Document Type: Research Paper


1 School of Sciences, Southwest Petroleum University, Chengdu, Sichuan, 610500, People's Republic of China

2 Zhuhai College of Jilin University, Zhuhai, Guangdong, 519041, Peoples Republic of China

3 School of Mathematical Sciences, Dalian University of Technology, Liaoning, Dalian, 116024, People's Republic of China


Some characterizations on the chain recurrence, chain transitivity, chain mixing property,
shadowing and $h$-shadowing for Zadeh's extension are obtained. Besides, it is proved
that a dynamical system is spatiotemporally chaotic provided that the Zadeh's extension
is Li-Yorke sensitive.


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