A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization. (30th December 2021)

• Record Type: Journal Article
• Authors: Al-Obeidi, Ahmed S.; Fawzi Al-Azzawi, Saad; Abdullah Hamad, Abdulsattar; Thivagar, M. Lellis; Meraf, Zelalem; Ahmad, Sultan
• Other Names: Koundal Deepika Academic Editor.
• Is Part Of: Computational intelligence and neuroscience. Volume 2021(2021)
• Publication Date: 2021-12-30
• Subjects: Neurosciences -- Data processing -- Periodicals; Computational intelligence -- Periodicals; Computational neuroscience -- Periodicals; 612.80285
• DOI: 10.1155/2021/3081345
• Languages: English
• ISSNs: 1687-5265

Abstract

Abstract : In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. Various important features of the novel model are analyzed, including equilibria points, stability, and Lyapunov exponents. The numerical simulation shows that the new class exhibits dynamical behaviors such as chaotic and hyperchaotic. This paper also presents the hybrid synchronization for a novel model via Lyapunov stability theory.