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Dynamical and algebraic analysis of planar polynomial vector fields linked to orthogonal polynomials
(Southwest Jiaotong University, 2020-08)
In the present work, our goal is to establish a study of some families of quadratic polynomial vector fields connected to orthogonal polynomials that relate, via two different points of view, the qualitative and the algebraic ...
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 ...
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 ...
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., 2014)
On the reversible quadratic polynomial vector fields on S-2
(Academic Press Inc. Elsevier B.V., 2014)
STABLE PIECEWISE POLYNOMIAL VECTOR FIELDS
(Texas State Univ, 2014)
On the computation of Darboux first integrals of a class of planar polynomial vector fields
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ∏i=1 rfi αi, where the αi's are positive real numbers and the fi's are polynomials defining curves with only one place at ...