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The center-focus problem and reversibility
(Academic Press IncSan DiegoEUA, 2001)
On the number of critical periods for planar polynomial systems
(Pergamon-Elsevier B.V. Ltd, 2008-10-01)
In this paper we get some lower bounds for the number of critical periods of families of centers which are perturbations of the linear one. We give a method which lets us prove that there are planar polynomial centers of ...
On the number of critical periods for planar polynomial systems
(Pergamon-Elsevier B.V. Ltd, 2008-10-01)
In this paper we get some lower bounds for the number of critical periods of families of centers which are perturbations of the linear one. We give a method which lets us prove that there are planar polynomial centers of ...
Reversible Hamiltonian Liapunov center theorem
(2005-02-01)
We study the existence of periodic solutions in the neighbourhood of symmetric (partially) elliptic equilibria in purely reversible Hamiltonian vector fields. These are Hamiltonian vector fields with an involutory reversing ...
Reversible Hamiltonian Liapunov center theorem
(2005-02-01)
We study the existence of periodic solutions in the neighbourhood of symmetric (partially) elliptic equilibria in purely reversible Hamiltonian vector fields. These are Hamiltonian vector fields with an involutory reversing ...
Reversibility and quasi-homogeneous normal forms of vector fields
(Pergamon-elsevier Science LtdOxfordInglaterra, 2010)
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 ...
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 ...
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.