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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.1997.tde-20210729-014708
Document
Author
Full name
Paulo Ricardo da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1997
Supervisor
Title in Portuguese
Ciclos Canard e bifurcação homoclínica em uma família a 3 parâmetros de campos de vetores no plano
Keywords in Portuguese
Geometria Diferencial
Abstract in Portuguese
Neste trabalho consideramos a família a 3-parâmetros de campos de vetores no plano dada por { n'=y y'= 'x IND.2' + 'mü' +Y('nü' IND.o'+ 'nü' IND.1x + 'x POT.3' (C) com (x, y, 'mü', 'nü' IND.o', 'nü' IND.1') 'PERTENCE A'R POT.2'x 'R POT.3'[DRS 1]. Provamos que se 'mü'SETA'- 'INFINITO' então (C) é 'C GRAUS'-equivalente a (D) para 'épsilon' > 0, 'épsilon' 0, b, c, 'PERTENCE A' R. { x'= y - (bx + 'cx POT.2' - '4x POT.3' + 'x POT.4') y'= 'épsilon'('x POT.2' - 2x) (D). Provamos queocorre uma Bifurcação de Hopf de codimensão 2. Estudamos o Fenômeno Canard e a Bifurcação Homoclínica na família (D). Provamos que quando 'épsilon' 0, b = 0 e c = 12 os ciclos criados apresentam um pequeno diâmetro e mudam para um grandediâmetro rapidamente num sentido a ser esclarecido aqui
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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