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Darboux integrability for polynomial vector fields invariant under action of finite group
(Qualitative Theory of Dynamical Systems, 2018)
Nonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix
(2018-03-01)
In this paper, we give an algebraic criterion to determine the nonchaotic behavior for polynomial differential systems defined in ℝ3 and, using this result, we give a partial positive answer for the conjecture about the ...
On the Bäcklund and Darboux transformations for the Tzitzéica model
(Universidade Estadual Paulista (Unesp), 2012-02-27)
Consideramos dois métodos, chamados transformações de Darboux e Bäcklund, para geração de soluções solitonicas no modelo integrável de Tzitzéica. No contexto de modelos com defeitos, tratamos estas transformações e percebemos ...
On the Bäcklund and Darboux transformations for the Tzitzéica model
(Universidade Estadual Paulista (Unesp), 2012-02-27)
Consideramos dois métodos, chamados transformações de Darboux e Bäcklund, para geração de soluções solitonicas no modelo integrável de Tzitzéica. No contexto de modelos com defeitos, tratamos estas transformações e percebemos ...
Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations
(World Scientific Publ Co Pte Ltd, 2020-06-30)
In this work, by using an algebraic criterion presented by us in an earlier paper, we determine the conditions on the parameters in order to guarantee the nonchaotic behavior for some classes of nonlinear third-order ...
On the Bäcklund and Darboux transformations for the Tzitzéica model
(Universidade Estadual Paulista (UNESP), 2014)
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 ...
Fator integrante inverso e suas aplicações
(Universidade Estadual Paulista (Unesp), 2021-03-15)
Este trabalho é dedicado ao estudo do fator integrante inverso de sistemas diferenciais planares. O fator integrante inverso está principalmente relacionado à solução do problema de integrabilidade de campo de vetores ...
Integrability and Dynamics of Quadratic Three-Dimensional Differential Systems Having an Invariant Paraboloid
(2016-07-01)
Invariant algebraic surfaces are commonly observed in differential systems arising in mathematical modeling of natural phenomena. In this paper, we study the integrability and dynamics of quadratic polynomial differential ...
On the integrability and the zero-Hopf bifurcation of a Chen-Wang differential system
(SpringerDordrecht, 2015-04)
The first objective of this paper was to study the Darboux integrability of the polynomial differential system
'X PONTO' = y, 'Y PONTO' = z, 'Z PONTO' = −y − 'X POT.2' − xz + 3'Y POT.2' + a,
and the second one is to ...