Abstract
Given a switched system, we introduce weakly mixing sets of type 1, 2 and Xiong chaotic sets of type 1, 2 with respect to a given set and show that they are equivalent, respectively.
Keywords
weakly mixing chaotic set switched systemMSC(2010)
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Notes
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 11771459 and 11471125) and International Program for PhD Candidates, Sun Yat-sen University. The second author thanks Prof. Xingfu Zou and his department for their hospitality during his visit to University of Western Ontario. A part of this work was done when the second author was visiting University of Western Ontario. The authors are grateful to the referees for their valuable comments which have led to improvement of the paper.
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