Português
LUCAS QUEIROZ ARAKAKI
larakaki@unicamp.br
Are you LUCAS QUEIROZ ARAKAKI? click here to update the informationExact and Earth Sciences
Averaging theory, Limit cycles, Polycycles, Center Problem, Center Manifold, Inverse Jacobi Multipliers, Integrability
In this project, we tackle two problems concerning invariant tori for three-dimensional vector fields. The first one investigates the existence of invariant tori for vector fields having a 0-nilpotent singular point, i.e. vector fields whose linear term is y∂x. We propose the study of the invariant tori bifurcation for these vector fields using the Averaging theory to identify a Neimark-Sacker bifurcation at the associated return map, and importing some techniques from the study of nilpotent singular points to classify the tori in their regularity and stability. The second one consists in dealing with a broader problem: the asymptotic growth of the number N(m) of invariant tori with respect to the degree m of a polynomial three-dimensional differential system.
| Portuguese | Comprehends Well , Speaks Well , Reads Well , Writes Well |
| English | Comprehends Well , Speaks Well , Reads Well , Writes Well |
| French | Comprehends Well , Speaks Reasonably , Reads Well , Writes Reasonably |
| Spanish | Comprehends Well , Speaks Little , Reads Well , Writes Reasonably |
| Catalan | Comprehends Well , Speaks Well , Reads Well , Writes Well |
FAPESP support in numbers
| 3 | 1 | 1 | 5 | 5 |
|---|---|---|---|---|
| Completed scholarships in the country | Ongoing abroad scholarships | Completed abroad scholarships | All scholarships | All scholarships |
