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| Author(s): |
José Humberto Bravo Vidarte
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2014-04-04 |
| Examining board members: |
Daniel Smania Brandão;
Vítor Domingos Martins de Araújo;
Alexander Eduardo Arbieto Mendoza;
Maria José Pacífico
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| Advisor: | Daniel Smania Brandão |
| Abstract | |
Given a Geometric Lorenz Flow X on \'R POT. n+2\' of class \'C POT. k+1\'; by definition there exists a Poincaré map \'P IND. X\' of class \'C POT. k+1\'; often so-called Lorenz-type map [ABS83]. The main purpose in this dissertation is to show that under certain conditions the Lorenz-type map \'P IND.X\' can be associate to it a one-dimensional transformation \'f IND. X\' of class \'C POT. k\' (defined on an interval). This association is so-called the reduction transformation R; so we have \'RP IND. X\' = \'f IND. X\'. This association would allow us to study the dynamical properties for the original flow using techniques of one-dimensional dynamics of class \'C POT. k\' (AU) | |
| FAPESP's process: | 09/17153-9 - Perturbations o Lorenz-like flows. |
| Grantee: | Jose Humberto Bravo Vidarte |
| Support Opportunities: | Scholarships in Brazil - Doctorate |