Bifurcation of invariant tori of differential systems via higher order averaging t...
Topological methods in the study of periodic solutions of non-smooth differential ...
Grant number: | 15/24841-0 |
Support type: | Scholarships abroad - Research Internship - Post-doctor |
Effective date (Start): | February 01, 2016 |
Effective date (End): | April 30, 2016 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal researcher: | Marco Antônio Teixeira |
Grantee: | Douglas Duarte Novaes |
Supervisor abroad: | Jaume Llibre Salo |
Home Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Research place: | Universitat Autònoma de Barcelona (UAB), Spain |
Associated to the scholarship: | 15/02517-6 - Study of minimal sets in nonsmooth dynamical systems, BP.PD |
Abstract In order to understand the dynamics of a differential system, it is an imperative matter to establish conditions for the existence of invariant sets, such as periodic orbits. The problem of bifurcation of periodic solutions in differential systems can be often reduced to the problem of persistence of zeros of a certain function. So in this project we shall use the Lyapunov-Schmidt reduction to develop higher order bifurcation functions to control the persistence of zeros of some perturbed functions. | |
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