2023/10/24 by Smith, Lauren D, Penghao Liu, Liu, Penghao
Computer Science · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #Nonlinear Dynamics and Pattern Formation #stochastic dynamics and bifurcation #Gene Regulatory Network Analysis
paper · pdf · doi:10.48550/arxiv.2310.15551
We determine critical parameter sets for transitions from gradual to explosive synchronization in coupled oscillator networks with higher-order coupling using self-consistency analysis. We obtain analytic bifurcation values for generic symmetric natural frequency distributions. We show that non-synchronized, drifting, oscillators are non-negligible, and play a crucial role in bifurcation. As such, the entire natural frequency distribution must be accounted for, rather than just the shape at the center. We verify our results for Lorentzian and Gaussian distributed natural frequencies.