PERTURBAÇÃO DE ÓRBITAS HOMOCLÍNICAS SIMÉTRICAS EM EQUAÇÕES DE SEGUNDA ORDEM

Bena, Maria Aparecida

doi:10.11606/D.55.2019.tde-01112019-152419

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Master's Dissertation

DOI

https://doi.org/10.11606/D.55.2019.tde-01112019-152419

Document

Master's Dissertation

Author

Bena, Maria Aparecida (Catálogo USP)

Full name

Maria Aparecida Bena

Institute/School/College

Instituto de Ciências Matemáticas e de Computação

Knowledge Area

Mathematics

Date of Defense

1985-07-12

Published

São Carlos, 1985

Supervisor

Bergamasco, Adalberto Panobianco (Catálogo USP)

Committee

Spezamiglio, Adalberto (President)
Avellar, Cerino Ewerton de
Ladeira, Luiz Augusto da Costa

Title in Portuguese

PERTURBAÇÃO DE ÓRBITAS HOMOCLÍNICAS SIMÉTRICAS EM EQUAÇÕES DE SEGUNDA ORDEM

Keywords in Portuguese

Não disponível

Abstract in Portuguese

Não disponível

Title in English

Not available

Keywords in English

Not available

Abstract in English

For λ, μ small, the equation x + g(x) = -λx + μf(t) is considered near a separatrix S of the unperturbed equation λ = μ = 0. We assume that S is composite of two symmetric loops, eachone being a homoclinic orbit having zero as α-and w-limit sets. A complete description is given of the bifurcation curves in (λ, μ) - space to homoclinic points in à neighborhood of S.

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MariaAparecidaBena_ME.pdf (2.31 Mbytes)

Publishing Date

2019-11-01

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