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

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.