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The properties of inertial and kinetic range solar wind turbulence have been investigated with the arbitrary-order Hilbert spectral analysis method, applied to high-resolution density measurements. Due to the small sample size, and to the…

We present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the power-law…

Physics and Society · Physics 2007-08-01 Bronislovas Kaulakys , Miglius Alaburda , Vygintas Gontis , Tadas Meskauskas , Julius Ruseckas

Several studies have investigated the scaling behavior in naturally occurring biological and physical processes using techniques such as detrended fluctuation analysis (DFA). Data acquisition is an inherent part of these studies and maps…

Statistical Mechanics · Physics 2007-05-23 Radhakrishnan Nagarajan

The southern oscillation index (SOI) is a characteristic of the El Nino phenomenon. SOI monthly averaged data is analyzed for the time interval 1866-2000. The tail of the cumulative distribution of the fluctuations of SOI signal is studied…

Statistical Mechanics · Physics 2009-11-07 M. Ausloos , K. Ivanova

At the electron scales the power spectrum of solar-wind magnetic fluctuations can be highly variable and the dissipation mechanisms of the magnetic energy into the various particle species is under debate. In this paper we investigate data…

We show that in periodically driven systems, along with the delta-peak at the driving frequency, the spectral density of fluctuations displays extra features. These can be peaks or dips with height quadratic in the driving amplitude, for…

Statistical Mechanics · Physics 2015-06-23 Yaxing Zhang , Yukihiro Tadokoro , M. I. Dykman

We examine the scaling regime for the detrended fluctuation analysis (DFA) - the most popular method used to detect the presence of long memory in data and the fractal structure of time series. First, the scaling range for DFA is studied…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Dariusz Grech , Zygmunt Mazur

High-frequency measurements and images acquired from various sources in the real world often possess a degree of self-similarity and inherent regular scaling. When data look like a noise, the scaling exponent may be the only informative…

Methodology · Statistics 2017-03-14 Minkyoung Kang , Brani Vidakovic

Wind Energy is a useful resource for Renewable energy purpose. Wind speed plays a vital role for wind energy calculation of certain location. So, it is very much necessary to know the wind speed data characteristics. In this paper fourier…

Computational Engineering, Finance, and Science · Computer Science 2014-08-07 Sabyasachi Mukhopadhyay , Debadatta Dash , Asish Mitra , Paritosh Bhattacharya

We investigate how extreme loss of data affects the scaling behavior of long-range power-law correlated and anti-correlated signals applying the DFA method. We introduce a segmentation approach to generate surrogate signals by randomly…

Data Analysis, Statistics and Probability · Physics 2010-03-12 Qianli D. Y. Ma , Ronny P. Bartsch , Pedro Bernaola-Galván , Mitsuru Yoneyama , Plamen Ch. Ivanov

Scaling properties of time series are usually studied in terms of the scaling laws of empirical moments, which are the time average estimates of moments of the dynamic variable. Nonlinearities in the scaling function of empirical moments…

Probability · Mathematics 2023-04-24 Marco Zamparo

Modern utility-scale wind turbines are equipped with a Supervisory Control And Data Acquisition (SCADA) system gathering vast amounts of operational data that can be used for analysis to improve operation and maintenance of turbines. We…

Applications · Statistics 2023-08-21 Henrik M. Bette , Edgar Jungblut , Thomas Guhr

We present a phenomenological interaction with a scale factor power law form which leads to the appearance of two kinds of perturbed terms, a scale factor spatial variation along with perturbed Hubble expansion rate. We study both the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-09 Martín G. Richarte , Lixin Xu

Wind turbines operate in the atmospheric boundary layer, where they are exposed to the turbulent atmospheric flows. As the response time of wind turbine is typically in the range of seconds, they are affected by the small scale intermittent…

The power spectrum of the evolving solar wind shows evidence of a spectral break between an inertial range of turbulent fluctuations at higher frequencies and a "$1/f$" like region at lower frequencies. In the ecliptic plane at $\sim 1$ AU,…

Solar and Stellar Astrophysics · Physics 2009-09-24 R. M. Nicol , S. C. Chapman , R. O. Dendy

We study the intermittency and noise of dislocation systems undergoing shear deformation. Simulations of a simple two-dimensional discrete dislocation dynamics model indicate that the deformation rate exhibits a power spectrum scaling of…

Statistical Mechanics · Physics 2009-11-11 Lasse Laurson , Mikko Alava

The electrical energy system has attracted much attention from an increasingly diverse research community. Many theoretical predictions have been made, from scaling laws of fluctuations to propagation velocities of disturbances. However, to…

We study temporal correlations and multifractal properties of long river discharge records from 41 hydrological stations around the globe. To detect long-term correlations and multifractal behaviour in the presence of trends, we apply…

We study the time evolution of a chain of nonlinear oscillators. We focus on the fractal features of the spectral entropy and analyze its characteristic intermediate timescales as a function of the nonlinear coupling. A Brownian motion is…

Statistical Mechanics · Physics 2009-11-07 A. Scardicchio , P. Facchi , S. Pascazio

We propose a model which explains how power-law crossover behaviour can arise in a system which is capable of experiencing cascading failure. In our model the susceptibility of the system to cascades is described by a single number, the…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 James Burridge
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