A SURVEY ON THE BLOW UP TECHNIQUE-Reference-Cited by-同舟云学术

A SURVEY ON THE BLOW UP TECHNIQUE

Published:2011-11 Issue:11 Volume:21 Page:3103-3118
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ÁLVAREZ MARÍA JESÚS¹,FERRAGUT ANTONI²,JARQUE XAVIER³

Affiliation:

1. Departament de Matemàtiques i Informàtica, Universitat de les Illes Balears, Crtra. Valldemossa, km 7.5, 07122 Palma, Spain

2. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Av. Diagonal, 647, 08028 Barcelona, Catalunya, Spain

3. Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Av. Països Catalans, 26, 43007 Tarragona, Catalunya, Spain

Abstract

The blow up technique is widely used in desingularization of degenerate singular points of planar vector fields. In this survey, we give an overview of the different types of blow up and we illustrate them with many examples for better understanding. Moreover, we introduce a new generalization of the classical blow up.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127411030416

Reference14 articles.

1. Local behavior of planar analytic vector fields via integrability

2. The singularity xt6∂y

3. Topological equivalence of a plane vector field with its principal part defined through Newton Polyhedra

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