Dynamical Analysis of a New Chaotic System: Hidden Attractor, Coexisting-Attractors, Offset Boosting, and DSP Realization

Abstract

In this paper, a new 5-D chaotic system with hidden attractor was presented. The stability and equilibrium points set of the system were analyzed by the traditional dynamical analysis method. Meanwhile, several special phenomena were found in the system, such as chaos degradation, state transition, multiwing chaotic attractors, coexisting-attractors etc. verifying the application of the system in engineering, offset boosting control method is introduced and numerical simulation of the system is implemented. In addition, the complexity of Spectral Entropy (SE) and C0 are analyzed. Finally, the new system was simulated by the digital signal processing (DSP) technology, and the results agree well with the numerical simulation result. Theoretical analysis and simulation results show that the system has complex dynamical characteristics and can be applied to secure communication and image encryption.

Keywords

• Hidden attractor
• coexisting-attractors
• state transition
• chaos degradation
• offset boosting
• DSP