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Retratos de fase de uma família de sistemas cúbicos planares integráveis com duas parábolas invariantes
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2022-06-10)
In this work we present results of the qualitative theory of Ordinary Differential Equations
used in the study of planar vector fields. Then, we apply these results to determine the
global phase portrait in the Poincaré ...
Quadratic planar differential systems with algebraic limit cycles via quadratic plane Cremona maps
In this paper we study the action of planar birational transformations, also known as plane Cremona maps, on quadratic planar differential systems. We provide geometrical characterizations of when a quadratic system is ...
Dinámica de Ecuaciones Diferenciales Polinomiales y Racionales con Énfasis en Centros Hamiltonianos, Potencial Racional, Ciclos Límites y Sistemas HomogéneoDYNAMICS OF POLYNOMIAL AND RATIONAL DIFFERENTIAL EQUATION WITH EMPHASIS IN THE HAMILTONIAN CENTERS, RATIONAL POTENTIAL, LIMIT CYCLES AND HOMOGENEOUS SYSTEMSDinámica de ecuaciónes diferenciales polinomiales y racionales con énfasis en centros hamiltonianos, potencial racional, ciclos límites y sistemas homogéneodynamics of polynomial and ratiónal differential equatión with emphasis in the hamiltonian centers, ratiónal potential, limit cycles and homogeneous systems
(2018)
En esta tesis primero estudiamos la dinámica global de campos vectoriales planners en distintas situaciones: (I) el camp vectorial es polynomial homogéneo de grado cuatro; (II) el campo vectorial es dado por una función ...
Some basics of su(1,1)Introdução a su(1,1)
(Sociedade Brasileira de Física, 2004)
The geometry of quadratic polynomial differential systems with a finite and an infinite Saddle-node (A, B)
(World Scientific Publishing CompanySingapore, 2014-04)
Planar quadratic differential systems occur in many areas of applied mathematics. Although more than one thousand papers have been written on these systems, a complete understanding of this family is still missing. Classical ...