TY - JOUR A2 - Koundal, Deepika AU - Hamad, Abdulsattar Abdullah AU - Thivagar, M. Lellis AU - Alshudukhi, Jalawi AU - Alharbi, Talal Saad AU - Aljaloud, Saud AU - Alhamazani, Khalid Twarish AU - Meraf, Zelalem PY - 2021 DA - 2021/12/23 TI - [Retracted] Secure Complex Systems: A Dynamic Model in the Synchronization SP - 9719413 VL - 2021 AB - Chaotic systems are one of the most significant systems of the technological period because their qualities must be updated on a regular basis in order for the speed of security and information transfer to rise, as well as the system’s stability. The purpose of this research is to look at the special features of the nine-dimensional, difficult, and highly nonlinear hyperchaotic model, with a particular focus on synchronization. Furthermore, several criteria for such models have been examined; Hamiltonian, synchronizing, Lyapunov expansions, and stability are some of the terms used. The geometrical requirements, which play an important part in the analysis of dynamic systems, are also included in this research due to their importance. The synchronization and control of complicated networks’ most nonlinear control is important to use and is based on two major techniques. The linearization approach and the Lyapunov stability theory are the foundation for attaining system synchronization in these two ways. SN - 1687-5265 UR - https://doi.org/10.1155/2021/9719413 DO - 10.1155/2021/9719413 JF - Computational Intelligence and Neuroscience PB - Hindawi KW - ER -