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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2024.tde-25032024-102433
Document
Author
Full name
Tiago Suzuki Tokuda
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2024
Supervisor
Committee
Fernandes, Marco Antônio do Couto (President)
Costa, João Carlos Ferreira
Dias, Fábio Scalco
Nabarro, Ana Claudia
Title in Portuguese
Bifurcações geométricas de singularidades de curvas planas
Keywords in Portuguese
Bifurcações
Curvas planas
Deformações geométricas
Inflexões Vértices
Abstract in Portuguese
O estudo das singularidades de curvas planas (reais para o nosso caso) é um assunto clássico. O plano pode ser dotado de uma métrica, por exemplo a métrica euclidiana ou Minkowski. Assim, ao deformar a curva, é de se esperar que a geometria concentrada na singularidade (os vértices, inflexões, bitangencias, auto-interseções, pontos tipo luz no caso de curvas no plano Minkowski) aparecem na curva deformada. O nosso trabalho apresenta um estudo de tais deformações.
Title in English
Geometric bifurcations of singularities of plane curves
Keywords in English
Bifurcations
Geometric deformations
Inflections Vertices.
Plane curves
Abstract in English
The study of singularities of planar curves (real in our case) is a classical subject. The plane can be equipped with a metric, such as the Euclidean or Minkowski metric. Thus, when deforming the curve, it is expected that the geometry concentrated at the singularity (the vertices, inflections, bitangencies, self-intersections, light-like points in the case of curves in Minkowski space) will appear in the deformed curve. Our work presents a study of such deformations
 
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Publishing Date
2024-03-25
 
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