This paper proposes a novel chaotic system characterized by a simple mathematical model and multiple coexisting attractors. Theoretical analysis and numerical simulation show that the proposed system is dissipative, symmetric, and chaotic. The system can generate a double-scroll chaotic attractor with having only one nonlinear term. With changing parameters, a double-scroll attractor is split into two single-scroll attractors. The system has many coexisting attractors, such as one double-scroll chaotic attractor and two single-scroll periodic attractors, two single-scroll chaotic attractors and two single-scroll periodic attractors, and four periodic attractors. The complex dynamic of the system is physically shown by establishing an electronic circuit of the system.

本文提出了一种新颖的混沌系统，其特征在于简单的数学模型和多个并存的吸引子。理论分析和数值模拟表明，所提出的系统是耗散的，对称的，混沌的。该系统可以生成仅具有一个非线性项的双卷混沌吸引子。通过更改参数，将双卷吸引器分为两个单卷吸引器。该系统具有许多共存的吸引子，例如一个双辊混沌吸引子和两个单辊周期吸引子，两个单辊混沌吸引子和两个单辊周期吸引子以及四个周期吸引子。通过建立系统的电子电路从物理上显示了系统的复杂动态。