A Novel 4D Conservative Chaotic System with Hidden Extreme Multistability, Special Multitransient Behaviors, and Offset Boosting Behaviors

Abstract

In this paper, we propose a novel 4D conservative chaotic system with a variety of interesting dynamic behaviors. By analyzing the divergence, Lyapunov exponent, equilibrium point and K-Y dimension of the proposed system, it is found that the system has hidden attractors and conservative characteristics. When the control parameters and initial values of the 4D conservative chaotic system are set to different values, the system shows hidden extreme multistability and offset boosting behaviors. In addition, in the case of fixed control parameters, when different initial values are selected, the system exhibits a variety of special transient transition behaviors, including quasi-periodic to periodic, quasi-periodic to hyperchaotic state. Subsequently, compared with existing systems, the complexity analysis of the chaotic sequence shows that the proposed system has a significant improvement in terms of sequence complexity. Finally, the system is implemented through a DSP hardware platform, preparing for subsequent engineering applications.