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Chaos-based image encryption: Review, application, and challenges
B Zhang, L Liu - Mathematics, 2023 - mdpi.com
Chaos has been one of the most effective cryptographic sources since it was first used in
image-encryption algorithms. This paper closely examines the development process of …
image-encryption algorithms. This paper closely examines the development process of …
Bifurcations and loss jumps in RNN training
Recurrent neural networks (RNNs) are popular machine learning tools for modeling and
forecasting sequential data and for inferring dynamical systems (DS) from observed time …
forecasting sequential data and for inferring dynamical systems (DS) from observed time …
Causes of fragile stock market stability
We develop a behavioral stock market model in which a market maker adjusts stock prices
with respect to the orders of chartists, fundamentalists and sentiment traders. We analytically …
with respect to the orders of chartists, fundamentalists and sentiment traders. We analytically …
Strange nonchaotic attractors in a class of quasiperiodically forced piecewise smooth systems
The existence of strange nonchaotic attractors (SNAs) and the associated mechanisms are
studied in a class of quasiperiodically forced piecewise smooth systems. We show that the …
studied in a class of quasiperiodically forced piecewise smooth systems. We show that the …
Spinning black holes with axion hair
In this work we construct and analyze non-perturbative stationary and axially-symmetric
black hole solutions in general relativity coupled to an electromagnetic and an axion field …
black hole solutions in general relativity coupled to an electromagnetic and an axion field …
Identifying nonlinear dynamical systems with multiple time scales and long-range dependencies
A main theoretical interest in biology and physics is to identify the nonlinear dynamical
system (DS) that generated observed time series. Recurrent Neural Networks (RNNs) are, in …
system (DS) that generated observed time series. Recurrent Neural Networks (RNNs) are, in …
The abatement game in a dynamic oligopoly: social welfare versus profits
This article considers an N-firm oligopoly with abating and non-abating firms and analyses a
dynamic setting in which the environmental regulator sets the tax rate to incentivise firms to …
dynamic setting in which the environmental regulator sets the tax rate to incentivise firms to …
Center bifurcation in the Lozi map
We consider the well-known Lozi map, which is a 2D piecewise linear map depending on
two parameters. This map can be considered as a piecewise linear analog of the Hénon …
two parameters. This map can be considered as a piecewise linear analog of the Hénon …
Perception of fundamental values and financial market dynamics: Mathematical insights from a 2D piecewise linear map
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 …
respect to orders placed by chartists and fundamentalists. A novel feature of our model is …
Currency manipulation and currency wars: Analyzing the dynamics of competitive central bank interventions
Based on a behavioral exchange rate model, we show that a central bank that conducts
competitive interventions to promote its economy may devalue its currency, albeit at the …
competitive interventions to promote its economy may devalue its currency, albeit at the …