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Limit Cycles Close to Infinity of Certain Non-Linear Differential Equations

Published online by Cambridge University Press:  20 November 2018

Víctor Guíñez ,
Eduardo Sáez  and
Iván Szántó
Víctor Guíñez
Affiliation:
Universidad Técnica Federico Santa Maria, Departamento de Matemâtica, Casilla 110-V Valparaiso, Chile
Eduardo Sáez
Affiliation:
Universidad de Chile, Facultad de Ciencias, Las Paimeras 3425 Ñuñoa, Santiago, Chile
Iván Szántó
Affiliation:
Universidad de Chile, Facultad de Ciencias, Las Paimeras 3425 Ñuñoa, Santiago, Chile
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Abstract

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Through successive radial perturbations of a certain planar Hamiltonian polynomial vector field of degree 2K + 1, we obtain a least K limit cycles containing (2K + 1)2 singularities.

Keywords

34A34
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 33 , Issue 1 , 01 March 1990 , pp. 55 - 59
Copyright
Copyright © Canadian Mathematical Society 1990

References

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