Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems

[摘要] We perturb the differential system x?1=-x2(1+x1), x?2=x1(1+x1), and x?k=0 for k=3,…,d inside the class of all polynomial differential systems of degree n in Rd, and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using the first-order averaging theory.

[学科分类] 应用数学