Dynamics of a new hyperchaotic system and multistability

In this paper, a new 4D hyperchaotic system is proposed. By boosting a trigonometric function into a single variable, the system produces different multistable regions. Bifurcation diagrams and cross-section of basins can quantify the presence of coexisting attractors. Furthermore, a nonlinear controller is implemented, which can shift the coexisting attractor in the negative region in the phase space and merge it to the positive region, for a threshold value of the control parameter. It has also been noticed that complexity increases with the addition of the nonlinear controller, when the coexisting attractors shift to the positive region in the phase space.