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 proposed 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 system, 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.

为了提高混沌信号的复杂度，本文首先提出了一种新的三维二次分数阶多滚动隐混沌系统，然后使用Adomian分解算法对所提出的分数阶混沌系统进行求解，得到不同阶的混沌相图，以及 0.99 阶系统的 Lyaponov 指数谱、分岔图和 SE 复杂度。在系统分析过程中，我们发现系统具有隐吸引子和隐分岔的动态行为。接下来，我们还首次在matlab环境中提出了一种利用Lyapunov指数描述混沌系统的引力盆地的方法，得到了不同阶条件下的引力盆地。最后，