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Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems

Author

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  • Yang, Xiaofang
  • Lu, Tianxiu
  • Waseem, Anwar

Abstract

In this paper, fuzzy mapping is selected to study the coupled system in non-autonomous systems. The following conclusions are obtained: (1) The fuzzy system (F(X),{f˜n}n=1∞) is P1-chaos, then the coupled system (1–3) is P1 chaos. Where P1-chaos is one of the followings: (F1,F2)-Chaos, Li–Yorke chaos, distributional chaos, spatio-temporal chaos, densely δ-chaos, densely chaos, Ruelle-Takens chaos, Kato’s chaos. (2) The fuzzy system (F(X),{f˜n}n=1∞) is P2- sensitive, then the coupled system (1–3) is P2-sensitive. Where P2-sensitive is one of the followings: sensitive, Li–Yorke sensitive, densely Li–Yorke sensitive, infinitely sensitive, syndetically sensitive, cofinitely sensitive, F-sensitive, (F1,F2)-sensitive. (3) The fuzzy system (F(X),{f˜n}n=1∞) is transitive, exactness or accessible, then the coupled system (1–3) is transitive, exactness or accessible.

Suggested Citation

  • Yang, Xiaofang & Lu, Tianxiu & Waseem, Anwar, 2021. "Chaotic properties of a class of coupled mapping lattice induced by fuzzy mapping in non-autonomous discrete systems," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003337
    DOI: 10.1016/j.chaos.2021.110979
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    References listed on IDEAS

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    1. Shibata, Hiroshi, 2001. "KS entropy and mean Lyapunov exponent for coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 182-192.
    2. Wang, Xingyuan & Yang, Jingjing & Guan, Nana, 2021. "High-sensitivity image encryption algorithm with random cross diffusion based on dynamically random coupled map lattice model," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Wu, Xinxing & Wang, Jianjun, 2016. "A remark on accessibility," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 115-117.
    4. Wang, Xingyuan & Xue, Wenhua & An, Jubai, 2020. "Image encryption algorithm based on Tent-Dynamics coupled map lattices and diffusion of Household," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    5. Lu, Guangqing & Smidtaite, Rasa & Howard, Daniel & Ragulskis, Minvydas, 2019. "An image hiding scheme in a 2-dimensional coupled map lattice of matrices," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 78-85.
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