In this paper, we apply the asymptotic methods to the study of the evolution and vanishing of limit cycles of a one parameter family of differential equations. Some sufficient conditions are given to guarantee the exi...In this paper, we apply the asymptotic methods to the study of the evolution and vanishing of limit cycles of a one parameter family of differential equations. Some sufficient conditions are given to guarantee the existence of duck solutions and duck cycles. The abruptness of this evolution is illustrated by a computer-analysis study.展开更多
文摘In this paper, we apply the asymptotic methods to the study of the evolution and vanishing of limit cycles of a one parameter family of differential equations. Some sufficient conditions are given to guarantee the existence of duck solutions and duck cycles. The abruptness of this evolution is illustrated by a computer-analysis study.
