多层单向耦合星形网络的特征值谱及同步能力分析
发布时间：2019-07-01 16:33
【摘要】：随着复杂网络同步的进一步发展,对复杂网络的研究重点由单层网络转向更加接近实际网络的多层有向网络.本文分别严格推导出三层、多层的单向耦合星形网络的特征值谱,并分析了耦合强度、节点数、层数对网络同步能力的影响,重点分析了层数和层间中心节点之间的耦合强度对多层单向耦合星形网络同步能力的影响,得出了层数对多层网络同步能力的影响至关重要.当同步域无界时,网络的同步能力与耦合强度、层数有关,同步能力随其增大而增强;当同步域有界时,对于叶子节点向中心节点耦合的多层星形网络,当层内耦合强度较弱时,层内耦合强度的增大会使同步能力增强,而层间叶子节点之间的耦合强度、层数的增大反而会使同步能力减弱;当层间中心节点之间的耦合强度较弱时,层间中心节点之间的耦合强度、层数的增大会使同步能力增强,层内耦合强度、层间叶子节点之间的耦合强度的增大反而会使同步能力减弱.对于中心节点向叶子节点耦合的多层星形网络,层间叶子节点之间的耦合强度、层数的增大会使同步能力增强,层内耦合强度、节点数、层间中心节点之间的耦合强度的增大反而会使同步能力减弱.
[Abstract]:With the further development of the complex network synchronization, the research on the complex network has focused on the multi-layer network with the single-layer network turning closer to the actual network. In this paper, the characteristic value spectrum of three-layer and multi-layer one-way coupling star network is derived, and the influence of the coupling strength, number of nodes and the number of layers on the network synchronization ability is analyzed. The influence of the coupling strength between the number of layers and the inter-layer center node on the synchronization ability of the multi-layer one-way coupling star network is analyzed, and the influence of the number of layers on the multi-layer network synchronization ability is obtained. when the synchronous domain is bounded, the synchronization capability of the network is enhanced with the increase of the coupling strength and the number of layers, the increase of the coupling strength in the layer increases the synchronization ability, while the increase of the coupling strength between the inter-layer leaf nodes increases the synchronization ability; when the coupling strength between the inter-layer center nodes is weak, the coupling strength between the inter-layer center nodes, The increase of the number of layers will increase the synchronization capability, the intra-layer coupling strength, and the increase in the coupling strength between the inter-layer leaf nodes, which will lead to a reduction in the synchronization capability. For a multi-layer star network coupled to a leaf node by a central node, the coupling strength between the inter-layer leaf nodes, the increase of the number of layers can increase the synchronization capability, the intra-layer coupling strength, the number of nodes, and the increase in the coupling strength between the inter-layer center nodes can reduce the synchronization capability.
【作者单位】： 省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学);河北省电磁场与电器可靠性重点实验室(河北工业大学);
【基金】：河北省自然科学基金(批准号:E2011202051)资助的课题~~
【分类号】：O157.5
本文编号：2508639
[Abstract]:With the further development of the complex network synchronization, the research on the complex network has focused on the multi-layer network with the single-layer network turning closer to the actual network. In this paper, the characteristic value spectrum of three-layer and multi-layer one-way coupling star network is derived, and the influence of the coupling strength, number of nodes and the number of layers on the network synchronization ability is analyzed. The influence of the coupling strength between the number of layers and the inter-layer center node on the synchronization ability of the multi-layer one-way coupling star network is analyzed, and the influence of the number of layers on the multi-layer network synchronization ability is obtained. when the synchronous domain is bounded, the synchronization capability of the network is enhanced with the increase of the coupling strength and the number of layers, the increase of the coupling strength in the layer increases the synchronization ability, while the increase of the coupling strength between the inter-layer leaf nodes increases the synchronization ability; when the coupling strength between the inter-layer center nodes is weak, the coupling strength between the inter-layer center nodes, The increase of the number of layers will increase the synchronization capability, the intra-layer coupling strength, and the increase in the coupling strength between the inter-layer leaf nodes, which will lead to a reduction in the synchronization capability. For a multi-layer star network coupled to a leaf node by a central node, the coupling strength between the inter-layer leaf nodes, the increase of the number of layers can increase the synchronization capability, the intra-layer coupling strength, the number of nodes, and the increase in the coupling strength between the inter-layer center nodes can reduce the synchronization capability.
【作者单位】： 省部共建电工装备可靠性与智能化国家重点实验室(河北工业大学);河北省电磁场与电器可靠性重点实验室(河北工业大学);
【基金】：河北省自然科学基金(批准号:E2011202051)资助的课题~~
【分类号】：O157.5
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1 蒋品群;罗晓曙;汪秉宏;柳继锋;;两种提高星形网络同步能力的方法比较[J];广西师范大学学报(自然科学版);2008年02期
2 李德奎;李玉龙;张建刚;;由两个星形网络构成的复杂动力学网络的同步能力比较[J];洛阳理工学院学报(自然科学版);2010年03期
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