摘要
本文证明了Riemann流形上的微分同胚f在其双曲不变集附近具有相对于C1小扰动一致的极限 跟踪性.还证明了如果f是C1-结构稳定的,则,具有极限跟踪性.
This paper considers the limit shadowing property for diffeomorphisms on a Riemannian manifold. Let f be a diffeomorphism. It is shown that (1) f has the limit shadowing property with respect to some δ>0 on a neighborhood of the hyperbolic set, and this property is 'uniform' with respect to C1-perturbation; (2) if f is C1-structurally stable, then f has the limit shadowing property with respect to some δ> 0.
出处
《数学年刊（A辑）》
CSCD
北大核心
2004年第5期613-620,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10371030)
河北师范大学博士基金(No.L2003B05)资助的项目.
关键词
渐近伪轨
极限跟踪性
双曲集
结构稳定性
Asymptotic pseudo orbit, Limit shadowing property, Hyperbolic set, Structural stability
