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. 2021 Dec 30:2021:3081345.
doi: 10.1155/2021/3081345. eCollection 2021.

A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization

Ahmed S Al-Obeidi  1 , Saad Fawzi Al-Azzawi  2 , Abdulsattar Abdullah Hamad  3 , M Lellis Thivagar  3 , Zelalem Meraf  4 , Sultan Ahmad  5
Affiliations

A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization

Ahmed S Al-Obeidi et al. Comput Intell Neurosci. .

Retraction in

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.

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Conflict of interest statement

The authors declare no conflicts of interest.

Figures

Figure 1
Figure 1
The attractors of new model: (a) x2 − x6 − x7 space, (b) x7 − x2 plane, (c) x4 − x7 plane, and (d) x4 − x6 plane.
Figure 2
Figure 2
Lyapunov spectrum of the new 7D model.
Figure 3
Figure 3
Typical dynamical behaviors of (3) at different control parameters k. (a) k = 0.5. (b) k = 0.5. (c) k = 0.8. (d) k = 0.8. (e) k = 4.25. (f) k = 4.25.
Figure 4
Figure 4
HS between models (9) and (10) with nonlinear control (13).
Figure 5
Figure 5
The convergence of models (12) with nonlinear controllers (13).
See this image and copyright information in PMC

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