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Resonances and subharmonic bifurcations of large amplitude periodic orbits of planar polynomial vector fields
(World Scientific Publ Co Pte Ltd, 2005-01-01)
In this work are studied periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
Resonances and subharmonic bifurcations of large amplitude periodic orbits of planar polynomial vector fields
(World Scientific Publ Co Pte Ltd, 2005-01-01)
In this work are studied periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
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 ...
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 ...
Lower bounds for the local cyclicity for families of centers
(Elsevier B.V., 2021-02-25)
In this paper, we are interested in how the local cyclicity of a family of centers depends on the parameters. This fact was pointed out in [21], to prove that there exists a family of cubic centers, labeled by C D-31(12) ...
Periodic perturbations of quadratic planar polynomial vector fields
(Academia Brasileira de Ciências, 2014)
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 ...
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 ...