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Rational first integrals of the liénard equations: The solution to the poincaré problem for the liénard equations
(2021-01-01)
Poincaré in 1891 asked about the necessary and sufficient conditions in order to characterize when a polynomial differential system in the plane has a rational first integral. Here we solve this question for the class of ...
Phase portraits of quadratic polynomial vector fields having a rational first integral of degree 3
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
In this paper, we classify all the global phase portraits of the quadratic polynomial vector fields having a rational first integral of degree 3. (C) 2008 Elsevier Ltd. All rights reserved.
Darboux integrability for polynomial vector fields invariant under action of finite group
(Qualitative Theory of Dynamical Systems, 2018)
Darboux–Jouanolou–Ghys integrability for one-dimensional foliations on toric varieties
(Bulletin des Sciences Mathématiques, 2018)
ON FOLIATIONS WITH RATIONAL FIRST INTEGRAL
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)
Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2
(Elsevier B.V., 2015-01-01)
The main goal of this paper is to study the maximum number of limit cycles that bifurcate from the period annulus of the cubic centers that have a rational first integral of degree 2 when they are perturbed inside the class ...
Organizational corruption: conceptual typology, continuum of destructiveness, and rationalization
(2022-03-11)
This thesis comprises three articles seeking to understand the multiple meanings of corruption, based on organizational theory and the Odebrecht case. The first article conducts an integrative literature review of the ...