Abstract In this paper, we show that if f is a C 1 -map from R n into itself and has heteroclinic repellers, then g also has heteroclinic repellers with ‖ f − g ‖ C 1 being small enough and exhibits Devaney's chaos. The results demonstrate C 1 structural stability of heteroclinic repellers in Euclidean spaces. In the end, we give some examples to illustrate our theoretical results.

中文翻译：

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Rn中异宿排斥的C1持久性

摘要 在本文中，我们证明如果 f 是从 R n 到自身的 C 1 -映射并且具有异宿排斥，那么 g 也具有异宿排斥，其中 ‖ f − g ‖ C 1 足够小并且表现出德瓦尼混沌。结果证明了欧几里得空间中异宿排斥器的C 1 结构稳定性。最后，我们给出了一些例子来说明我们的理论结果。