Continuation of abstract Lyapunov graphs and the maximal number of Betti number va...
| Grant number: | 13/12359-3 |
| Support Opportunities: | Regular Research Grants |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Benito Frazao Pires |
| Grantee: | Benito Frazao Pires |
| Host Institution: | Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil |
Abstract
The main objective of this project is to make contributions to the understanding of the dynamics of injective interval maps with a finite number of discontinuities, restricting the study to two classes of such transformations: the contractions of n intervals and the interval exchange transformations with flips. In addition, the project also addresses conditions for injectivity of planar maps and the asymptotic stability of planar vector fields. (AU)
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