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Rn上返回排斥子的Lipschitz结构稳定性
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Abstract:
本文研究欧氏空间上返回排斥子的Lipschitz扰动。设f，g是欧氏空间Rn上的连续自映射，如果f具有返回排斥子且g是f的Lipschitz小扰动，则g也有返回排斥子。因此欧氏空间Rn上的返回排斥子是Lipschitz结构稳定的。
This note is concerned with the effect of small Lipschitz perturbations of a discrete dynamical sys-tem in Rn. Let f, g be continuous map from Rn into itself. If f has snap-back repellers and g is a small Lipschitz perturbations of f, then g has snap-back repellers. In addition, the snap-back repellers are Lipschitz structural stability in Rn.
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