A chaotic system that can show multiscroll and megastable attractors is studied in this paper. Two cases of the system with periodic and quasi-periodic excitations are discussed. Various stabilities of the system determined by changing parameters and initial values are investigated for both cases. In Case-A of the proposed system, multiscroll attractors are shown for the various parameter values. In Case-B with quasi-periodic excitation, the system shows various multiscroll attractors. Dynamical properties of these two cases are studied using the bifurcation diagram and Lyapunov exponents.

中文翻译：

---

一种基于符号函数的新型多涡旋超稳振荡器

本文研究了一个可以显示多滚动和超稳定吸引子的混沌系统。讨论了具有周期性和准周期性激励的系统的两种情况。对于这两种情况，研究了通过改变参数和初始值确定的系统的各种稳定性。在所提出系统的案例-A 中，针对各种参数值显示了多滚动吸引子。在具有准周期激励的案例 B 中，系统显示出各种多卷吸引子。使用分岔图和李雅普诺夫指数研究这两种情况的动力学特性。