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

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

Chaos, Solitons & Fractals, 2025, vol. 198, issue C

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.

Keywords: Compressive sensing (CS); Periodicity; Chaoticity; Landau–Stuart oscillator; Diverse performance (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077925005211
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005211

DOI: 10.1016/j.chaos.2025.116508

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().