摘要
0-1混沌测试法是根据线性增长率K(c)值是否趋近于1或0来判断离散数据混沌性的新方法。选取Verhulst种群模型生成的3类时间序列(弱混沌、完全混沌、4-周期)为研究对象,验证了0-1测试法的有效性,对0-1测试算法中振幅α作了进一步探讨。结果表明:弱混沌序列K(c)值对振幅α最敏感,其次分别是强混沌序列和周期序列,K(c)值随振幅α变化的快慢可以反映序列的混沌程度。
The 0-1 test method is a new method which through the determining discrete data transformationvariable’s linear growth rate K（c） approaches to 1 or 0 to judge whether discrete time series are chaotic or not.Selecting three kinds of time series （weak chaos, strong chaos and 4 period-doubling） generated by classic Verhulstpopulation model as the research object, the validity of the 0-1 test method is verified, and the amplitude α of the 0-1test algorithm is further discussed. The results show that the K（c） value of weak chaotic sequence is the mostsensitive to the amplitude α, followed by the strong chaotic sequence and the periodic sequence, the speed of declineof K（c） value changes with the amplitude can reflect the degree of chaos.
作者
熊绪沅
万丽
赖佳境
Xiong Xuyuan Wan Li Lai Jiajing(School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006,China)
出处
《湖南文理学院学报（自然科学版）》
CAS
2016年第4期35-39,共5页
Journal of Hunan University of Arts and Science(Science and Technology)
基金
国家自然科学基金项目(41172295)
