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 …

Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

This paper introduces an image encryption algorithm shorted as CITSPD, manipulated by
circle index table scrambling and partition diffusion. Firstly, the circle index table is obtained …

This paper presents a controller-based synchronization scheme in a leader-follower
architecture for chaotic maps of fractional variable-order. The proposed scheme …

Researches on the fracmemristor have aroused increasing interest in the last several years,
but there are no reports on design of the discrete fracmemristor. Based on the fractional …

In this paper, a new 2-dimensional chaotic map with a simple algebraic form is proposed.
And the numerical solution of the corresponding fractional-order map is derived. It is novel …

In this paper, we propose a method to design the pseudorandom number generator (PRNG)
using three kinds of four‐wing memristive hyperchaotic systems (FWMHSs) with different …

This contribution proposes a novel chaotic hyperjerk circuit with the new phenomenon of
mixed-mode bursting oscillations (MMBOs). The bifurcation analysis of this specific oscillator …

In order to obtain a system of higher complexity, a new fractional-order chaotic system is
constructed based on the Sprott system. It is noteworthy that the system has no equilibrium …

Chaotic nonlinear systems are systems whose main feature is extreme sensitivity to noise in
the problem or the corresponding initial conditions. In this paper, we examine the chaotic …