Swarmalators on a Ring With Asymmetric Frustration
Fengling Jiang, Hua Zhang · 2025
This study investigates a mobile oscillator system, called swarmalators, that couples spatial dynamics with phase dynamics. Departing from previous models characterized by high symmetry, we introduce sinusoidal frustration to break system symmetry, which leads to the emergence of a novel phase-locked state unobserved in prior studies of two-dimensional systems. This state may offer new insights into the behavior of neuronal populations achieving phase-locking within finite time intervals. Our findings demonstrate that the incorporation of frustration grants the system tunable phase transition capabilities between disordered and ordered states. Specifically, targeted state regulation within defined parameter spaces can be achieved through frustration parameter modulation. The proposed model may provide new perspectives for characterizing and understanding the external manifestations and internal driving mechanisms underlying collective behaviors in natural systems.