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| Author(s): |
Camila Aparecida Benedito Rodrigues
Total Authors: 1
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| 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: | 2015-02-20 |
| Examining board members: |
Regilene Delazari dos Santos Oliveira;
Carlos Alberto Maquera Apaza;
Ana Cristina de Oliveira Mereu;
Marco Antonio Teixeira
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| 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 Hilbert\'s problem which asks for the maximum number and position of limity cycles for all planar polynomial differential systems of degree n. On the other hand, recently piecewise continuous differential systems have attracting the interest of many researches specially because of their close relation with other sciences for instance physics, biology, economy and engineering. These relations motivate extensions of the qualitative tools for this class of systems. In this work we present a generalization of the averaging theory for a class of Filippov systems, namely piecewise continuous differential systems, developed by Llibre-Novaes-Teixeira and, we apply this theory to a particular class of differential systems, which we nominate generalized Kukles type. (AU) | |
| FAPESP's process: | 12/22000-0 - Averaging method for Filippov systems |
| Grantee: | Camila Aparecida Benedito Rodrigues de Lima |
| Support Opportunities: | Scholarships in Brazil - Master |