IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v156y2022ics0960077922000340.html
   My bibliography  Save this article

Dynamical robustness in presence of attractive-repulsive interactions

Author

Listed:
  • Sharma, Amit
  • Rakshit, Biswambhar

Abstract

We investigate dynamical robustness in a network of oscillators having a simultaneous presence of attractive coupling along with a repulsive coupling. Our study reveals that the interplay of attractive-repulsive interactions in oscillators gives rise to complex aging transition dynamics. In particular, we show that due to the counteracting effects of attractive-repulsive interactions, aging transition happens through both homogeneous as well as inhomogeneous steady state. Our result establishes that while attractive interaction decreases dynamical robustness, repulsive interaction might enhance it depending on the parameter space. Parameter values for which aging transition occurs through the homogeneous steady state, dynamical robustness improves with the increment of repulsive coupling strength. For aging transition through inhomogeneous steady state phase transition is quite dramatic. It follows a discontinuous jump in the order parameter mediated by the inhomogeneous steady state. We also show that depending upon distinct coupling ranges, aging transition happens without a single inactive oscillator due to presence of inhomogneous steady state. We also study the bifurcations responsible for such complex aging transition phenomena.

Suggested Citation

  • Sharma, Amit & Rakshit, Biswambhar, 2022. "Dynamical robustness in presence of attractive-repulsive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
  • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000340
    DOI: 10.1016/j.chaos.2022.111823
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922000340
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.111823?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. Takeyuki Sasai & Kai Morino & Gouhei Tanaka & Juan A Almendral & Kazuyuki Aihara, 2015. "Robustness of Oscillatory Behavior in Correlated Networks," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-21, April.
    2. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(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. Zhao, Nannan & Sun, Zhongkui & Song, Xueli & Xiao, Yuzhu, 2022. "Amplitude death in multiplex networks with competing attractive and repulsive interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

    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. Liu, Yuanyuan & Sun, Zhongkui & Yang, Xiaoli & Xu, Wei, 2021. "Dynamical robustness and firing modes in multilayer memristive neural networks of nonidentical neurons," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    2. Biswas, Dhrubajyoti & Gupta, Sayan, 2024. "Symmetry-breaking higher-order interactions in coupled phase oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Mendola, Naveen Kumar & Thounaojam, Umeshkanta Singh, 2024. "Collective rotation-flips and explosive synchronization in a ring of limit cycle oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 180(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:chsofr:v:156:y:2022:i:c:s0960077922000340. 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.