A new three-dimensional chaotic flow is proposed in this paper. The system is the simplest chaotic flow that has a line of equilibria. The chaotic attractor of the system is very special with two slow and fast parts. In other words, the dynamic of the system is a combination of slow and fast states. The unique chaotic attractor of the system is investigated. Dynamical properties of the system, such as stability of equilibrium points and bifurcation diagrams, are studied. We believe that such a system with these special properties is proposed for the first time in this paper.

中文翻译：

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用平衡线研究最简单混沌系统的混沌吸引子

本文提出了一种新的三维混沌流。该系统是最简单的具有平衡线的混沌流。该系统的混沌吸引子非常特殊，具有两个慢速部分和快速部分。换句话说，系统的动态是慢速状态和快速状态的组合。研究了系统的独特混沌吸引子。研究了系统的动力学特性，例如平衡点的稳定性和分叉图。我们认为，本文首次提出了具有这些特殊属性的系统。