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基于低阶矩阵最大特征值的复杂网络牵制混沌同步
  • ISSN号：1000-3290
  • 期刊名称：Acta Physica Sinica
  • 时间：2012
  • 页码：532-539
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]大连理工大学电子信息与电气工程学部,大连116024, [2]伊犁师范学院电子与信息工程学院,伊宁835000
  • 相关基金：国家自然科学基金（批准号：61173183 60573172 60973152）; 高等学校博士学科点专项科研基金（批准号：20070141014）; 辽宁省自然科学基金（批准号：20082165）资助的课题
  • 相关项目：高维系统混沌特性及其符号动力学同步方法的研究
作者： 梁义|王兴元|
关键词： 复杂网络, 牵制同步, 主子阵, complex networks, pinning synchronization, the principal sub-matrix
中文摘要：

虽已对复杂网络牵制同步需要牵制结点数量及牵制结点数量与耦合强度的关系进行了研究,然而快速计算牵制结点数量仍是大规模复杂网络面临的一个重要问题.研究发现了复杂网络耦合矩阵主子阵最大值递减规律,由此提出了快速计算复杂网络牵制结点数量的方法,揭示了不同的牵制策略与牵制结点数量之间的关系.数值仿真显示了在无标度网络和小世界网络上三种不同的牵制策略下,牵制结点数与主子阵最大特征值的变化规律;最后给出了一个在无标度网络上采用随机选择结点策略的牵制同步实例.

英文摘要：

In this paper,we find the decreasing law of maximum eigenvalue of the principal sub-matrix for coupling matrix,propose a method of calculating quickly pinning nodes in complex networks,and reveal the relation between the pinning strategy and the number pinning nodes.Numerical simulations show the trends of evolution under the conditions of three pinning strategies in a scale-free network and a small world,and the effectiveness of the pinning synchronization by selecting pining nodes randomly in a scale-free network.

同期刊论文项目
M-J分形发生学及M-J集在物理学中的应用研究
期刊论文 55
几种典型的混沌保密通信方案的研究
期刊论文 145 会议论文 6 专利 3 著作 1
高维系统混沌特性及其符号动力学同步方法的研究
期刊论文 172 获奖 14 著作 2
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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 被引量:49876