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Smooth linearization of hiperbolic fixed points.

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Author(s):
José Humberto Bravo Vidarte
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:
Examining board members:
Daniel Smania Brandão; Vanderlei Minori Horita; Ali Tahzibi
Advisor: Daniel Smania Brandão
Abstract

This work has the objetive of building smooth conjugations of hyperbolic fixed points with non-resonance conditions. So, first we present some basics of Banach spaces and some results of ordinary differential equations in Banach spaces and dynamical systems, we present the theorem of Hartman Grobman as original motivation for linearization . We also present several examples as motivation to study the Sternberg theorem for hyperbolic contractions, as main result studied in this dissertation (AU)

FAPESP's process: 08/02321-0 - Smooth linearization of hyperbolic fixed points
Grantee:Jose Humberto Bravo Vidarte
Support Opportunities: Scholarships in Brazil - Master