Yoon S, Wright E A P, Mendes J F F, Goltsev A V
Department of Physics & I3N, University of Aveiro, 3810-193 Aveiro, Portugal.
A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.
Phys Rev E. 2021 Aug;104(2-1):024313. doi: 10.1103/PhysRevE.104.024313.
We studied the impact of field heterogeneity on entrainment in a system of uniformly interacting phase oscillators. Field heterogeneity is shown to induce dynamical heterogeneity in the system. In effect, the heterogeneous field partitions the system into interacting groups of oscillators that feel the same local field strength and phase. Based on numerical and analytical analysis of the explicit dynamical equations derived from the periodically forced Kuramoto model, we found that the heterogeneous field can disrupt entrainment at different field frequencies when compared to the homogeneous field. This transition occurs when the phase- and frequency-locked synchronization between groups of oscillators is broken at a critical field frequency, causing each group to enter a new dynamical state (disrupted state). Strikingly, it is shown that disrupted dynamics can differ between groups.
我们研究了场不均匀性对均匀相互作用相位振子系统中同步捕获的影响。结果表明，场不均匀性会在系统中诱发动力学不均匀性。实际上，不均匀场将系统划分为相互作用的振子组，这些振子组感受到相同的局部场强和相位。基于从周期性强迫的Kuramoto模型导出的显式动力学方程的数值和解析分析，我们发现与均匀场相比，不均匀场在不同场频率下会破坏同步捕获。当振子组之间的相位和频率锁定同步在临界场频率下被打破时，就会发生这种转变，导致每个组进入新的动力学状态（破坏状态）。引人注目的是，结果表明不同组之间的破坏动力学可能不同。
