Memristor-induced hyperchaos, multiscroll and extreme multistability in fractional-order HNN: Image encryption and FPGA implementation

X Kong, F Yu, W Yao, S Cai, J Zhang, H Lin - Neural Networks, 2024 - Elsevier
Fractional-order differentiation (FOD) can record information from the past, present, and
future. Compared with integer-order systems, FOD systems have higher complexity and …

A new directional stability transformation method of chaos control for first order reliability analysis

Z Meng, G Li, D Yang, L Zhan - Structural and Multidisciplinary …, 2017 - Springer
The HL-RF iterative algorithm of the first order reliability method (FORM) is popularly applied
to evaluate reliability index in structural reliability analysis and reliability-based design …

[HTML][HTML] Experimental observation of chimera and cluster states in a minimal globally coupled network

JD Hart, K Bansal, TE Murphy, R Roy - Chaos: an interdisciplinary …, 2016 - pubs.aip.org
A “chimera state” is a dynamical pattern that occurs in a network of coupled identical
oscillators when the symmetry of the oscillator population is broken into synchronous and …

Chaos and hyperchaos in fractional-order cellular neural networks

X Huang, Z Zhao, Z Wang, Y Li - Neurocomputing, 2012 - Elsevier
In this paper, a fractional-order four-cell cellular neural network is proposed and the complex
dynamical behaviors of such a network are investigated by means of numerical simulations …

Radial basis function approach to nonlinear Granger causality of time series

N Ancona, D Marinazzo, S Stramaglia - Physical Review E—Statistical …, 2004 - APS
We consider an extension of Granger causality to nonlinear bivariate time series. In this
frame, if the prediction error of the first time series is reduced by including measurements …

Novel 3-D hyperchaotic map with hidden attractor and its application in meaningful image encryption

X Hu, D Jiang, M Ahmad, N Tsafack, L Zhu… - Nonlinear Dynamics, 2023 - Springer
To enhance the performance limitations of existing image encryption schemes using
compressive sensing (CS) technique in withstanding plaintext analysis-based security attack …

Analysis of three types of initial offset-boosting behavior for a new fractional-order dynamical system

S Gu, S He, H Wang, B Du - Chaos, Solitons & Fractals, 2021 - Elsevier
In this study, a new fractional-order chaotic system is proposed based on the Adomian
decomposition method (ADM). The system is proved to have no equilibrium point, so the …

Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps

GC Wu, D Baleanu - Communications in Nonlinear Science and Numerical …, 2015 - Elsevier
The Jacobian matrix algorithm is often used to calculate the Lyapunov exponents of the
chaotic systems. This study extends the algorithm to discrete fractional cases. The tangent …

A hyperchaotic system without equilibrium

Z Wang, S Cang, EO Ochola, Y Sun - Nonlinear Dynamics, 2012 - Springer
This article introduces a new chaotic system of 4-D autonomous ordinary differential
equations, which has no equilibrium. This system shows a hyper-chaotic attractor. There is …

Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps

S Zhang, C Wang, H Zhang - International Journal of Bifurcation and …, 2024 - World Scientific
Unlike the high-dimensional hyperchaotic system based on a continuous memristor, the low-
dimensional map coupled by discrete memristor (DM) and traditional chaotic map can also …