| 连接增加对网络同步能力的影响 |
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| 引用本文： | 马忠军,王毅.连接增加对网络同步能力的影响[J].合肥工业大学学报(自然科学版),2010,33(4). |
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| 作者姓名： | 马忠军 王毅 |
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| 作者单位： | 1. 桂林电子科技大学数学与计算科学学院,广西,桂林,541004
2. 浙江财经学院数学与统计学院,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金，广西教育厅科学研究项目 |
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| 摘 要： | 文章运用矩阵理论,证明了无向网络对应耦合矩阵的第二大特征值随正耦合的增加(或加强)而不增这一性质。由耦合矩阵第二大特征值与网络同步能力之间的关系可知,同步区域无界的无向连通网络增加(或加强)正耦合后,其同步能力可能增强,也可能保持不变;增加(或加强)负耦合后,其同步能力可能降低,也可能保持不变。用几种具体网络验证了结果的正确性,数值计算结果表明,同步区域有界网络一般不具有这个性质。
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| 关 键 词： | 复杂网络 耦合矩阵 特征值 同步能力 |
Effect of increasing links on the synchronizability of network |
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| MA Zhong-jun,WANG Yi.Effect of increasing links on the synchronizability of network[J].Journal of Hefei University of Technology(Natural Science),2010,33(4). |
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| Authors: | MA Zhong-jun WANG Yi |
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| Abstract: | Based on matrix theory,it is proved that the second largest eigenvalue of the coupling matrix which corresponds to undirected network maintains as the positive couplings increase or enhance.This property suggests that,if the positive (negative) couplings increase or enhance,synchronizability in a network with limitless synchronization region becomes stronger (weaker) or maintains.The validity of the result is illustrated by certain networks and the network with limited synchronization region usually does not possess the said property. |
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| Keywords: | complex network coupling matrix eigenvalue synchronizability |
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