Abstract
Compared to traditional chaotic systems like Lorenz, Chua, logistic map and Rössler systems, a different generation of new chaotic systems emerged, based on the mathematical model of a variable structure model of neurons (VSMNs). A detailed bifurcation analysis of the new chaotic system with theory and simulations is discussed. Our new discovery has some attractive features valuable for engineering applications, such as security communication. In this paper, we present some types of coupling of our new chaotic system. Using VSMN, the system can generate a single, spiral or double-scroll chaotic attractor. With changing parameters and adding oscillators, their behaviour changes into four symmetric and coexisting double-scroll chaotic attractors. We conclude that coupling with chaotic attractors not only increases the chaos complexity but also generates multi hyperchaotic attractors. Finally, we couple between two chaotic attractors using neurons, which leads to a multi-stability system. They illustrate that our multi-scroll system is hyperchaotic and its complexity can ensure perfect security for telecommunication systems for the future.