摘要
基于Lyapunov稳定性理论,分析了一种实现节点结构互异的复杂网络的混沌同步方法.以异结构混沌系统作为节点构造复杂网络,确定了复杂网络中连接节点的耦合函数的形式.最后,以Lorenz系统、Chen系统、Liu系统为例作为网络的节点构成复杂网络,进行数值仿真,发现整个复杂网络存在稳定的混沌同步现象,验证了结论的可靠性.
Based on Lyapunov stability theorem, the method for chaos synchronization of complex networks with different node structure is analyzed. The different structure chaotic systems are taken as nodes to construct complex networks, and the coupling function of complex networks are given. Finally, the result of numerical calculation for the whole networks with Lorenz system,Chen system and Liu system as nodes shows that the theorem is reliable.
出处
《兰州交通大学学报》
CAS
2011年第4期124-127,共4页
Journal of Lanzhou Jiaotong University
基金
国家自然科学基金(60870008)
甘肃省自然科学基金(3ZS051-A25-030
3ZS-042-B25-049
0803RJZA012
1010RJZA067)
甘肃省高校科研基金(620004)
关键词
复杂网络
混沌同步
异结构
complex network
chaos synchronization
different structure