A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization

Abstract

Researchers have paid significant attention on hyperjerk systems, especial hyperjerk ones with chaos. A new hyperjerk system with seven terms and two parameters is analyzed. Chaotic attractors as well as coexisting attractors are displayed by the hyperjerk system. Thus it is a new multi-stable chaotic hyperjerk system. Further properties of the proposed hyperjerk system such as circuit design and backstepping-based control and synchronization are reported.

Keywords

• chos
• hyperjerk system
• multi-stable
• control
• synchronization
• circuit design