非线性网络结中的局域模和双稳态散射
Localized modes and bistable scattering in nonlinear network junctions
摘要：
我们研究了线性离散网络的N个相同分支交叉所产生的结点的性质。我们发现，对于N>2这样的结创建一个拓扑缺陷，并支持两种类型的空间局域模式。我们分析了结缺陷的波散射，并证明了任何参数的非零反射。如果结是非线性的，则可以通过调谐散射波的强度来实现对任何频率的最大透射。此外，在最大透射率附近，系统显示出双稳态行为。
英文摘要：
We study the properties of junctions created by crossing of N identical branches of linear discrete networks. We reveal that for N>2 such a junction creates a topological defect and supports two types of spatially localized modes. We analyze the wave scattering by the junction defect and demonstrate nonzero reflection for any set of parameters. If the junction is nonlinear, it is possible to achieve the maximum transmission for any frequency by tuning the intensity of the scattering wave. In addition, near the maximum transmission the system shows the bistable behaviour.
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