2024/05/25 by Ayushi Suman, Suman, Ayushi, Sarika Jalan +1
Computer Science · #Adaptation and Self-Organizing Systems (nlin.AO) #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.2405.16049
openalex publication_date 2024/05/25 · openalex created_date 2024/05/30 · openalex updated_date 2026/07/28
Finite-size systems of Kuramoto model display intricate dynamics, especially in the presence of multi-stability where both coherent and incoherent states coexist. We investigate such scenario in globally coupled populations of Kuramoto phase oscillators with higher-order interactions, and observe that fluctuations inherent to finite-size systems drives the transition to the synchronized state occurring before the critical point in the thermodynamic limit. Using numerical methods, we plot the first exit time distribution of the magnitude of complex order parameter and obtain numerical transition probabilities across various system sizes. Further, we extend this study to a two-population oscillator system, and using velocity field of the associated order parameters, show the emergence of a new fixed point corresponding to a partially synchronized state arising due to the finite-size effect which is absent in the thermodynamics limit.