耦合振子集合种群网络中迁移率和密度诱导的振幅死亡
Mobility and density induced amplitude death in metapopulation networks of coupled oscillators
摘要：
我们研究了迁移率和密度对集合种群网络中耦合振子振幅死亡的影响，其中每个节点代表一个具有任意数量移动个体的亚种群。我们对无标度网络中与Landau-Stuart振子相关的动态反应扩散过程进行了随机模拟。有趣的是，我们发现，随着迁移率或密度的增加，系统可能经历从非相干态到振幅死亡，然后到频率同步的相变。特别是，存在一定程度的中间迁移率和密度导致全局振子死亡。此外，我们证明了这种非平凡的现象是强大的不同的网络拓扑结构。我们的研究结果可能会引起人们对集合种群耦合系统中集体行为的进一步研究。
英文摘要：
We investigate the effects of mobility and density on the amplitude death of coupled oscillators in metapopulation networks, wherein each node represents a subpopulation with any number of mobile individuals. We perform stochastic simulations of the dynamical reaction-diffusion processes associated with the Landau-Stuart oscillators in scale-free networks. Interestingly, we find that, with increasing the mobility rate or density, the system may undergo phase transitions from incoherent state to amplitude death, and then to frequency synchronization. Especially, there exists an extent of intermediate mobility rate and density leading to global oscillator death. In addition, we show this nontrivial phenomenon is robust to different network topologies. Our findings may invoke further efforts and attentions to explore the underlying mechanism of collective behaviors in metapopulation coupled systems.
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