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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.

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  • 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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