IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v160y2022ics0960077922003976.html
   My bibliography  Save this article

Controlling multistability with intermittent noise

Author

Listed:
  • Shajan, Emilda
  • Shrimali, Manish Dev

Abstract

We present a method for controlling multistability in dynamical systems with inherent coexisting multiple attractors. The scheme involves an intermittent noise, which is active only when the dynamics of the system is in a particular fraction of the state space of the system. In contrast to the existing methods of unrestricted noise controls resulting predominantly in attractor hopping, this scheme of space-dependent intermittent noise selectively annihilates undesired attractors to control multistability. We implement the proposed scheme successfully, first on bistable systems to achieve monostability preserving only the desired attractor and then on multistable systems as well. We further demonstrate the construction of logic gates using the control over bistability achieved with the intermittent noise.

Suggested Citation

  • Shajan, Emilda & Shrimali, Manish Dev, 2022. "Controlling multistability with intermittent noise," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922003976
    DOI: 10.1016/j.chaos.2022.112187
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922003976
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112187?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. Trujillo-Toledo, D.A. & López-Bonilla, O.R. & García-Guerrero, E.E. & Tlelo-Cuautle, E. & López-Mancilla, D. & Guillén-Fernández, O. & Inzunza-González, E., 2021. "Real-time RGB image encryption for IoT applications using enhanced sequences from chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    2. Li, Chunguang & Chen, Guanrong, 2005. "Coexisting chaotic attractors in a single neuron model with adapting feedback synapse," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1599-1604.
    3. Didier Paillard, 1998. "The timing of Pleistocene glaciations from a simple multiple-state climate model," Nature, Nature, vol. 391(6665), pages 378-381, January.
    4. Zhou, Shengxi & Cao, Junyi & Inman, Daniel J. & Lin, Jing & Liu, Shengsheng & Wang, Zezhou, 2014. "Broadband tristable energy harvester: Modeling and experiment verification," Applied Energy, Elsevier, vol. 133(C), pages 33-39.
    5. Chaurasia, Sudhanshu Shekhar & Choudhary, Anshul & Shrimali, Manish Dev & Sinha, Sudeshna, 2019. "Suppression and revival of oscillations through time-varying interaction," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 249-254.
    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. Margielewicz, Jerzy & Gąska, Damian & Litak, Grzegorz & Wolszczak, Piotr & Yurchenko, Daniil, 2022. "Nonlinear dynamics of a new energy harvesting system with quasi-zero stiffness," Applied Energy, Elsevier, vol. 307(C).
    2. Dongmei Huang & Shengxi Zhou & Zhichun Yang, 2019. "Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow-Band Stochastic Parametric Excitations," Complexity, Hindawi, vol. 2019, pages 1-20, December.
    3. Chen, Lin & Liao, Xin & Sun, Beibei & Zhang, Ning & Wu, Jianwei, 2022. "A numerical-experimental dynamic analysis of high-efficiency and broadband bistable energy harvester with self-decreasing potential barrier effect," Applied Energy, Elsevier, vol. 317(C).
    4. Rasel, Mohammad Sala Uddin & Park, Jae-Yeong, 2017. "A sandpaper assisted micro-structured polydimethylsiloxane fabrication for human skin based triboelectric energy harvesting application," Applied Energy, Elsevier, vol. 206(C), pages 150-158.
