Bistability of patterns of synchrony in Kuramoto oscillators with inertia

摘要: We study the co-existence of stable patterns synchrony in two coupled populations identical Kuramoto oscillators with inertia. The have different sizes and can split into clusters where synchronize within a cluster while there is phase shift between dynamics clusters. Due to presence inertia, which increases dimensionality oscillator dynamics, this oscillate, inducing breathing pattern. derive analytical conditions for two-cluster constant oscillating shifts. demonstrate that governs bistability shifts, described by driven pendulum equation. also discuss implications our stability results chimeras.