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中国物理学会期刊

耦合非线性振子系统的同步研究

CSTR: 32037.14.aps.53.3287

Synchronization of coupled limit-cycle systems

CSTR: 32037.14.aps.53.3287
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  • 研究了考虑振子振幅效应的耦合极限环系统的同步.研究表明,耦合极限环系统的序参量随耦合强度的增加呈现非单调变化,并且出现若干不可微的点;平均频率随耦合强度的变化过程表现为同步分岔树结构;在临界点处出现了相速度的滑移、锁定和相速度差的开关阵发现象,开关阵发的平均周期具有很好的标度关系;振子的平均振幅随相同步的进程实际上是由均匀化逐渐分岔而达到非均匀化的过程,振子振幅的变化范围在临界点处突然减小.

     

    Synchronizations in coupled limitcycle systems are studied. The order parameter does not change monotonically with increasing coupling. Phase synchronization among oscillators shows a treelike bifurcation, and a number of clustered states are experienced. At the onset of synchronization, simultaneous phase slips of all oscillators and quantized phase shifts are observed. The phase synchronization bifurcation is accompanied by a bifurcation process of the amplitudes of oscillators, that is, the synchronization of phases corresponds to an inhomogeneou sprocess of amplitudes.

     

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