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Phase-locking dynamics of heterogeneous oscillator arrays

Author

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  • Lepri, Stefano
  • Pikovsky, Arkady

Abstract

We consider an array of nearest-neighbor coupled nonlinear autonomous oscillators with quenched random frequencies and purely conservative coupling. We show that global phase-locked states emerge in finite lattices and study numerically their destruction. Upon change of model parameters, such states are found to become unstable with the generation of localized periodic and chaotic oscillations. For weak nonlinear frequency dispersion, metastability occur akin to the case of almost-conservative systems. We also compare the results with the phase-approximation in which the amplitude dynamics is adiabatically eliminated.

Suggested Citation

  • Lepri, Stefano & Pikovsky, Arkady, 2022. "Phase-locking dynamics of heterogeneous oscillator arrays," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010754
    DOI: 10.1016/j.chaos.2021.111721
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    References listed on IDEAS

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    1. Lepri, Stefano, 2020. "Chaotic fluctuations in graphs with amplification," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Trombettoni, A. & Nistazakis, H.E. & Rapti, Z. & Frantzeskakis, D.J. & Kevrekidis, P.G., 2009. "Soliton dynamics in linearly coupled discrete nonlinear Schrödinger equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 814-824.
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