Singular foliations and differential -forms
Airton S. De Medeiros (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Airton S. De Medeiros (2000)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Amadeu Delshams, Arnau Mir (1997)
Publicacions Matemàtiques
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Psi-series (i.e., logarithmic series) for the solutions of quadratic vector fields on the plane are considered. Its existence and convergence is studied, and an algorithm for the location of logarithmic singularities is developed. Moreover, the relationship between psi-series and non-integrability is stressed and in particular it is proved that quadratic systems with psi-series that are not Laurent series do not have an algebraic first integral. Besides, a criterion about non-existence...
Susan Schuur (1980)
Acta Arithmetica
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Bernhard Ruf (1990)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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C. T. C. Wall (1980)
Compositio Mathematica
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Maria Carbinatto (1999)
Banach Center Publications
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In [1], the concept of singular isolating neighborhoods for a continuous family of continuous maps was presented. The work was based on Conley's result for a continuous family of continuous flows (cf. [2]). In this note, we study a particular family of continuous maps to illustrate the results in [1].