Science China Mathematics

, Volume 62, Issue 12, pp 2527–2534 | Cite as

Weak mixing in switched systems

  • Yu Huang
  • Xingfu ZhongEmail author


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.


weakly mixing chaotic set switched system 


37B05 37B55 54H20 


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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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© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsSun Yat-sen UniversityGuangzhouChina

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