Wavelet decomposition for detection of chaotic characteristics of monthly precipitation at Mokpo, Korea
Jin, Young Hoon ; Berndtsson, Ronny LU
and Park, Sung Chun
(2005)
31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges
p.429-437
- Abstract
In the present study, we apply deterministic chaos theory to investigate nonlinear dynamics in monthly precipitation at Mokpo, Korea, after wavelet decomposition. The wavelet transform is used not only for removal of noise but also for extraction of low and high frequency components in the data, representing low-dimensional dynamics. In order to determine an appropriate decomposition level for the wavelet transform, a correlation dimension analysis is applied for the respective low and high frequency signals after successive decomposition. The wavelet decomposition is performed up to 5th-level with orthogonal and compactly supported wavelets. Consequently, a long-term approximation (low frequency) and a short-term detail... (More)
In the present study, we apply deterministic chaos theory to investigate nonlinear dynamics in monthly precipitation at Mokpo, Korea, after wavelet decomposition. The wavelet transform is used not only for removal of noise but also for extraction of low and high frequency components in the data, representing low-dimensional dynamics. In order to determine an appropriate decomposition level for the wavelet transform, a correlation dimension analysis is applied for the respective low and high frequency signals after successive decomposition. The wavelet decomposition is performed up to 5th-level with orthogonal and compactly supported wavelets. Consequently, a long-term approximation (low frequency) and a short-term detail (high frequency) time series for the monthly precipitation obtained after 5th-level decomposition are investigated in terms of deterministic chaos theory. The data sets with low/high frequency components filtered by the wavelet transform are used for three-dimensional phase space analysis, respectively. Results show that both low and high frequency signals include clear chaotic signals and, therefore, might be governed by underlying dynamics based on different frequencies, respectively.
(Less)
- author
- Jin, Young Hoon
; Berndtsson, Ronny
LU
and Park, Sung Chun
- organization
- publishing date
- 2005
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- Correlation dimension, Deterministic chaos theory, Phase space, Wavelet transform
- host publication
- 31st IAHR Congress 2005 : Water Engineering for the Future, Choices and Challenges - Water Engineering for the Future, Choices and Challenges
- editor
- Byong-Ho, Jun ; Sang, Il Lee ; Won, Seo Il and Gye-Woon, Choi
- pages
- 9 pages
- publisher
- Korea Water Resources Association
- conference name
- 31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges
- conference location
- Seoul, Korea, Republic of
- conference dates
- 2005-09-11 - 2005-09-16
- external identifiers
-
- scopus:85084761796
- ISBN
- 8987898245
- 9788987898247
- language
- English
- LU publication?
- yes
- additional info
- Funding Information: Y.-H. Jin gratefully acknowledges financial support from the Swedish Institute for this study. R. Berndtsson acknowledges financial support from the Swedish Science Research Council. Publisher Copyright: © 31st IAHR Congress 2005: Water Engineering for the Future, Choices and Challenges. All Rights Reserved.
- id
- 94039089-2c66-4f08-a449-6fcea69d55a9
- date added to LUP
- 2022-11-11 14:18:57
- date last changed
- 2022-11-14 13:41:43
@inproceedings{94039089-2c66-4f08-a449-6fcea69d55a9,
abstract = {{<p>In the present study, we apply deterministic chaos theory to investigate nonlinear dynamics in monthly precipitation at Mokpo, Korea, after wavelet decomposition. The wavelet transform is used not only for removal of noise but also for extraction of low and high frequency components in the data, representing low-dimensional dynamics. In order to determine an appropriate decomposition level for the wavelet transform, a correlation dimension analysis is applied for the respective low and high frequency signals after successive decomposition. The wavelet decomposition is performed up to 5<sup>th</sup>-level with orthogonal and compactly supported wavelets. Consequently, a long-term approximation (low frequency) and a short-term detail (high frequency) time series for the monthly precipitation obtained after 5<sup>th</sup>-level decomposition are investigated in terms of deterministic chaos theory. The data sets with low/high frequency components filtered by the wavelet transform are used for three-dimensional phase space analysis, respectively. Results show that both low and high frequency signals include clear chaotic signals and, therefore, might be governed by underlying dynamics based on different frequencies, respectively.</p>}},
author = {{Jin, Young Hoon and Berndtsson, Ronny and Park, Sung Chun}},
booktitle = {{31st IAHR Congress 2005 : Water Engineering for the Future, Choices and Challenges}},
editor = {{Byong-Ho, Jun and Sang, Il Lee and Won, Seo Il and Gye-Woon, Choi}},
isbn = {{8987898245}},
keywords = {{Correlation dimension; Deterministic chaos theory; Phase space; Wavelet transform}},
language = {{eng}},
pages = {{429--437}},
publisher = {{Korea Water Resources Association}},
title = {{Wavelet decomposition for detection of chaotic characteristics of monthly precipitation at Mokpo, Korea}},
year = {{2005}},
}