Morino Kai, Tanaka Gouhei, Aihara Kazuyuki
Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056208. doi: 10.1103/PhysRevE.83.056208. Epub 2011 May 9.
We consider the robustness of multilayer networks composed of active and inactive oscillators from the viewpoint of interlayer coupling effects through the aging transition [H. Daido and K. Nakanishi, Phys. Rev. Lett. 93, 104101 (2004)]. We show in detail that two-layer networks increase or decrease their robustness depending on interlayer coupling schemes compared with single-layer networks. In addition, we find that an increase of mismatches of oscillator types (active or inactive) among interlayer-connected oscillators reduces the robustness of the networks with mean-field, chain, and diffusive interlayer couplings in two-layer networks. Moreover, we discuss the robustness of networks with more than two layers.
我们从通过老化转变产生的层间耦合效应的角度，考虑由有源和无源振荡器组成的多层网络的鲁棒性[H. 大雄和K. 中西，《物理评论快报》93, 104101 (2004)]。我们详细表明，与单层网络相比，两层网络的鲁棒性会根据层间耦合方案而增加或降低。此外，我们发现层间连接的振荡器之间振荡器类型（有源或无源）不匹配的增加会降低两层网络中具有平均场、链式和扩散层间耦合的网络的鲁棒性。此外，我们还讨论了两层以上网络的鲁棒性。
