Li-Yorke Sensitivity of Set-Valued Discrete Systems

Heng Liu, Fengchun Lei and Lidong Wang

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

Consider the surjective, continuous map and the continuous map of induced by , where is a compact metric space and is the space of all nonempty compact subsets of endowed with the Hausdorff metric. In this paper, we give a short proof that if is Li-Yoke sensitive, then is Li-Yorke sensitive. Furthermore, we give an example showing that Li-Yorke sensitivity of does not imply Li-Yorke sensitivity of .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:260856

DOI: 10.1155/2013/260856

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