二层网络中多路复用引起的小费现象
Tipping induced by multiplexing on two layer networks
摘要：
我们报告的研究突然过渡或小费在一个集合的系统诱导由于多路复用与另一个网络的系统。由于与共享环境的间接耦合、平均场耦合和共扼耦合，一层振子的涌现动力学可以经历突然的稳态跃迁。在所有这些情况下，当与另一组类似的系统复用时，在第二层上也以类似的行为模式诱导倾倒现象。我们认为van der Pol振荡器节点动力学与各种网络拓扑结构，如无标度和定期网络与本地和非本地耦合。我们还报告了耦合拓扑结构如何影响这两个层上的过渡的性质，根据复用。
英文摘要：
We report the study of sudden transitions or tipping in a collection of systems induced due to multiplexing with another network of systems. The emergent dynamics of oscillators on one layer can undergo a sudden transition to steady state due to indirect coupling with a shared environment, mean field couplings and conjugate couplings among them. In all these cases, when multiplexed with another set of similar systems, the tipping phenomena are induced on the second layer also with a similar pattern of behaviour. We consider van der Pol oscillator as nodal dynamics with various network topologies like scale free and regular networks with local and nonlocal couplings. We also report how the coupling topology influences the nature of transitions on both layers, under multiplexing.
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