Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/114767
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Type: | Journal article |
Title: | Control of Weierstrass–Mandelbrot function model with Morlet wavelets |
Author: | Zhang, L. Liu, S. Yu, C. |
Citation: | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2014; 24(10):1450121-1-1450121-9 |
Publisher: | World Scientific |
Issue Date: | 2014 |
ISSN: | 0218-1274 1793-6551 |
Statement of Responsibility: | Li Zhang, Shutang Liu, Chenglong Yu |
Abstract: | A Weierstrass–Mandelbrot function (WMF) model with Morlet wavelets is investigated. Its control relationships are derived quantitatively after proving the convergence of the controlled WMF model. Based on these relationships, it is shown that the scope of the WMF series increases with three parameters of the Morlet wavelets. But other parameters have opposite effect on the scope of the series. The results of simulated examples demonstrate the effectiveness of the control method. Moreover, two statistical characteristics of the series are obtained as the parameters change: One is multifractality of the series of the controlled WMF model, and the other is the Hurst exponent whose value stands for the long-time memory effect on the series. |
Keywords: | Control; Weierstrass–Mandelbrot function; Morlet wavelet; multifractality; Hurst exponent |
Rights: | © World Scientific Publishing Company |
DOI: | 10.1142/S0218127414501211 |
Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.