Affiliation:
1. School of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524025, China
2. Department of Mathematics, Sichuan Normal University, Chengdu 610017, China
3. ArtificialIntelligence Key Laboratory, Bridge Non-Destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province, Zigong 643000, China
4. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China
Abstract
Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form φ(b1,b2,⋯,bp)=(up(bp),u1(b1),⋯,up−1(bp−1)), where bj∈Hj (j∈{1,2,⋯,p}), p≥2 is an integer, and Hj (j∈{1,2,⋯,p}) are compact subintervals of the real line R=(−∞,+∞). uj:Hj→Hj+1(j=1,2,…,p−1) and up:Hp→H1 are continuous maps. Necessary and sufficient conditions for a class of cyclic permutation maps to have Li–Yorke chaos, distributional chaos in a sequence, distributional chaos, or Li–Yorke sensitivity are given. These results extend the existing ones.
Funder
NSF of Guangdong Province
NSF of Sichuan Province
Scientific Research Project of Sichuan University of Science and Engineering
Opening Project of Bridge Non-destruction Detecting and Engineering Computing Key Laboratory of Sichuan Province
Opening Project of Artificial Intelligence Key Laboratory of Sichuan Province
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Cited by
1 articles.
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