Behaviour of Daily River Flow: Chaotic?

被引:2
作者
Adenan, Nur Hamiza [1 ]
Noorani, Mohd Salmi Md [2 ]
机构
[1] Sultan Idris Educ Univ, Dept Math, Fac Sci & Math, Tanjong Malim 35900, Perak Dr, Malaysia
[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Bangi 43600, Malaysia
来源
PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM20): RESEARCH IN MATHEMATICAL SCIENCES: A CATALYST FOR CREATIVITY AND INNOVATION, PTS A AND B | 2013年 / 1522卷
关键词
Average Mutual Information; chaotic behaviour; correlation dimension; false nearest neighbors; PHASE-SPACE RECONSTRUCTION; TIME-SERIES; DIMENSION;
D O I
10.1063/1.4801127
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study was conducted to provide evidence of the chaotic behavior of the daily river flow data at Lubuk Paku station on the Pahang River in the Pahang River Basin in Malaysia. Four nonlinear dynamic methods are employed: (1) phase space reconstruction; (2) average mutual information algorithm; (3) false nearest neighbors algorithm; and (4) correlation dimension method. First, average mutual information method is used to determine a first minimum of delay time. Second, the sufficient embedding dimension is estimated using the false nearest neighbour algorithm. The time delay and sufficient dimension are used in phase space reconstruction. The presence of chaos in river flow has been analyzed through the correlation dimension method. The correlation dimension is less than 3. Hence, we can conclude that low correlation dimension presence by examined river flow time series data Lubuk Paku station on the Pahang River, Malaysia.
引用
收藏
页码:221 / 228
页数:8
相关论文
共 22 条