铜锌铝合金表面非线性振荡的混沌相关性  

Chaotic Correlation of Nonlinear Oscillation on Cu-Zn-Al Alloy Surface

作　　者：高后秀[1] 温榜[1] 张贵杰[1] 

机构地区：[1]天津大学材料科学与工程学院,天津300072

出　　处：《天津大学学报》2006年第4期507-510,共4页Journal of Tianjin University(Science and Technology)

基　　金：天津市自然科学基金重点资助项目(003805611)天津市自然科学基金资助项目(033610611)南开大学-天津大学刘徽应用数学中 心资助项目(T13).

摘　　要：为揭示铜锌铝合金表面非线性振荡花样出现的原因,探索振荡胞区中各个点在振荡过程中的相互关系, 应用非线性动力学的方法来处理从振荡胞区中提取的灰度值时间序列,计算出各序列之间的相关系数．胞区中各个点的相关系数均大于0．7,并且相距较远的2个点之间的相关系数达到0．933,振荡胞区中的点的运动是长程相关的．在长程相关性的基础上,结合耗散结构理论探讨了“类流态”胞区出现的原因,认为振荡胞区的形成是一个从混沌到有序的过程．To explain the nonlinear pattern appearing on the surface of Cu-Zn-Al alloy and to find the correlations of the movements of oscillation points in nonlinear oscillation cell, the gray value time series got from the oscillation cell was treated by using nonlinear dynamics method. The correlation coefficients between each pair of time series were figured out. They are all bigger than 0.7 and the special one between two remote points is 0. 933. The movements of all the points in the oscillation cell are correlative, some are long-distance correlative. Based on the long-distance correlation of oscillation points, the mechanism of quasi-fluid phenomenon is preliminary discussed by adopting dissipative structure theory. The formation of oscillation cell is a course from chaos to order.

关 键 词：非线性振荡 长程相关性 类流态 混沌 相关系数 

分 类 号：TG132.1[一般工业技术—材料科学与工程] O212.3[金属学及工艺—合金]