Generation of Multidirectional Mirror Symmetric Multiscroll Chaotic Attractors (MSMCA) in Double Wing Satellite Chaotic System

Abstract

Based on the multilevel-logic pulse control method the simplified mirror symmetric multidirectional multiscroll chaotic attractors are designed via multilevel pulse excitation sources. This technique is based on the non-autonomous approach that generates multidirectional mirror symmetric multiscroll chaotic attractors (MSMCA) without changing the original nonlinear functions. The complex double wing satellite system is taken as an example to explain the mechanism of this scheme. In this paper, the multilevel pulse excitation sources are used in the quadratic terms of the satellite system (for mirror symmetry) and in the transformed state variables (for multidirectional multiscroll attractors) simultaneously to generate multidirectional MSMCA. By using the multilevel logic pulse control signal in double wing satellite system, a complete family of multidirectional MSMCA including 1D, 2D and 3D MSMCA is generated. Further, we explored that the arbitrary multidirectional (MSMCA) can be designed by introducing pulsed excitation in corresponding state variable directions (1D, plane (2D) or space (3D)). Numerical simulations together with theoretical analysis show the flexibility and effectiveness of the proposed methodology.