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A Remark on Sensitivity and Li–Yorke Sensitivity of Iterated Function Systems

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Abstract

This considers how sensitivity and Li–Yorke sensitivity on iterated function systems carry over to their products and proves that the sensitivity and Li–Yorke sensitivity are both preserved under iterations.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (11501391) and the Scientific Research Project of Sichuan University of Science and Engineering (2014RC02).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Cuina Ma & Peiyong Zhu

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  1. Cuina Ma
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  2. Peiyong Zhu
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Correspondence to Cuina Ma.

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Project supported by the National Natural Science Foundation of China (11501391) and the Scientific Research Project of Sichuan University of Science and Engineering (2014RC02).

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Ma, C., Zhu, P. A Remark on Sensitivity and Li–Yorke Sensitivity of Iterated Function Systems. Qual. Theory Dyn. Syst. 18, 1–9 (2019). https://doi.org/10.1007/s12346-018-0270-7

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  • DOI: https://doi.org/10.1007/s12346-018-0270-7

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