节点文献
EXPANDING INVARIANT SETS OF SELF-MAPPINGS
【摘要】 <正> Let M be a smooth manifold, f a C~1 self-mapping of M and Λ a compact expandinginvariant set of f. In this paper , it is proved that f is semi-structurally stable on Λ withrespect to C~0-perturbations and structurally stable on Λ with respect to C~1-perturbations.
【Abstract】 Let M be a smooth manifold, f a C~1 self-mapping of M and Λ a compact expandinginvariant set of f. In this paper , it is proved that f is semi-structurally stable on Λ withrespect to C~0-perturbations and structurally stable on Λ with respect to C~1-perturbations.
【关键词】 structurally；
perturbations；
manifold；
Riemannian；
invariant；
dynamical；
entries；
mentioned；
proof；
satisfy；
- 【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1984年10期
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