Calculation of Correlation Dimension Based on Optimized G-P Algorithm
FANG Ruowang
HE Yuelei
LI Zaiwei
LU Hongyao
ZHAO Yanxu
Abstract：In order to solve problems in the study of the mainstream algorithm G-P algorithm of chaotic associated dimension,including the cycle structure of the phase space and distance matrix,the relevant parameter selection is not properly affected,and the Heaviside step function determines redundant,etc.,an improved G-P algorithm is proposed.The algorithm is optimized in prin-ciple and repetition calculation,and operates a subsequent matrix on the basis of the original matrix and sorts the distance matrix to avoid cyclic judgment,which greatly reduces the calculation cycle.It makes decisions to the related parameters,and makes the con-clusion strictly.The non-scaling section of the double logarithmic image is determined by the Taylor grade method,making it more intuitive.Subsequently,the system data is used for case analysis,the results of simulation also prove the accuracy of the improved algorithm.
Keywords：chaosphase space reconstructioncorrelation dimensionalgorithmic optimizationG-P algorithm
Publication Date：2024-05-20
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 1270-1274 )