發(fā)布時(shí)間：2019-07-01 16:33

【摘要】：隨著復(fù)雜網(wǎng)絡(luò)同步的進(jìn)一步發(fā)展,對(duì)復(fù)雜網(wǎng)絡(luò)的研究重點(diǎn)由單層網(wǎng)絡(luò)轉(zhuǎn)向更加接近實(shí)際網(wǎng)絡(luò)的多層有向網(wǎng)絡(luò).本文分別嚴(yán)格推導(dǎo)出三層、多層的單向耦合星形網(wǎng)絡(luò)的特征值譜,并分析了耦合強(qiáng)度、節(jié)點(diǎn)數(shù)、層數(shù)對(duì)網(wǎng)絡(luò)同步能力的影響,重點(diǎn)分析了層數(shù)和層間中心節(jié)點(diǎn)之間的耦合強(qiáng)度對(duì)多層單向耦合星形網(wǎng)絡(luò)同步能力的影響,得出了層數(shù)對(duì)多層網(wǎng)絡(luò)同步能力的影響至關(guān)重要.當(dāng)同步域無界時(shí),網(wǎng)絡(luò)的同步能力與耦合強(qiáng)度、層數(shù)有關(guān),同步能力隨其增大而增強(qiáng);當(dāng)同步域有界時(shí),對(duì)于葉子節(jié)點(diǎn)向中心節(jié)點(diǎn)耦合的多層星形網(wǎng)絡(luò),當(dāng)層內(nèi)耦合強(qiáng)度較弱時(shí),層內(nèi)耦合強(qiáng)度的增大會(huì)使同步能力增強(qiáng),而層間葉子節(jié)點(diǎn)之間的耦合強(qiáng)度、層數(shù)的增大反而會(huì)使同步能力減弱;當(dāng)層間中心節(jié)點(diǎn)之間的耦合強(qiáng)度較弱時(shí),層間中心節(jié)點(diǎn)之間的耦合強(qiáng)度、層數(shù)的增大會(huì)使同步能力增強(qiáng),層內(nèi)耦合強(qiáng)度、層間葉子節(jié)點(diǎn)之間的耦合強(qiáng)度的增大反而會(huì)使同步能力減弱.對(duì)于中心節(jié)點(diǎn)向葉子節(jié)點(diǎn)耦合的多層星形網(wǎng)絡(luò),層間葉子節(jié)點(diǎn)之間的耦合強(qiáng)度、層數(shù)的增大會(huì)使同步能力增強(qiáng),層內(nèi)耦合強(qiáng)度、節(jié)點(diǎn)數(shù)、層間中心節(jié)點(diǎn)之間的耦合強(qiáng)度的增大反而會(huì)使同步能力減弱.
[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.
【作者單位】： 省部共建電工裝備可靠性與智能化國家重點(diǎn)實(shí)驗(yàn)室(河北工業(yè)大學(xué));河北省電磁場與電器可靠性重點(diǎn)實(shí)驗(yàn)室(河北工業(yè)大學(xué));
【基金】：河北省自然科學(xué)基金(批準(zhǔn)號(hào):E2011202051)資助的課題~~
【分類號(hào)】：O157.5

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