Title of article
The third order Melnikov function of a quadratic center under quadratic perturbations
Author/Authors
Adriana Buica، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
12
From page
443
To page
454
Abstract
We study quadratic perturbations of the integrable system (1 + x)dH, where H = (x2 + y2)/2. We
prove that the first three Melnikov functions associated to the perturbed system give rise at most to three
limit cycles.
© 2006 Elsevier Inc. All rights reserved.
Keywords
Limit cycles , Bifurcation , High order Melnikov functions , Quadratic systems
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935773
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