Specialty of Mathematics, Gifted School of Nineveh, Directorate of Education, Mosul, Iraq.
Department of Mathematics, College of Computer Science and Mathematics, University of Mosul, Mosul, Iraq.
Comput Intell Neurosci. 2021 Dec 30;2021:3081345. doi: 10.1155/2021/3081345. eCollection 2021.
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.
在本研究中，通过非线性反馈控制技术，从 6D Lorenz 模型构建了一个新的 7D 超混沌模型。所提出的模型只有一个不稳定的原点，因此被归类为具有自激发吸引子的模型。它有七个方程，包括 19 个项，其中四个是二次非线性项。分析了新型模型的各种重要特性，包括平衡点、稳定性和 Lyapunov 指数。数值模拟表明，新的混沌系统表现出混沌和超混沌等动力学行为。本文还通过 Lyapunov 稳定性理论提出了新型模型的混合同步。
