Article ID Journal Published Year Pages File Type
4616460 Journal of Mathematical Analysis and Applications 2013 7 Pages PDF
Abstract
In this paper we mainly study the number of limit cycles which can bifurcate from the periodic orbits of the two centers ẋ=−y,ẏ=x;ẋ=−y(1−(x2+y2)2),ẏ=x(1−(x2+y2)2); when they are perturbed inside the class of all polynomial differential systems with quintic homogeneous nonlinearities. We do this study using the averaging theory of first, second and third orders.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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