A new 5-D highly hyperchaotic system with a line equilibrium, its bifurcation analysis, multistability and electronic circuit simulation

Journal article

In this researchwork,we propose a new5-D highly hyperchaotic system with three quadratic nonlinear terms. A novel feature of the new hyperchaotic system is that it has the maximal Lyapunov exponent (MLE) given by ��1 = 10.5374 which implies that the proposed hyperchaotic system has high complexity. Another novel feature of the new hyperchaotic system is that the system exhibits a line of equilibrium points, which shows that the new hyperchaotic system has hidden attractors. We carry out a detailed bifurcation analysis of the new hyperchaotic system with a line equilibrium. Using Multisim, we build an electronic circuit of the new 5-D hyperchaotic system with a line equilibrium. As a control application, we use integral sliding mode control (ISMC) to achieve global asymptotic stabilization of the new 5-D highly hyperchaotic system with a line equilibrium. Lyapunov control theory has been used to establish the stabilization results for the new 5-D hyperchaotic system. MATLAB simulation results are shown to illustrate the main results of this research work.

Authors: Vaidyanathan, S; Hannachi, F; Moroz, IM; Mohamed, MA; Sambas, A

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Polish Academy of Sciences Chancellery
• Journal: Archives of Control Sciences
• Pages: 561-585
• Publication date: 2025-09-30
• DOI: 10.24425/acs.2025.156310
• ISSN: 1230-2384
• Language: English