Estimating extreme low temperature threshold in the Ob River Basin based on the Detrended Fluctuation Analysis Method

2013 ◽  
Author(s):  
Juan Xue ◽  
Ziqiang Xia ◽  
Feng Huang
Keyword(s):  
Low Temperature ◽  
River Basin ◽  
Detrended Fluctuation Analysis ◽  
Fluctuation Analysis ◽  
Temperature Threshold ◽  
Analysis Method ◽  
Ob River ◽  
Detrended Fluctuation

Identification of Chaos-Periodic Transitions, Band Merging, and Internal Crisis Using Wavelet-DFA Method

2016 ◽  
Vol 26 (04) ◽  
pp. 1650065 ◽  
Author(s):  
Mahsa Vaghefi ◽  
Ali Motie Nasrabadi ◽  
Seyed Mohammad Reza Hashemi Golpayegani ◽  
Mohammad Reza Mohammadi ◽  
Shahriar Gharibzadeh
Keyword(s):  
Detrended Fluctuation Analysis ◽  
Period Doubling ◽  
Nonstationary Time Series ◽  
The Self ◽  
Fluctuation Analysis ◽  
Scaling Analysis ◽  
Analysis Method ◽  
Self Similarity ◽  
Self Similar ◽  
Detrended Fluctuation

Detrended Fluctuation Analysis (DFA) is a scaling analysis method that can identify intrinsic self-similarity in any nonstationary time series. In contrast, Wavelet Transform (WT) method is widely used to investigate the self-similar processes, as the self-similarity properties exist within the subbands. Therefore, a combination of these two approaches, DFA and WPT, is promising for rigorous investigation of such a system. In this paper a new methodology, so-called wavelet DFA, is introduced and interpreted to evaluate this idea. This approach, further than identifying self-similarity properties, enable us to detect and capture the chaos-periodic transitions, band merging, and internal crisis in systems that become chaotic through period-doubling phenomena. Changes of wavelet DFA exponent have been compared with that of Lyapunov and DFA through Logistic, Sine, Gaussian, Cubic, and Quartic Maps. Furthermore, the potential capabilities of this new exponent have been presented.

MULTIFRACTAL STRUCTURE OF PSEUDORAPIDITY AND AZIMUTHAL DISTRIBUTIONS OF THE SHOWER PARTICLES IN Au + Au COLLISIONS AT 200 A GeV

2008 ◽  
Vol 23 (18) ◽  
pp. 2809-2816 ◽  
Author(s):  
Y. X. ZHANG ◽  
W. Y. QIAN ◽  
C. B. YANG
Keyword(s):  
Long Range ◽  
Detrended Fluctuation Analysis ◽  
Correlation Property ◽  
Fluctuation Analysis ◽  
Analysis Method ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Range Correlation ◽  
Detrended Fluctuation

This paper analyzes the long-range correlation property and the corresponding multifractal structure of the distribution of shower particles in central Au + Au collisions at 200 A GeV by using the Multifractal Detrended Fluctuation Analysis method. The result shows that the pseudorapidity and azimuthal distributions of shower particles are multifractals in those collisions.

A NOVEL CORRELATION FUNCTION FROM DETRENDED FLUCTUATION ANALYSIS

2005 ◽  
Vol 19 (15) ◽  
pp. 707-712 ◽  
Author(s):  
C. B. YANG
Keyword(s):  
Correlation Function ◽  
Long Range ◽  
Detrended Fluctuation Analysis ◽  
Fluctuation Analysis ◽  
Analysis Method ◽  
Long Range Correlations ◽  
New Correlation ◽  
Detrended Fluctuation

A method for investigating the existence of long-range correlations between two sequences is proposed from the detrended fluctuation analysis method. A new correlation function is defined and its behavior is shown for simple examples.

Sign in / Sign up

Export Citation Format

Share Document