Analysis and implementation of new fractional-order multi-scroll hidden attractors

• 来源期刊: 中国物理B（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: GENERAL
• 页码范围: 225-233
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/1674-1056/abbbe4

摘要

To improve the complexity of chaotic signals,in this paper we first put forward a new three-dimensional quadratic fractional-order multi-scroll hidden chaotic system,then we use the Adomian decomposition algorithm to solve the pro-posed fractional-order chaotic system and obtain the chaotic phase diagrams of different orders,as well as the Lyaponov exponent spectrum,bifurcation diagram,and SE complexity of the 0.99-order system.In the process of analyzing the sys-tem,we find that the system possesses the dynamic behaviors of hidden attractors and hidden bifurcations.Next,we also propose a method of using the Lyapunov exponents to describe the basins of attraction of the chaotic system in the matlab environment for the first time,and obtain the basins of attraction under different order conditions.Finally,we construct an analog circuit system of the fractional-order chaotic system by using an equivalent circuit module of the fractional-order integral operators,thus realizing the 0.9-order multi-scroll hidden chaotic attractors.