Birth of limit cycles bifurcating from a nonsmooth center
نویسندگان
چکیده
منابع مشابه
Limit cycles bifurcating from a degenerate center
We study the maximum number of limit cycles that can bifurcate from a degenerate center of a cubic homogeneous polynomial differential system. Using the averaging method of second order and perturbing inside the class of all cubic polynomial differential systems we prove that at most three limit cycles can bifurcate from the degenerate center. As far as we know this is the first time that a com...
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Using Melnikov functions at any order, we provide upper bounds for the maximum number of limit cycles bifurcating from the period annulus of the degenerate center ẋ = −y((x + y)/2) and ẏ = x((x + y)/2) with m ≥ 1, when we perturb it inside the whole class of polynomial vector fields of degree n. The positive integers m and n are arbitrary. As far as we know there is only one paper that provide ...
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ژورنال
عنوان ژورنال: Journal de Mathématiques Pures et Appliquées
سال: 2014
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.10.013