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is ...