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Type: Journal article
Title: Control effects of Morlet wavelet term on Weierstrass-Mandelbrot function model
Author: Zhang, L.
Liu, S.
Yu, C.
Citation: Indian Journal of Physics, 2014; 88(8):867-874
Publisher: Springer
Issue Date: 2014
ISSN: 0973-1458
Statement of
L. Zhang, S.T. Liu and C. Yu
Abstract: In this paper, we have investigated the control problem of the Weierstrass-Mandelbrot function model with Morlet wavelet term. Based on the corollary for its convergence, we have formulated several theorems about the monotonous effects of Morlet wavelet term on scope of the series. In addition, effects of Morlet wavelet term on two important statistical characteristics: multifractality and Hurst exponent have been calculated. We have used simulation examples to illustrate the control effects.
Keywords: Control; fractal; wavelet
Rights: © 2014 IACS
RMID: 0030073952
DOI: 10.1007/s12648-014-0497-3
Appears in Collections:Physics publications

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