Controversy in financial chaos research and nonlinear dynamics: a short literature review

M Vogl - Chaos, Solitons & Fractals, 2022 - Elsevier
In this study, we apply a bibliometric analysis paired with a subsequent snowball sampling
procedure. Moreover, we display a full citation network analysis, outlining the most relevant …

Determining Lyapunov exponents of fractional-order systems: A general method based on memory principle

H Li, Y Shen, Y Han, J Dong, J Li - Chaos, Solitons & Fractals, 2023 - Elsevier
Lyapunov exponents provide quantitative evidence for determining the stability and
classifying the limit set of dynamical systems. There are several well-established techniques …

[HTML][HTML] Forecasting performance of wavelet neural networks and other neural network topologies: A comparative study based on financial market data sets

M Vogl, PG Rötzel, S Homes - Machine Learning with Applications, 2022 - Elsevier
In this study, we analyse the advantageous effects of neural networks in combination with
wavelet functions on the performance of financial market predictions. We implement different …

Assessing stock market contagion and complex dynamic risk spillovers during COVID-19 pandemic

Y Lu, D Xiao, Z Zheng - Nonlinear Dynamics, 2023 - Springer
A very important area where COVID-19 has seriously disrupted is the global financial
markets, where stock markets have experienced great turmoil. To shed light on the nature of …

Hurst exponent dynamics of S&P 500 returns: Implications for market efficiency, long memory, multifractality and financial crises predictability by application of a …

M Vogl - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we conduct a rolling window approach to wavelet-filtered (denoised) S&P500
returns (2000− 2020) to obtain time-varying Hurst exponents. We discuss implications of …

The synergic interplay between entropy, predictability, and informational efficiency of the Shanghai sectoral index

LHS Fernandes, FHA De Araujo, JWL Silva… - Fractals, 2023 - World Scientific
We explore the synergic interplay between entropy (disorder), predictability, and
informational efficiency of the daily closing price time series of 13 sectoral economics …

[HTML][HTML] An 8D Hyperchaotic System of Fractional-Order Systems Using the Memory Effect of Grünwald–Letnikov Derivatives

M Sarfraz, J Zhou, F Ali - Fractal and Fractional, 2024 - mdpi.com
We utilize Lyapunov exponents to quantitatively assess the hyperchaos and categorize the
limit sets of complex dynamical systems. While there are numerous methods for computing …

Dynamics of green and conventional bond markets: Evidence from the generalized chaos analysis

M Vogl, M Kojić, P Mitić - Physica A: Statistical Mechanics and its …, 2024 - Elsevier
In this study, we conduct a comparative analysis of the nonlinear dynamics of the time series
data for green and conventional bond indices spanning the period from 2014 to 2023. Our …

Recurrence-based reconstruction of dynamic pricing attractors

S Lu, S Oberst - Nonlinear Dynamics, 2023 - Springer
Dynamic pricing depends on the understanding of uncertain demand. We ask the question
whether a stochastic system is sufficient to model this uncertainty. We propose a novel …

Chaos measure dynamics in a multifactor model for financial market predictions

M Vogl - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
To answer the question if chaos changes over time, we apply rolling windows to wavelet-
denoised logarithmic S&P500 returns (2000–2020) and calculate consecutive chaos …