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

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  • 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
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    References listed on IDEAS

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    1. Sharma, Amit, 2021. "Explosive synchronization through attractive-repulsive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    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. Thounaojam, Umeshkanta Singh, 2021. "Explosive synchronization in bipartite networks," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    5. 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).
    6. Y. Couder & S. Protière & E. Fort & A. Boudaoud, 2005. "Walking and orbiting droplets," Nature, Nature, vol. 437(7056), pages 208-208, September.
    7. 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.
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