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 …
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 …
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
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 …
oscillators when the symmetry of the oscillator population is broken into synchronous and …
Chaos and hyperchaos in fractional-order cellular neural networks
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 …
dynamical behaviors of such a network are investigated by means of numerical simulations …
Radial basis function approach to nonlinear Granger causality of time series
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 …
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
To enhance the performance limitations of existing image encryption schemes using
compressive sensing (CS) technique in withstanding plaintext analysis-based security attack …
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 …
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
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 …
chaotic systems. This study extends the algorithm to discrete fractional cases. The tangent …
A hyperchaotic system without equilibrium
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 …
equations, which has no equilibrium. This system shows a hyper-chaotic attractor. There is …
Four Novel Dual Discrete Memristor-Coupled Hyperchaotic Maps
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 …
dimensional map coupled by discrete memristor (DM) and traditional chaotic map can also …