On the limit cycle distribution over two nests in quadratic systems

Publisher: Cambridge University Press

E-ISSN: 1755-1633|52|3|461-474

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.52, Iss.3, 1995-12, pp. : 461-474

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Abstract

As a contribution to the solution of Hilbert's 16th problem the question is considered whether in a quadratic system with two nests of limit cycles at least in one nest there exists precisely one limit cycle. An affirmative answer to this question is given for the case that the sum of the multiplicities of the finite critical points in the system is equal to three.