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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2000.tde-26112001-170325
Document
Author
Full name
German Jesus Lozada Cruz
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2000
Supervisor
Committee
Oliveira, Luiz Augusto Fernandes de (President)
Carvalho, Alexandre Nolasco de
Oliva Filho, Sergio Muniz
Title in Portuguese
Existência de soluções periódicas em alguns problemas não-lineares.
Keywords in Portuguese
atractor
orbita periodica
semigrupo linear
Abstract in Portuguese
O propósito deste trabalho é estudar a existência de solução periódica para problemas de oscilação não linear de barras submetidas a forças periódicas. Estudaremos concretamente dois problemas, que serão interpretados como equações diferenciais abstratas de segunda ordem cuja classe foi considerada em Ceron e Lopes [1]. Para garantir a existência de solução periódica dos problemas considerados, mostraremos que a aplicação de Poincaré S é limitada dissipativa e alfa-contração. Isso garante a existência de um atrator invariante compacto e a existência de um ponto fixo de S, o que é equivalente a existência da solução periódica.
Title in English
Existence of periodic solutions on some nonlinear problems.
Keywords in English
attractor
linear semigroup
periodic orbit
Abstract in English
Our aim in this work is to study the existence of periodic solution to oscillation in nonlinear problems of beams submitted to periodic forcing. We will study concretely two problems, which can be interpreted as an abstract second order diferential equation studied by Ceron and Lopes [1]. Our intention is to prove the existence of periodic solution to these problems. To this end, we will show that the Poincaré map S is uniform ultimately bounded and alpha-contraction. Thus we have the existence of invariant compact attractor, therefore S have a fixed point, which is equivalent the existence of a periodic solution.
 
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TeseGerman.pdf (380.39 Kbytes)
Publishing Date
2001-12-18
 
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