Dynamical analysis, circuit design, synchronization, and Arduino UNO implementation of a new 7D hyperchaotic system

Abstract

In this paper, we introduce a novel multidimensional 7D hyperchaotic system. We conduct an analysis of this innovative 7D dynamic system, focusing on determining Lyapunov exponents, constructing bifurcation diagrams, and identifying equilibrium points along with their corresponding stability conditions. Through computer modeling of the 7D hyperchaotic system in Matlab-Simulink and Labview, we obtain phase portraits of numerous strange attractors. Subsequently, the electronic circuit for the new 7D chaos generator was developed using Multisim software, showcasing behavior similar to the Matlab-Simulink and LabVIEW models. Furthermore, we study the synchronization problem for two identical 7D hyperchaotic systems, employing a nonlinear active control method. To depict the novel 7D hyperchaotic system, we utilized an Arduino UNO board and incorporated seven light-emitting diodes (LEDs). Additionally, we showcased the ability to replicate the new 7D hyperchaotic system within the Proteus 8 environment by employing the Arduino UNO microcontroller.