近邻耦合极限环振子的集体同步

Collective synchronization of nearest coupled limit-cycle oscillators

在不忽略极限环振子振幅变化的情况下 ,考察了具有自然频率分布的极限环振子的最近邻耦合 ,观察到一些具体现象 .适当选择自然频率的范围和耦合强度 ,通过序参数随时间的周期、准周期和混沌演化 ,可以看到耦合极限环的频率锁定 ,振幅死亡和不连贯等现象 .通过增大耦合强度 ,我们同时可以看到相同步的分岔树系列 .同时 。

The behaviors of coupled limit cycle oscillators each of which has a periodic motion with random natural frequency in the absence of coupling and is nearest coupled are investigated. Some cillective phenomena are revealed. Depending on the choice of coupling strength and the spread of natural frequencies, the sytem exhibits the frequency locking, amplitude death, and incoherence, as well as the unsteady behavior characterized periodic, quasi-periodic or chaotic evolution of the system's order parameter. By increasing the coupling strength, a bifurcation tree orders of phase synchronization can be found. We also can find the distribution of each amplitude.