Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems
نویسندگان
چکیده
and Applied Analysis 3 where g x ax O x 1 , m ≥ 2 system 1.8 is a generalized Liénard system . Stróżyna and Żoła̧dek 17 proved that this formal normal form can be achieved through an analytic change of variables. Thus, if 1.4 has a center or focus at the origin, then it can be changed into 1.8 with g x x2n−1 a2n−1 O x , n ≥ 2, a2n−1 > 0. 1.9 According to 11 under 1.9 by a change of variables x and t of the form:
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