O PROBLEMA DO RECONHECIMENTO EM TEORIA DE BIFURCAÇÃO

Locci, Valter

doi:10.11606/D.55.2019.tde-29112019-194547

Home

Facilities

Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2019.tde-29112019-194547

Document

Master's Dissertation

Author

Locci, Valter (Catálogo USP)

Full name

Valter Locci

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

1990-07-27

Published

São Carlos, 1990

Supervisor

Conde, Antonio (Catálogo USP)

Committee

Ruas, Maria Aparecida Soares (President)
Favaro, Luiz Antonio
Fuster, Maria Del Carmen Romero

Title in Portuguese

O PROBLEMA DO RECONHECIMENTO EM TEORIA DE BIFURCAÇÃO

Keywords in Portuguese

Não disponível

Abstract in Portuguese

Não disponível

Title in English

Not available

Keywords in English

Not available

Abstract in English

In this work we apply methods of Singularity Theory to study the Recognition Problem in Bifurcation Theory. We concentrate in bifurcation problems (h(x, λ) in the ring E_n+1 of germs of functions of n state variables and one parameter. Higher-order terms O _a(h), are caracterized by an intrinsic ideal P(h) contained in O_a(h). The main result shows that itr(M.RT(h) ⊂ P(h), characterizing P(h) in an effectively computable way. When n = 1 we show that P(h) = itr J(h).

WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.

ValterLocci_ME.pdf (3.07 Mbytes)

Publishing Date

2019-11-29

Derived works

WARNING: Learn what derived works are clicking here.