Invariant scrambled sets,uniform rigidity and weak mixing

来源 :The 20th International Conference on Difference Equations an | 被引量 : 0次 | 上传用户：kvkv

【摘要】

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We show that for a non-trivial transitive dynamical system,it has a dense Mycielskiinvariant strongly scrambled set if and only if it has a fixed point,andit ha

【作者】

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李健

【出处】

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The 20th International Conference on Difference Equations an

【发表日期】

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2014年7期

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We show that for a non-trivial transitive dynamical system,it has a dense Mycielskiinvariant strongly scrambled set if and only if it has a fixed point,andit has a dense Mycielski invariant δ-scrambled set for some δ ＞ 0 if and onlyif it has a fixed point and not uniformly rigid.We also provide two methodsof construction of completely scrambled systems which are weakly mixing,proximal and uniformly rigid.(This is a joint work with Magdalena Fory′s,Wen Huang and Piotr Oprocha.)

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Invariant scrambled sets,uniform rigidity and weak mixing

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