B-ZCNN的混沌边缘和局部活性域

EDGE OF CHAOS AND LOCAL ACTIVITY DOMAIN OF B-Z CNN

将由Zhabotinski反应扩散方程对应的非线性细胞网络方程称为B ZCNN ,应用局部活性理论中关于两个状态变量的反应扩散CNNs的结果 ,讨论计算了B ZCNN的局部活性域和混沌边缘域 ,因此确定了该系统可能出现的复杂性动力学行为的系统参数的范围。取处在混沌边缘域内系统参数点进行模拟 ,得到了嵌套式目标斑图等时空有序结构。最后指出局部活性是成矿发生的必要条件 ,研究成矿发生应该从成矿系统参数域的局部活性研究入手。

We call the cellular nonlinear network equation corresponding to the reaction diffusion equation given by Zhabotinski as B Z CNN. By the results of reaction diffusion CNNs of two state variables in the local activity theory, we investigated and computed the edge of chaos and local activity domain of B Z CNN, so the parameter range in which complexity may probably emerge has been determined. We simulated the system by choosing parameters in the domain of the edge of chaos and got temporal spacial formations like the nested target patterns of it. At last we pointed out that local activity is the necessary condition for the onset of ore forming.