[HTML][HTML] A 2D piecewise-linear discontinuous map arising in stock market modeling: Two overlapping period-adding bifurcation structures

L Gardini, D Radi, N Schmitt, I Sushko… - Chaos, Solitons & …, 2023 - Elsevier
We consider a 2D piecewise-linear discontinuous map defined on three partitions that drives
the dynamics of a stock market model. This model is a modification of our previous model …

Perception of fundamental values and financial market dynamics: mathematical insights from a 2D piecewise linear map

L Gardini, D Radi, N Schmitt, I Sushko… - SIAM Journal on Applied …, 2022 - SIAM
We develop a simple financial market model in which a market maker adjusts the price with
respect to orders placed by chartists and fundamentalists. A novel feature of our model is …

Sentiment-driven business cycle dynamics: An elementary macroeconomic model with animal spirits

L Gardini, D Radi, N Schmitt, I Sushko… - Journal of Economic …, 2023 - Elsevier
We propose an elementary macroeconomic model with animal spirits in which aggregate
investment expenditure depends on firms' sentiment. Firms display one of three sentiment …

On boom-bust stock market dynamics, animal spirits, and the destabilizing nature of temporarily attracting virtual fixed points

L Gardini, D Radi, N Schmitt, I Sushko… - Macroeconomic …, 2025 - cambridge.org
We propose a stock market model with chartists, fundamentalists and market makers.
Chartists chase stock price trends, fundamentalists bet on mean reversion, and market …

Study on the Stability of Complex Networks in the Stock Markets of Key Industries in China

Z Wang, G Zhang, X Ma, R Wang - Entropy, 2024 - mdpi.com
Investigating the significant “roles” within financial complex networks and their stability is of
great importance for preventing financial risks. On one hand, this paper initially constructs a …

Bifurcation structures of a two-dimensional piecewise linear discontinuous map: analysis of a cobweb model with regime-switching expectations

L Gardini, D Radi, N Schmitt, I Sushko, F Westerhoff - Nonlinear Dynamics, 2024 - Springer
We consider the bifurcations occurring in a two-dimensional piecewise-linear discontinuous
map that describes the dynamics of a cobweb model in which firms rely on a regime …

[HTML][HTML] Price predictability at ultra-high frequency: Entropy-based randomness test

A Shternshis, S Marmi - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
We use the statistical properties of Shannon entropy estimator and Kullback–Leibler
divergence to study the predictability of ultra-high frequency financial data. We develop a …

Nonlinear dynamics and game-theoretic modeling in economics and finance

GI Bischi, LC Baiardi, F Lamantia, D Radi - Annals of Operations Research, 2024 - Springer
In this foreword to the Special Issue “Nonlinear dynamics and game-theoretical modeling in
economics and finance” we review the contributions in the issue highlighting the economic …

Regular and chaotic dynamics in a 2D discontinuous financial market model with heterogeneous traders

I Sushko, F Tramontana - Mathematics and Computers in Simulation, 2024 - Elsevier
We develop a financial market model where three types of traders operate simultaneously:
fundamentalists and chartists of two types, namely, trend followers and contrarians. The …

[HTML][HTML] Solving Linear and Nonlinear Delayed Differential Equations Using the Lambert W Function for Economic and Biological Problems

T Ruzgas, I Jankauskienė, A Zajančkauskas… - Mathematics, 2024 - mdpi.com
Studies of the dynamics of linear and nonlinear differential equations with delays described
by mathematical models play a crucial role in various scientific domains, including …