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Fuzzy cross and fuzzy joint recurrence plots

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  • Pham, Tuan D.

Abstract

Cross recurrence plots are visualizations that show recurrences of simultaneous occurrences of states of two dynamical systems, while joint recurrence plots graphically exhibit simultaneous occurrences of recurrences of two or more dynamical systems. In this paper, fuzzy cross and fuzzy joint recurrence plots are introduced using minimum T-norm and product T-norm to reveal cross and joint recurrences of states of dynamical systems, respectively. Not only fuzzy cross and fuzzy joint recurrence plots are able to relax the constraint of the similarity threshold imposed on cross and joint recurrence plots, but also provide a measure of evidence of the recurrence.

Suggested Citation

  • Pham, Tuan D., 2020. "Fuzzy cross and fuzzy joint recurrence plots," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s037843711931708x
    DOI: 10.1016/j.physa.2019.123026
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    References listed on IDEAS

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    1. Pham, Tuan D., 2019. "Fuzzy weighted recurrence networks of time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 409-417.
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    Cited by:

    1. Li, Xiangrong & Zhu, Shaoying & Yüksel, Serhat & Dinçer, Hasan & Ubay, Gözde Gülseven, 2020. "Kano-based mapping of innovation strategies for renewable energy alternatives using hybrid interval type-2 fuzzy decision-making approach," Energy, Elsevier, vol. 211(C).
    2. Wang, Minggang & Hua, Chenyu & Zhu, Mengrui & Xie, Shangshan & Xu, Hua & Vilela, André L.M. & Tian, Lixin, 2022. "Interrelation measurement based on the multi-layer limited penetrable horizontal visibility graph," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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