Six-scroll chaos within the dynamics of the Thomas chaotic system and application to biomedical data encryption

In this paper, the influence of non-monotonic nonlinearity within the dynamics of the Thomas model is studied. The system presents various six-scroll chaos over a wide range of parameter values through in-depth analysis using conventional nonlinear analysis tools. The new model also reveals multistability with an elegant configuration of up to nine periodic states. An electronic analog version of the model is designed and then simulated using PSPICE software to verify the physical implementation of the model. A novel biomedical image encryption scheme based on the six-scroll chaos system, Arnold transform and diffusion operation is proposed and its security is analyzed using statistical testing and key space analysis. The results demonstrate the effectiveness of the proposed system in providing secure and efficient encryption of digital images.