摘要
本文讨论二阶系统x+g(x)=-εαf(x)+εβ(α+cos ωt)的Poincare截面出现马蹄(浑沌)的性质。证明了一定条件下,参数落在有界带状区域时,出现马蹄(浑沌)。
In this paper,the Chaotic behavior(Smaloes horseshe)of the second-order system x+g(x)=-εαf(x)+εβ(α+cosωt) is studied. It is proved that the system appears Chaotic behavior (Smale horseshoes) in a band region of parameter space under some conditions.
出处
《数学杂志》
CSCD
北大核心
1989年第3期303-308,共6页
Journal of Mathematics
