Full text
| |
| Author(s): |
Alex Carlucci Rezende
Total Authors: 1
|
| Document type: | Master's Dissertation |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2011-03-17 |
| Examining board members: |
Regilene Delazari dos Santos Oliveira;
Luis Fernando de Osório Mello;
Marco Antonio Teixeira
|
| Advisor: | Regilene Delazari dos Santos Oliveira |
| Abstract | |
One of the most investigated problems in the qualitative theory of dynamical systems in the plane is the XVI Hilberts problem which deals with limit cycles. More precisely, the second part of the problem asks about the maximum number of limit cycles of a polynomial differential system of degree n. A limit cycle is a single closed orbit on the set of all periodic orbits of a differential planar system. A classic way to obtain a limit cycle is perturbing a system with a singularity of center type.In this work we discuss about two methods used to investigate the number of limit cycles which bifurcate from a center; they are known as Abelian integrals and averaging theory (AU) | |
| FAPESP's process: | 09/02989-4 - On limit cycles that bifurcates from a center in a planar polynomial system. |
| Grantee: | Alex Carlucci Rezende |
| Support Opportunities: | Scholarships in Brazil - Master |