IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v626y2023ics0378437123006428.html
   My bibliography  Save this article

Performance of synchronization in networks of chaotic systems under different PID coupling schemes

Author

Listed:
  • Parastesh, Fatemeh
  • Dayani, Zahra
  • Bahramian, Alireza
  • Jafari, Sajad
  • Chen, Guanrong

Abstract

The conventional PID control method is utilized for synchronizing a network of chaotic systems, where the coupling is defined on the proportions, integrals and derivatives of the state variables. The master stability function approach is taken, with a special technique to bypass the difficulties in calculations of integral and derivative couplings by using the hyperjerk systems. For demonstration, six different hyperjerk systems are examined, and the effects of different coupling schemes are studied and compared. It is found that the most efficient coupling for achieving network synchronization is the proportional–integral coupling. It is also verified that the same networked systems are not synchronizable under derivative, integral, integral–derivative, and proportional–derivative coupling configurations. The results obtained from master stability function method are verified by numerical simulations.

Suggested Citation

  • Parastesh, Fatemeh & Dayani, Zahra & Bahramian, Alireza & Jafari, Sajad & Chen, Guanrong, 2023. "Performance of synchronization in networks of chaotic systems under different PID coupling schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    • Handle: RePEc:eee:phsmap:v:626:y:2023:i:c:s0378437123006428
    DOI: 10.1016/j.physa.2023.129087
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437123006428
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2023.129087?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. Guillaume Dumas & Jacqueline Nadel & Robert Soussignan & Jacques Martinerie & Line Garnero, 2010. "Inter-Brain Synchronization during Social Interaction," PLOS ONE, Public Library of Science, vol. 5(8), pages 1-10, August.
    2. Dai, Xiangfeng & Li, Xuelong & Gutiérrez, Ricardo & Guo, Hao & Jia, Danyang & Perc, Matjaž & Manshour, Pouya & Wang, Zhen & Boccaletti, Stefano, 2020. "Explosive synchronization in populations of cooperative and competitive oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    3. Rosas, Alexandre, 2021. "Synchronization induced by alternation of dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    4. Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Xu, Jin & Yang, Huijie, 2023. "Multiple moving agents on complex networks: From intermittent synchronization to complete synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 614(C).
    5. Hannesson, Erik & Sellers, Jordan & Walker, Ethan & Webb, Benjamin, 2022. "Network specialization: A topological mechanism for the emergence of cluster synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zheng, Ying & Wu, Yayong & Jiang, Guo-Ping, 2024. "Exploring synchronizability of complex dynamical networks from edges perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).

    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. Lai, Joel Weijia & Cheong, Kang Hao, 2023. "Boosting Brownian-inspired games with network synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Frolov, Nikita & Rakshit, Sarbendu & Maksimenko, Vladimir & Kirsanov, Daniil & Ghosh, Dibakar & Hramov, Alexander, 2021. "Coexistence of interdependence and competition in adaptive multilayer network," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Li, Wen-Jing & Jiang, Luo-Luo & Chen, Zhi & Perc, Matjaž & Slavinec, Mitja, 2020. "Optimization of mobile individuals promotes cooperation in social dilemmas," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Wang, Xuan & Zheng, Zhigang & Xu, Can, 2023. "Explosive synchronization in phase oscillator populations with attractive and repulsive adaptive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. Zhang, Jinyuan & Ma, Yuechao, 2024. "Output feedback pinning control for complex dynamical networks subjected to multiple attacks," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    6. Yuval Hart & Maryam Vaziri-Pashkam & L Mahadevan, 2020. "Early warning signals in motion inference," PLOS Computational Biology, Public Library of Science, vol. 16(5), pages 1-16, May.
    7. Bayani, Atiyeh & Jafari, Sajad & Azarnoush, Hamed & Nazarimehr, Fahimeh & Boccaletti, Stefano & Perc, Matjaž, 2023. "Explosive synchronization dependence on initial conditions: The minimal Kuramoto model," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. Xu, Can & Yu, Huajian & Guan, Shuguang, 2023. "Dynamical origin of the explosive synchronization with partial adaptive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. Lai, Joel Weijia & Cheong, Kang Hao, 2022. "Risk-taking in social Parrondo’s games can lead to Simpson’s paradox," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    10. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    11. Pablo Billeke & Francisco Zamorano & Mario Chavez & Diego Cosmelli & Francisco Aboitiz, 2014. "Functional Cortical Network in Alpha Band Correlates with Social Bargaining," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-9, October.
    12. Xiao, Feng & Xie, Lingyun & Wei, Bo, 2022. "Explosive synchronization of weighted mobile oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
    13. Viktor Müller & Ulman Lindenberger, 2014. "Hyper-Brain Networks Support Romantic Kissing in Humans," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-19, November.
    14. Lv, Changchun & Yuan, Ziwei & Si, Shubin & Duan, Dongli & Yao, Shirui, 2022. "Cascading failure in networks with dynamical behavior against multi-node removal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

    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:phsmap:v:626:y:2023:i:c:s0378437123006428. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.