A new four-dimensional hyperjerk system with stable equilibrium point, circuit implementation, and its synchronization by using an adaptive integrator backstepping control

• 来源期刊: 中国物理B（英文版）
• 关键词: new hyperjerk chaotic system stable equilibrium hidden attractors adaptive backstepping control synchronization
• 年，卷（期）: 2018,（10）
• 页码范围: 131-140
• 页数: 10页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/10/100501

摘要

This paper reports a new simple four-dimensional (4D) hyperjerk chaotic system. The proposed system has only one stable equilibrium point. Hence, its strange attractor belongs to the category of hidden attractors. The proposed system exhibits various dynamical behaviors including chaotic, periodic, stable nature, and coexistence of various attractors. Nu-merous theoretical and numerical methods are used for the analyses of this system. The chaotic behavior of the new system is validated using circuit implementation. Further, the synchronization of the proposed systems is shown by designing an adaptive integrator backstepping controller. Numerical simulation validates the synchronization strategy.