Lower-dimensional chaotic systems are easily implementable and cost-effective, therefore,
more desirable for practical considerations. Not only can such systems preserve basic …

Two new three-dimensional chaotic oscillators are introduced in this paper. Each oscillator
has a different type of semi-fractal equilibrium curve: one with an R domain semi-fractal …

This paper proposes a robust chaotic encryption algorithm based on substitution and
permutation. We offer hyperchaotic maps with high ergodicity and large keyspace with a …

Numerous recently introduced chaotic systems exhibit straightforward algebraic
representations. In this study, we explore the potential for identifying a global analytic first …

In this paper the complex dynamics of a smallest biochemical system model in three-
dimensional systems with the reaction scheme. This model is described by a system of three …

In this paper we exhibit 2D and 3D piecewise smooth vector fields that have, at the same
time, first integrals and chaotic behavior. The fact of existing first integrals means that the …

In this article the complex dynamics of a laser model, which externally injected class 𝐵 which
is described by a system of three nonlinear ordinary differential equations with two …

In this paper, integrability and the global dynamics of two chaotic systems, Coullet and
Malasoma systems, are studied. We mainly use the contradiction technique to show that …

This work introduces a new 3-D chaotic system with a line of equilibrium points. We carry out
a detailed dynamic analysis of the proposed chaotic system with five nonlinear terms. We …

We focus on a chaotic differential system in 3-dimension, including an absolute term and a
line of equilibrium points. Which describes in the following This system has an …