IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v198y2025ics0960077925005211.html

Diverse performance in compressive sensing-based reconstruction of an oscillatory dynamical system

Author

Listed:
  • Naeem, Hadia
  • Su, Chun-Wang
  • Ji, Mei
  • Yao, Nan
  • Huang, Zi-Gang
  • Grebogi, Celso

Abstract

Even though compressive sensing (CS) has been successfully implemented in numerous chaotic dynamical systems, there remains a lack of in-depth understanding of how this inverse problem method performs when reconstructing periodic dynamical systems. In this work, we investigate the reconstruction of a periodic dynamical system based on CS, considering the Landau–Stuart (LS) oscillator as a paradigmatic model. Unlike chaotic systems, the periodic dynamics bring some challenges to robust reconstruction by CS. We identified that by introducing slight differences or diversity in the dynamics of coupled Landau–Stuart (LS) oscillator systems, for example, coupling asymmetry, frequency detuning, and amplitude disparity, the process of achieving robust reconstruction by CS becomes considerably smooth.

Suggested Citation

  • Naeem, Hadia & Su, Chun-Wang & Ji, Mei & Yao, Nan & Huang, Zi-Gang & Grebogi, Celso, 2025. "Diverse performance in compressive sensing-based reconstruction of an oscillatory dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005211
    DOI: 10.1016/j.chaos.2025.116508
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925005211
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116508?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Tang, Li-Hong & Bai, Yu-Long & Yang, Jie & Lu, Ya-Ni, 2020. "A hybrid prediction method based on empirical mode decomposition and multiple model fusion for chaotic time series," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Lu, Yisha & Hu, Yaozhong & Qiao, Yan & Yuan, Minjuan & Xu, Wei, 2024. "Sparse least squares via fractional function group fractional function penalty for the identification of nonlinear dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Yan, Yanjun & Chen, Kai & Zhao, Yijiu & Wang, Houjun & Xu, Bo & Wang, Yifan, 2024. "An innovative orthogonal matrix based on nonlinear chaotic system for compressive sensing," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    4. Ziran Wei & Jianlin Zhang & Zhiyong Xu & Yong Liu, 2020. "Measurement Matrix Optimization via Mutual Coherence Minimization for Compressively Sensed Signals Reconstruction," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-18, September.
    5. Huang, Shufeng & Jiang, Donghua & Wang, Qianxue & Guo, Mingwei & Huang, Linqing & Li, Weijun & Cai, Shuting, 2022. "High-quality visually secure image cryptosystem using improved Chebyshev map and 2D compressive sensing model," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Yagang & Zhang, Jinghui & Yu, Leyi & Pan, Zhiya & Feng, Changyou & Sun, Yiqian & Wang, Fei, 2022. "A short-term wind energy hybrid optimal prediction system with denoising and novel error correction technique," Energy, Elsevier, vol. 254(PC).
    2. Chai, Xiuli & Shang, Guangyu & Wang, Binjie & Gan, Zhihua & Zhang, Wenkai, 2024. "Exploiting 2D-SDMCHM and matching embedding driven by flag-shaped hexagon prediction for visually meaningful medical image cryptosystem," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    3. Hu, Long-Long & Chen, Ming-Xuan & Wang, Meng-Meng & Zhou, Nan-Run, 2024. "A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    4. Chu, Yunkun & Cui, Naxin & Liu, Kailong, 2025. "Nonlinear modeling and SOC estimation of lithium-ion batteries based on block-oriented structures," Energy, Elsevier, vol. 315(C).
    5. Diao, Yifeng & Huang, Shufeng & Huang, Linqing & Xiong, Xiaoming & Yang, Jian & Cai, Shuting, 2024. "Generating any number of multi-butterfly chaotic attractors via a novel memristor with only one internal function," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    6. Yu, Zelai & Jiang, Xiaotian & Song, Yuchen & Luo, Xiao & Li, Shengnan & Chen, Wenbin & Zhang, Min & Wang, Danshi, 2025. "A sparse regression framework for governing equation discovery in nonlinear optical dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 200(P3).
    7. Zhu, Ting & Wang, Wenbo & Yu, Min, 2022. "A novel blood glucose time series prediction framework based on a novel signal decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    8. Zhao, Mingjie & Li, Lixiang & Yuan, Zheng, 2024. "A multi-image encryption scheme based on a new n-dimensional chaotic model and eight-base DNA," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Ai, Chunyu & He, Shan & Hu, Heng & Fan, Xiaochao & Wang, Weiqing, 2023. "Chaotic time series wind power interval prediction based on quadratic decomposition and intelligent optimization algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    10. Campos, Michel W.S. & Ayres, Florindo A.C. & de Bessa, Iury Valente & de Medeiros, Renan L.P. & Martins, Paulo R.O. & Lenzi, Ervin kaminski & Filho, João E.C. & Vilchez, José R.S. & Lucena, Vicente F., 2024. "Fractional-order identification system based on Sundaresan’s technique," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    11. Wang, Siyi & Chen, Yongqiang & Mei, Ying & He, Wenping, 2023. "The robustness of driving force signals extracted by slow feature analysis," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    12. Long, Guoqiang & Chai, Xiuli & Gan, Zhihua & Jiang, Donghua & He, Xin & Sun, Mengge, 2023. "Exploiting one-dimensional exponential Chebyshev chaotic map and matching embedding for visually meaningful image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    13. Wu, Qiliang & Wang, Jiawei & Yao, Minghui & Bai, Bin & Wang, Cong & Niu, Yan, 2025. "Dynamic instability induced by infinite-dimensional homoclinic bifurcations of FG-MFCPs under 1:2 parametric resonance," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    14. Ding, Lin & Bai, Yulong & Liu, Ming-De & Fan, Man-Hong & Yang, Jie, 2022. "Predicting short wind speed with a hybrid model based on a piecewise error correction method and Elman neural network," Energy, Elsevier, vol. 244(PA).
    15. Xia, Lei & Wu, Jiafeng & Khosravi, Ali & Sun, Li, 2025. "Modelica based modelling and control design of counter-flow SOFC system considering temperature distribution," Energy, Elsevier, vol. 331(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005211. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.