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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.
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., 2014)
A class of reversible quadratic polynomial vector fields on S-2
(Academic Press Inc. Elsevier B.V., 2014)
Phase portraits of reversible linear differential systems with cubic homogeneous polynomial nonlinearities having a non-degenerate center at the origin
(2009-12-01)
In this paper we classify the global phase portraits of all reversible linear differential systems with cubic homogeneous polynomial nonlinearities defined in the plane and having a non degenerate center at the origin. The ...
ON THE SIMILARITY OF HAMILTONIAN AND REVERSIBLE VECTOR FIELDS IN 4D
(Amer Inst Mathematical SciencesSpringfieldEUA, 2011)
Invariant theory and reversible-equivariant vector fields
(ELSEVIER SCIENCE BV, 2009)
In this paper we present results for the systematic study of reversible-equivariant vector fields - namely, in the simultaneous presence of symmetries and reversing symmetries - by employing algebraic techniques from ...
Periodic orbits for a class of reversible quadratic vector field on R-3
(Elsevier B. V., 2007-11-15)
For a class of reversible quadratic vector fields on R-3 we study the periodic orbits that bifurcate from a heteroclinic loop having two singular points at infinity connected by an invariant straight line in the finite ...