DocumentCode :
3215791
Title :
A Relational Dimension Based Fractal Interpolation Algorithm for Chaotic Time Serials Modeling
Author :
Chong Fu ; Ying-yu Cao ; Zhen-chuan Zhang
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
fYear :
2006
fDate :
7-11 Aug. 2006
Firstpage :
308
Lastpage :
311
Abstract :
This paper proposes a relational dimension based fractal interpolation algorithm for complex system chaotic time serials modeling, which resolves the disadvantage of the traditional random distribution model that the system space-time evolution rules can not be precisely described due to the unnecessary added degree of freedom. The Internet traffic is used as analysis object, the phase space is reconstructed and the system optimal delay is determined by auto correlation function. The system relational dimension is calculated out by saturation embedded dimension analysis and based on which the Hurst exponent of the system is gained. The chaotic time serials are reconstructed by using fractal Brown motion interpolation algorithm, which establishes a nonlinear model for precisely describing a chaotic system evolution process.
Keywords :
chaos; fractals; interpolation; large-scale systems; modelling; Hurst exponent; Internet traffic; auto correlation function; chaotic system evolution process; chaotic time serial modeling; complex system; fractal Brown motion interpolation; nonlinear model; phase space reconstruction; saturation embedded dimension analysis; space-time evolution rules; system optimal delay; system relational dimension; Autocorrelation; Chaos; Delay systems; Electronic mail; Fractals; Information science; Internet; Interpolation; Tail; Traffic control; Hurst exponent; chaotic system; fractal interpolation; relational dimension;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
Type :
conf
DOI :
10.1109/CHICC.2006.280976
Filename :
4060524
Link To Document :
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