Constructing Higher-Dimensional Digital Chaotic Systems via Loop-State Contraction Algorithm

@article{Wang2021ConstructingHD,
  title={Constructing Higher-Dimensional Digital Chaotic Systems via Loop-State Contraction Algorithm},
  author={Qianxue Wang and Simin Yu and Christophe Guyeux and Wei Wang},
  journal={IEEE Transactions on Circuits and Systems I: Regular Papers},
  year={2021},
  volume={68},
  pages={3794-3807}
}
This paper aims to refine and expand the theoretical and application framework of higher-dimensional digital chaotic system (HDDCS). Topological mixing for HDDCS is strictly proved theoretically at first. Topological mixing implies Devaney’s definition of chaos in a compact space, but not vice versa. Therefore, the proof of topological mixing promotes the theoretical research of HDDCS. Then, a general design method for constructing HDDCS via loop-state contraction algorithm is given. The… 

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