Dynamical analysis of a new 3D chaotic system: non-equilibrium point, conservative, rotationally hidden attractor

Abstract A novel three-dimensional chaotic system is proposed in this paper. The nonlinear features are enhanced by adding e -exponent function to make the system behavior more complex and diverse. Through calculation and experimental verification, it is found that the system is a conservative system without equilibrium point, and this kind of system may produce hidden dynamic behavior. Therefore, four different dynamic analysis tools are chosen to simulate the possible hidden dynamics. The rotation factor is used to create some new models on the original system equation. With constantly adjustments of the rotation angle, the different resulting rotational hidden attractors are used to further prove that such chaos exists in the new proposed system. In the end, the realization of DSP shows the feasibility of this system in practical applications.