A novel five-term 3D chaotic system with cubic nonlinearity and its microcontroller-based secure communication implementation

Data security has gained importance over the years. Thus, cryptology is becoming a more popular phenomenon. In cryptology applications, a chaotic system with third- or higher-order terms is more difficult to decrypt. The main advantages of a system with fewer terms are easier to implement and cost-effective. Therefore, the motivation of this study is to introduce a new five-term 3D chaotic flow having cubic nonlinearity, a linear term, a constant term, and two other nonlinear terms. Despite the five-term hidden attractor with cubic nonlinearity in the literature, the proposed system has four equilibria, so it is a self-excited attractor. To examine the dynamical characteristic of the introduced system, we performed numerical analyses, such as time series, phase plains, equilibria, multistability, bifurcation, and Lyapunov spectra. Furthermore, the response and drive systems with different initial conditions obtained from the system were established, and their synchronization using only one control signal was applied. To prove the applicability of proposed system, its circuit implementation was realized by utilizing commercially available devices. An inventive microcontroller-based secure communication using the chaotic masking method was also designed and implemented. As expected, the demonstrated experimental results were in good agreement with the numerical analyses.

Automated summary

Data security has gained importance, and cryptology is becoming popular. A new five-term 3D chaotic flow with cubic nonlinearity has been proposed for more difficult-to-decrypt systems. The research analyzed the dynamic characteristics of the introduced system and demonstrated its applicability through numerical analyses and circuit implementation. A secure communication method using the chaotic masking method was also designed and implemented to validate the system.