The purpose of this study is to investigate possible fractal behavior in Istanbul Stock Exchange (BIST) indices. In particular evidence of chaotic and fractal behavior will be presented. To be able to analyze monofractality of given indices we are going to use Higuchi and Katz methods.
In addition to this, we analyze the chaotic behavior of the investigated indices using Rescaled Range Analysis(R/S) and Detrended Fluctuation Analysis (DFA).
The aim of the study is to understand how the Turkish society evaluates the transition to distance education during the Covid-19 pandemic process by making sentiment analysis over Twitter posts. Hence, 28 prominent education-related tags were determined between 16.03.2020 - 17.05.2021. The data set was created by obtaining 8545 tweets in Turkish via the Twitter API. In addition, it was evaluated whether the number of cases reported daily by the authorities in the relevant period affected the shares positively or negatively. Finally, the most repeated words were evaluated to establish the most repetitive explanations. As a result, it was determined that the tweets related to distance education were in parallel with the increase in the number of cases and positive sharing due to health-related concerns.
Artificial neural networks are commonly accepted as a very successful tool for global function approximation. Because of this reason, they are considered as a good approach to forecasting chaotic time series in many studies. For a given time series, the Lyapunov exponent is a good parameter to characterize the series as chaotic or not. In this study, we use three different neural network architectures to test capabilities of the neural network in forecasting time series generated from different dynamical systems. In addition to forecasting time series, using the feedforward neural network with single hidden layer, Lyapunov exponents of the studied systems are forecasted.
In this study we analyze the Matinyan-Yang-Mills-Higgs (MYMH) system, based on semiclassical solutions to a Yang-Mills model, using Poincaré surfaces of section and the method of averaging. To investigate the possible chaotic behavior for the system, we simulate the trajectories of the system and calculate the Lyapunov exponents. We observe that the system displays weakly chaotic behavior. We search for the existence of approximately conserved quantities for the system using the method of averaging. In this way, we show the existence of four fixed points where period orbits exist.
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