IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924001395.html
   My bibliography  Save this article

Collective rotation-flips and explosive synchronization in a ring of limit cycle oscillators

Author

Listed:
  • Mendola, Naveen Kumar
  • Thounaojam, Umeshkanta Singh

Abstract

This paper reports a novel dynamical phenomenon of collective rotation-flips of limit cycle oscillators, which gives rise to explosive synchronization. In this dynamical phenomenon, coupled heterogeneous limit cycle oscillators rotating in an anti-clockwise (or clockwise) direction converge to a unified collective frequency through a sudden change in the direction of rotations. Our demonstration occurs in a system of Stuart-Landau oscillators interconnected unidirectionally with a time delay on a ring topology. We analyse the rotation flips by computing the effective frequencies of the oscillators and quantify the onset of explosive synchronization through macroscopic order parameters. Remarkably, despite the irregular dynamics of the coupled heterogeneous oscillators, we find stable frequency-locked limit cycles spanning a wide parameter range of delay and coupling strength.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001395
    DOI: 10.1016/j.chaos.2024.114588
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924001395
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114588?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. Jing Yan & Moses Bloom & Sung Chul Bae & Erik Luijten & Steve Granick, 2012. "Linking synchronization to self-assembly using magnetic Janus colloids," Nature, Nature, vol. 491(7425), pages 578-581, November.
    2. Stefan Kuhn & Benjamin A. Stickler & Alon Kosloff & Fernando Patolsky & Klaus Hornberger & Markus Arndt & James Millen, 2017. "Optically driven ultra-stable nanomechanical rotor," Nature Communications, Nature, vol. 8(1), pages 1-5, December.
    3. Leon Glass, 2001. "Synchronization and rhythmic processes in physiology," Nature, Nature, vol. 410(6825), pages 277-284, March.
    4. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    5. Thounaojam, Umeshkanta Singh, 2021. "Explosive synchronization in bipartite networks," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Thounaojam, Umeshkanta Singh & Manchanda, Kaustubh, 2023. "Continuous and explosive synchronization of phase oscillators on star network: Effect of degree-frequency correlations and time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    7. Y. Couder & S. Protière & E. Fort & A. Boudaoud, 2005. "Walking and orbiting droplets," Nature, Nature, vol. 437(7056), pages 208-208, September.
    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. Thounaojam, Umeshkanta Singh & Manchanda, Kaustubh, 2023. "Continuous and explosive synchronization of phase oscillators on star network: Effect of degree-frequency correlations and time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Igor Belykh & Mateusz Bocian & Alan R. Champneys & Kevin Daley & Russell Jeter & John H. G. Macdonald & Allan McRobie, 2021. "Emergence of the London Millennium Bridge instability without synchronisation," Nature Communications, Nature, vol. 12(1), pages 1-14, December.
    3. Maxime Hubert & Stéphane Perrard & Nicolas Vandewalle & Matthieu Labousse, 2022. "Overload wave-memory induces amnesia of a self-propelled particle," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    4. Ricardo Bioni Liberalquino & Maurizio Monge & Stefano Galatolo & Luigi Marangio, 2018. "Chaotic Itinerancy in Random Dynamical System Related to Associative Memory Models," Mathematics, MDPI, vol. 6(3), pages 1-10, March.
    5. Robert G. Sacco, 2019. "The Predictability of Synchronicity Experience: Results from a Survey of Jungian Analysts," International Journal of Psychological Studies, Canadian Center of Science and Education, vol. 11(3), pages 1-46, September.
    6. Alexey V. Rusakov & Dmitry A. Tikhonov & Nailya I. Nurieva & Alexander B. Medvinsky, 2021. "Emergence of Self-Organized Dynamical Domains in a Ring of Coupled Population Oscillators," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
    7. Meo, Marcos M. & Iaconis, Francisco R. & Del Punta, Jessica A. & Delrieux, Claudio A. & Gasaneo, Gustavo, 2024. "Multifractal information on reading eye tracking data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    8. Reis, A.S. & Brugnago, E.L. & Viana, R.L. & Batista, A.M. & Iarosz, K.C. & Ferrari, F.A.S. & Caldas, I.L., 2023. "The role of the fitness model in the suppression of neuronal synchronous behavior with three-stage switching control in clustered networks," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    9. Gois, Sandra R.F.S.M. & Savi, Marcelo A., 2009. "An analysis of heart rhythm dynamics using a three-coupled oscillator model," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2553-2565.
    10. Sharma, Amit & Rakshit, Biswambhar, 2022. "Dynamical robustness in presence of attractive-repulsive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    11. Ausloos, Marcel & Nedic, Olgica & Dekanski, Aleksandar, 2016. "Day of the week effect in paper submission/acceptance/rejection to/in/by peer review journals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 456(C), pages 197-203.
    12. Piassi, V.S.M. & Colli, E. & Tufaile, A. & Sartorelli, J.C., 2009. "Arnold family in acoustically forced air bubble formation," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1041-1049.
    13. Cazelles, Bernard & Chavez, Mario & Courbage, Maurice, 2012. "Editorial," Chaos, Solitons & Fractals, Elsevier, vol. 45(5), pages 1-1.
    14. Feng-Sheng Tsai & Yi-Li Shih & Chin-Tzong Pang & Sheng-Yi Hsu, 2019. "Formulation of Pruning Maps with Rhythmic Neural Firing," Mathematics, MDPI, vol. 7(12), pages 1-15, December.
    15. Cornejo-Pérez, O. & Solı´s-Perales, G.C. & Arenas-Prado, J.A., 2012. "Synchronization dynamics in a small pacemaker neuronal ensemble via a robust adaptive controller," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 861-868.
    16. Koronovskii, Alexey A. & Moskalenko, Olga I. & Ponomarenko, Vladimir I. & Prokhorov, Mikhail D. & Hramov, Alexander E., 2016. "Binary generalized synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 133-139.
    17. Malbor Asllani & Paul Expert & Timoteo Carletti, 2018. "A minimally invasive neurostimulation method for controlling abnormal synchronisation in the neuronal activity," PLOS Computational Biology, Public Library of Science, vol. 14(7), pages 1-18, July.
    18. Thounaojam, Umeshkanta Singh, 2021. "Explosive synchronization in bipartite networks," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    19. Mengsen Zhang & J A Scott Kelso & Emmanuelle Tognoli, 2018. "Critical diversity: Divided or united states of social coordination," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-19, April.
    20. Weng, Tongfeng & Chen, Xiaolu & Ren, Zhuoming & Yang, Huijie & Zhang, Jie & Small, Michael, 2023. "Synchronization of multiple mobile reservoir computing oscillators in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 177(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:180:y:2024:i:c:s0960077924001395. 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.