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网络上复杂耦合系统的同步
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O177[理学—数学;理学—基础数学]
  • 作者机构：[1]哈尔滨工业大学威海数学系,威海264209
  • 相关基金：国家自然科学基金资助项目（11301112;11171081;11171056）;山东省自然科学基金（青年基金）资助项目（ZR2013AQ003）
作者： 丰俊妍[1], 李文学[1], 王克[1]
关键词： 耦合系统, 同步, 指数同步, 图论, LYAPUNOV函数, coupled systems , synchronization , exponential synchronization , graph theory , Lya-punov function
中文摘要：

研究网络上复杂耦合系统的同步性问题。将复杂耦合系统建立在一个有向图上,用图论中的方法研究复杂耦合系统的同步性。运用图论给出构造网络上复杂耦合系统Lyapunov函数的方法,利用得到的Lyapunov函数,分别给出两个耦合动力系统同步和指数同步的充分条件。这些充分条件与用来描述驱动系统与响应系统的有向图的拓扑结构密切相关。

英文摘要：

The synchronization of complex coupled systems on networks is investigated. The complex coupled systems on networks are first described as a directed graph, then the synchronization of complex coupled systems on networks is studied by the graph theory. A systematic method for constructing a global Lyapunov function for the complex coupled systems on networks is provided by using the results from graph theory. And by using the Lyapunov function constructed, some sufficient conditions of synchroniza- tion and exponential synchronization are obtained, which have close relation to the topology property of the corresponding directed graph of the drive systems and response systems.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204