A continuous attractor of recurrent neural network is a connected set of stable equilibrium points. It's widely used to interpret a lot of brain activities. A large number of literatures have studied discrete attractors and single continuous attractor. In this paper, the coexisting continuous attractors for nonlinear neural networks is studied and the coexisting conditions of two continuous attractors for network with and without external input in two-dimensional space are obtained by analysing the eigenvalues of the matrix. Finally, all the results are verified by simulation.

中文翻译：

---

低阶神经网络的多个连续吸引子的共存

循环神经网络的连续吸引子是一组连接的稳定平衡点。它被广泛用于解释许多大脑活动。大量文献研究了离散吸引子和单个连续吸引子。本文研究了非线性神经网络的共存连续吸引子，通过分析矩阵的特征值，得到了二维空间有无外部输入网络的两个连续吸引子的共存条件。最后，通过仿真验证了所有结果。