The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

The memristor has received much attention in recent years because of its natural
nonlinearity, but the research on discrete memristor is just beginning. For this reason, a new …

This paper announces a novel three-dimensional chaotic system with line equilibrium and
discusses its dynamic properties such as Lyapunov exponents, phase portraits, equilibrium …

In this work, we propose a new fractional-order chaotic system based on the model of 4-
neurons-based Hopfield Neural Network (HNN). By using Adomain decomposition method …

In this paper, a fractional-order hyperchaotic detuned laser system (FHDLS) is proposed,
and a novel image cryptosystem with high-security performance is designed by combining …

A new 4D chaotic system with self-excited attractors or hidden attractors is designed and the
generation of self-excited attractors and hidden attractors depends on the parameters of the …

In recent years, image encryption schemes based on optical methods have been extensively
studied. However, possible optical encryption methods in combination with fractional-order …

A memristive Hopfield neural network (MHNN) with a special activation gradient is proposed
by adding a suitable memristor to the Hopfield neural network (HNN) with a special …

In this paper, a new method for generating multi-scroll chaotic attractors via constructing a
compound hyperbolic tangent-cubic nonlinear function in canonical Chua's circuit is …

In this paper, a color image encryption algorithm is presented, the new algorithm uses
double-layer Joseph's scramble, XOR diffusion, and is built on a laser chaos system. Firstly …