IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v186y2024ics0960077924008890.html
   My bibliography  Save this article

Extreme events in a damped Korteweg–de Vries (KdV) autonomous system: A comprehensive analysis

Author

Listed:
  • Thamilmaran, K.
  • Bhagyaraj, T.
  • Sabarathinam, S.

Abstract

This manuscript explores extreme events in a three-dimensional, damped Korteweg–de Vries (KdV) autonomous system that is derived from the jerk system with a modified basin. Through rigorous stability analysis, we identify the extreme events, confirmed using phase portraits, Poincaré return maps, time series, and probability distribution functions. The Dragon-king phenomenon is obtained and self-organised criticality is discussed. The regime of extreme events in a wide parameter range was obtained through two-parameter scanning. The analog circuit was constructed to mimicking dynamics of damped KdV equation and demonstrated in real-time hardware experiment as well as PSpice simulation. The experimental results show excellent agreement with the numerically obtained results. This study is the first comprehensive examination of extreme events in the damped KdV system, highlighting their nature and potential applications in chaos-based dynamical systems.

Suggested Citation

  • Thamilmaran, K. & Bhagyaraj, T. & Sabarathinam, S., 2024. "Extreme events in a damped Korteweg–de Vries (KdV) autonomous system: A comprehensive analysis," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    • Handle: RePEc:eee:chsofr:v:186:y:2024:i:c:s0960077924008890
    DOI: 10.1016/j.chaos.2024.115337
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924008890
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.115337?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Ira Didenkulova & Roger Grimshaw & Alexey Slunyaev & Stefano Tinti, 2016. "Advances in nonlinear wave research for hazard warning and mitigation," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 84(2), pages 431-436, November.
    2. Chlouverakis, Konstantinos E. & Sprott, J.C., 2006. "Chaotic hyperjerk systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 739-746.
    3. Xing-Yun Zou & Xin-Yu Peng & Xin-Xin Zhao & Chun-Ping Chang, 2023. "The impact of extreme weather events on water quality: international evidence," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 115(1), pages 1-21, January.
    4. Thangavel, Bhagyaraj & Srinivasan, Sabarathinam & Kathamuthu, Thamilmaran, 2021. "Extreme events in a forced BVP oscillator: Experimental and numerical studies," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    5. Manivelan, S.V. & Sabarathinam, S. & Thamilmaran, K. & Manimehan, I., 2024. "Dynamical instabilities cause extreme events in a theoretical Brusselator model," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    6. Ahmed Daeli & Salman Mohagheghi, 2022. "Power Grid Infrastructural Resilience against Extreme Events," Energies, MDPI, vol. 16(1), pages 1-17, December.
    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. Wang, Zhen & Ahmadi, Atefeh & Tian, Huaigu & Jafari, Sajad & Chen, Guanrong, 2023. "Lower-dimensional simple chaotic systems with spectacular features," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Wen, Jun & Zhang, Sen & Chang, Chun-Ping & Anugrah, Donni Fajar & Affandi, Yoga, 2023. "Does climate vulnerability promote green investment under energy supply restriction?," Energy Economics, Elsevier, vol. 124(C).
    3. Leutcho, Gervais Dolvis & Kengne, Jacques, 2018. "A unique chaotic snap system with a smoothly adjustable symmetry and nonlinearity: Chaos, offset-boosting, antimonotonicity, and coexisting multiple attractors," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 275-293.
    4. Tchitnga, R. & Mezatio, B.A. & Fozin, T. Fonzin & Kengne, R. & Louodop Fotso, P.H. & Fomethe, A., 2019. "A novel hyperchaotic three-component oscillator operating at high frequency," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 166-180.
    5. Linz, Stefan J., 2008. "On hyperjerky systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 741-747.
    6. Amelia Carolina Sparavigna, 2015. "Jerk and Hyperjerk in a Rotating Frame of Reference," International Journal of Sciences, Office ijSciences, vol. 4(03), pages 29-33, March.
    7. Munmuangsaen, Buncha & Srisuchinwong, Banlue, 2018. "A hidden chaotic attractor in the classical Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 61-66.
    8. Leutcho, G.D. & Kengne, J. & Kengne, L. Kamdjeu, 2018. "Dynamical analysis of a novel autonomous 4-D hyperjerk circuit with hyperbolic sine nonlinearity: Chaos, antimonotonicity and a plethora of coexisting attractors," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 67-87.
    9. Manivelan, S.V. & Sabarathinam, S. & Thamilmaran, K. & Manimehan, I., 2024. "Dynamical instabilities cause extreme events in a theoretical Brusselator model," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    10. Wang, Jun-Zhuo & Feng, Gen-Fu & Yin, Hua-Tang & Chang, Chun-Ping, 2023. "Toward sustainable development: Does the rising oil price stimulate innovation in climate change mitigation technologies?," Economic Analysis and Policy, Elsevier, vol. 79(C), pages 569-583.
    11. Lizama, Carlos & Murillo-Arcila, Marina, 2023. "On the existence of chaos for the fourth-order Moore–Gibson–Thompson equation," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    12. Li, Shuangyan & Chang, Ge & Zunong, Reyihanguli, 2023. "Does regional digital economy development influence green investment?," Innovation and Green Development, Elsevier, vol. 2(3).
    13. Chu, Yan-Dong & Li, Xian-Feng & Zhang, Jian-Gang & Chang, Ying-Xiang, 2009. "Nonlinear dynamics analysis of a modified optically injected semiconductor lasers model," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 14-27.
    14. Han, Jixuan & Li, Tianshu & Philbin, Simon P., 2023. "Does low-carbon pilot policy in China improve corporate profitability? The role of innovation and subsidy," Innovation and Green Development, Elsevier, vol. 2(2).
    15. Han Long & Gen-Fu Feng & Chun-Ping Chang, 2023. "How does ESG performance promote corporate green innovation?," Economic Change and Restructuring, Springer, vol. 56(4), pages 2889-2913, August.
    16. Kuate, Paul Didier Kamdem & Tchendjeu, Achille Ecladore Tchahou & Fotsin, Hilaire, 2020. "A modified Rössler prototype-4 system based on Chua’s diode nonlinearity : Dynamics, multistability, multiscroll generation and FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    17. Liu, Yutong & Zheng, Mingbo & Shum, Wai Yan, 2024. "On the linkages between digital finance and real economy in China: A cointegration analysis," Innovation and Green Development, Elsevier, vol. 3(1).
    18. Prasina Alexander & Selçuk Emiroğlu & Sathiyadevi Kanagaraj & Akif Akgul & Karthikeyan Rajagopal, 2023. "Infinite coexisting attractors in an autonomous hyperchaotic megastable oscillator and linear quadratic regulator-based control and synchronization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-13, January.
    19. Rech, Paulo C., 2022. "Self-excited and hidden attractors in a multistable jerk system," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    20. Zheng, Mingbo & Wong, Chun Yee, 2024. "The impact of digital economy on renewable energy development in China," Innovation and Green Development, Elsevier, vol. 3(1).

    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:186:y:2024:i:c:s0960077924008890. 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.