    5. Huguet, Thomas & Badel, Adrien & Druet, Olivier & Lallart, Mickaël, 2018. "Drastic bandwidth enhancement of bistable energy harvesters: Study of subharmonic behaviors and their stability robustness," Applied Energy, Elsevier, vol. 226(C), pages 607-617.
    6. Yildirim, Tanju & Ghayesh, Mergen H. & Li, Weihua & Alici, Gursel, 2017. "A review on performance enhancement techniques for ambient vibration energy harvesters," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 435-449.
    7. Zhang, L.B. & Dai, H.L. & Abdelkefi, A. & Wang, L., 2019. "Experimental investigation of aerodynamic energy harvester with different interference cylinder cross-sections," Energy, Elsevier, vol. 167(C), pages 970-981.
    8. Xiaobiao Shan & Haigang Tian & Han Cao & Tao Xie, 2020. "Enhancing Performance of a Piezoelectric Energy Harvester System for Concurrent Flutter and Vortex-Induced Vibration," Energies, MDPI, vol. 13(12), pages 1-19, June.
    9. Zhaoxin Cai & Kuntao Zhou & Tao Yang & Shuying Hao, 2023. "Analysis of Dynamic Characteristics of Tristable Exponential Section of Piezoelectric Energy Harvester," Energies, MDPI, vol. 16(18), pages 1-21, September.
    10. Wang, Zhemin & Du, Yu & Li, Tianrun & Yan, Zhimiao & Tan, Ting, 2021. "A flute-inspired broadband piezoelectric vibration energy harvesting device with mechanical intelligent design," Applied Energy, Elsevier, vol. 303(C).
    11. Qin, Jian & Zhang, Zhenquan & Huang, Shuting & Wang, Wei & Liu, Yanjun & Xue, Gang, 2024. "Energy capture performance enhancement of point absorber wave energy converter using magnetic tristable and quadstable mechanisms," Renewable Energy, Elsevier, vol. 221(C).
    12. Zou, Donglin & Liu, Gaoyu & Rao, Zhushi & Tan, Ting & Zhang, Wenming & Liao, Wei-Hsin, 2021. "Design of a multi-stable piezoelectric energy harvester with programmable equilibrium point configurations," Applied Energy, Elsevier, vol. 302(C).
    13. Lee, Hyeon & Sharpes, Nathan & Abdelmoula, Hichem & Abdelkefi, Abdessattar & Priya, Shashank, 2018. "Higher power generation from torsion-dominant mode in a zigzag shaped two-dimensional energy harvester," Applied Energy, Elsevier, vol. 216(C), pages 494-503.
    14. James Walsh & Esther Widiasih, 2020. "A Discontinuous ODE Model of the Glacial Cycles with Diffusive Heat Transport," Mathematics, MDPI, vol. 8(3), pages 1-24, March.
    15. Eghbali, Pejman & Younesian, Davood & Farhangdoust, Saman, 2020. "Enhancement of the low-frequency acoustic energy harvesting with auxetic resonators," Applied Energy, Elsevier, vol. 270(C).
    16. Yue, Xiaole & Lv, Ge & Zhang, Ying, 2021. "Rare and hidden attractors in a periodically forced Duffing system with absolute nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    17. Chen, Keyu & Gao, Qiang & Fang, Shitong & Zou, Donglin & Yang, Zhengbao & Liao, Wei-Hsin, 2021. "An auxetic nonlinear piezoelectric energy harvester for enhancing efficiency and bandwidth," Applied Energy, Elsevier, vol. 298(C).
    18. Zhou, Zhiyong & Qin, Weiyang & Zhu, Pei & Shang, Shijie, 2018. "Scavenging wind energy by a Y-shaped bi-stable energy harvester with curved wings," Energy, Elsevier, vol. 153(C), pages 400-412.
    19. Jia, Jinda & Shan, Xiaobiao & Upadrashta, Deepesh & Xie, Tao & Yang, Yaowen & Song, Rujun, 2020. "An asymmetric bending-torsional piezoelectric energy harvester at low wind speed," Energy, Elsevier, vol. 198(C).
    20. Han, Minglei & Yang, Xu & Wang, Dong F. & Jiang, Lei & Song, Wei & Ono, Takahito, 2022. "A mosquito-inspired self-adaptive energy harvester for multi-directional vibrations," Applied Energy, Elsevier, vol. 315(C).

    More about this item

    Keywords

    Multistability; Control; Noise;
    All these 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:160:y:2022:i:c:s0960077922003976. 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.