Estimating the number of limit cycles in polynomials systems /

We describe a method based on algorithms of computational algebra for obtaining an upper bound for the number of limit cycles bifurcating from a center or a focus of polynomial vector field. We apply it to a cubic system depending on six parameters and prove that in the generic case at most six limi...

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Main Authors: Han, Maoan. (Author), Romanovski, Valery. (Author)
Format: Book Chapter
Jezik:English
Teme:
Online dostop:http://dx.doi.org/10.1016/j.jmaa.2010.04.024
Sorodne knjige/članki:Vsebovano v: Journal of mathematical analysis and applications
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http://dx.doi.org/10.1016/j.jmaa.2010.04.024