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A SURVEY ON THE BLOW UP TECHNIQUE

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

Author for correspondence; Partially supported by grant MTM2008-03437.

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ANTONI FERRAGUT

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

Partially supported by grants MTM2008-03437, Juan de la Cierva, 2009SGR-410 and MTM2009-14163-C02-02.

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XAVIER JARQUE

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

Partially supported by grants 2009SGR-792, MTM2006-05849 and MTM-2008-01486 Consolider (including a FEDER contribution).

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https://doi.org/10.1142/S0218127411030416Cited by:90 (Source: Crossref)

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.

Keywords:

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