scholarly journals Diffusion entropy analysis on the scaling behavior of financial markets

2006 ◽  
Vol 367 ◽  
pp. 337-344 ◽  
Author(s):  
Shi-Min Cai ◽  
Pei-Ling Zhou ◽  
Hui-Jie Yang ◽  
Chun-Xia Yang ◽  
Bing-Hong Wang ◽  
...  
Keyword(s):  
Financial Markets ◽  
Scaling Behavior ◽  
Entropy Analysis ◽  
Diffusion Entropy

Diffusion entropy analysis in billiard systems

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Gabriel I. Díaz ◽  
Matheus S. Palmero ◽  
Iberê Luiz Caldas ◽  
Edson D. Leonel
Keyword(s):  
Entropy Analysis ◽  
Diffusion Entropy

Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena

2004 ◽  
Author(s):  
N. Scafetta ◽  
P. Grigolin
Keyword(s):  
Complex System ◽  
Time Series ◽  
Entropy Analysis ◽  
Fractal Structures ◽  
Mathematical Methods ◽  
Teen Birth ◽  
Working Definition ◽  
Diffusion Entropy ◽  
Wavelet Multiresolution Analysis ◽  
Definition Of

A complex process is often a balance between nonscaling and scaling components. We show how the nonextensive Tsallis g-entropy indicator may be interpreted as a measure of the nonscaling condition in time series. This is done by applying the nonextensive entropy formalism to the diffusion entropy analysis (DEA). We apply the analysis to the study of the teen birth phenomenon. We find that the number of unmarried teen births is strongly influenced by social processes that induce an anomalous memory in the data. This memory is related to the strength of the nonscaling component of the signal and is more intense than that in the married teen birth time series. By using a wavelet multiresolution analysis, we attempt to provide a social interpretation of this effect…. One of the most exciting and rapidly developing areas of modern research is the quantitative study of "complexity." Complexity has special interdisciplinary impacts in the fields of physics, mathematics, information science, biology, sociology, and medicine. No definition of a complex system has been universally embraced, so here we adopt the working definition, "an arrangement of parts so intricate as to be hard to understand or deal with." Therefore, the main goal of the science of complexity is to develop mathematical methods in order to discriminate among the fundamental microscopic and macroscopic constituents of a complex system and to describe their interrelations in a concise way. Experiments usually yield results in the form of time series for physical observables. Typically, these time series contain both a slow regular variation, usually called a "signal," and a rapid erratic fluctuation, usually called "noise." Historically, the techniques applied to processing such time series have been based on equilibrium statistical mechanics and, therefore, they are not applicable to phenomena far from equilibrium. Among the fluctuating phenomena, a particularly important place is occupied by those phenomena characterized by some type of self-similar or scaling-fractal structures [4]. In this chapter we show that the nonextensive Tsallis g-entropy indicator may be interpreted as a measure of the strength of the nonscaling component of a time series.

scholarly journals SCALING BEHAVIOR AND COMPLEXITY OF THE PORTEVIN-LE CHATELIER EFFECT

2006 ◽  
Vol 20 (18) ◽  
pp. 1075-1092 ◽  
Author(s):  
A. SARKAR ◽  
P. BARAT
Keyword(s):  
Time Series ◽  
Time Series Data ◽  
Tensile Tests ◽  
Scaling Behavior ◽  
Multiscale Entropy ◽  
Dynamic Strain ◽  
Series Data ◽  
Finite Variance ◽  
Strain Rates ◽  
Entropy Analysis

The plastic deformation of dilute alloys is often accompanied by plastic instabilities due to dynamic strain aging and dislocation interaction. The repeated breakaway of dislocations from and their recapture by solute atoms leads to stress serrations and localized strain in the strain controlled tensile tests, known as the Portevin-Le Chatelier (PLC) effect. In this present work, we analyze the stress time series data of the observed PLC effect in the constant strain rate tensile tests on Al-2.5%Mg alloy for a wide range of strain rates at room temperature. The scaling behavior of the PLC effect was studied using two complementary scaling analysis methods: the finite variance scaling method and the diffusion entropy analysis. From these analyses we could establish that in the entire span of strain rates, PLC effect showed Levy walk property. Moreover, the multiscale entropy analysis is carried out on the stress time series data observed during the PLC effect to quantify the complexity of the distinct spatiotemporal dynamical regimes. It is shown that for the static type C band, the entropy is very low for all the scales compared to the hopping type B and the propagating type A bands. The results are interpreted considering the time and length scales relevant to the effect.

scholarly journals White Matter Injuries in Mild Traumatic Brain Injury and Posttraumatic Migraines: Diffusion Entropy Analysis

Radiology ◽  
2016 ◽  
Vol 279 (3) ◽  
pp. 859-866 ◽  
Author(s):  
Joseph Delic ◽  
Lea M. Alhilali ◽  
Marion A. Hughes ◽  
Serter Gumus ◽  
Saeed Fakhran
Keyword(s):  
Traumatic Brain Injury ◽  
Brain Injury ◽  
White Matter ◽  
Mild Traumatic Brain Injury ◽  
Entropy Analysis ◽  
Diffusion Entropy
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