- Research Grants
graduation at Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2011) and master's at Matematica Aplicada e Computacional from Universidade Estadual Paulista Júlio de Mesquita Filho (2014). Has experience in Mathematics, acting on the following subjects: compactificação de poincare, sistemas quadráticos, invariant algebraic surfaces, campos vetoriais polinomiais and disco de poincaré. (Source: Lattes Curriculum)
With the present research project we propose the global analysis of polynomial differential systems defined on the space R3, which has a quadric as an invariant surface. The global analysis proposed consists basicaly in three steps: 1) determination of the quadratic vector fields which has a quadric as an invariant algebraic surfaces; 2) Poincaré compactification of the systems, which e...
We propose the study of the main local and global techniques used in the analysis of planar polynomial vector fields: qualitative theory and bifurcation analysis (codimension 1 and 2); normal forms; desingularization techniques (blow-ups); Poincaré and Poincaré-Lyapunov compactification; drawn the global phase portrait of planar polynomial vector fields in the Poincaré sphere. We also p...
The number of invariant straight lines that a polinomial differential system defined in R2 can have, as a function of its degree, and the realization of this number, were studied by several authors. However, with relation to the polynomial differential systems defined in R3, until now it was studied only the maximum number of invariant planes which this systems can have, but not is know...
We propose the study of certain techniques of integrability of planar polynomial vector fields, in the context of Darboux Integrability Theory. To apply these techniques in the global analysis of phase portraits of quadratic and cubic vector fields having certain types of invariant algebraic curves (parabolas, elipses, hyperbolas, and other). In particular, we intend to prove the existe...
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
|Data from Web of Science|
(References retrieved automatically from State of São Paulo Research Institutions)
REINOL, Alisson de Carvalho. Análise global de sistemas quadráticos e cúbicos com duas circunferências não-concêntricas invariantes. 78 f. Dissertação (Mestrado) - Universidade Estadual Paulista "Júlio de Mesquita Filho" Faculdade de Ciências e Tecnologia. (11/16154-1)
REINOL, Alisson de Carvalho. Integrabilidade e dinâmica global de sistema diferenciais polinomiais definidos em R³ com superfícies algébricas invariantes de graus 1 e 2. 125 f. Tese (Doutorado) - Universidade Estadual Paulista "Júlio de Mesquita Filho" Instituto de Biociências, Letras e Ciências Exatas. (13/26602-7)