论文标题
混乱神经网络中不稳定固定点的分布
The Distribution of Unstable Fixed Points in Chaotic Neural Networks
论文作者
论文摘要
我们通过分析确定混乱神经网络的规范模型中固定点的数量和分布。该分布表明，固定点和动力学仅限于相空间中的单独壳。此外，该分布使我们能够在固定点确定雅各布式的特征值光谱。尽管固定点和动力学对径向分离，但我们发现附近的固定点部分吸引了动态的地标。
We analytically determine the number and distribution of fixed points in a canonical model of a chaotic neural network. This distribution reveals that fixed points and dynamics are confined to separate shells in phase space. Furthermore, the distribution enables us to determine the eigenvalue spectra of the Jacobian at the fixed points. Despite the radial separation of fixed points and dynamics, we find that nearby fixed points act as partially attracting landmarks for the dynamics.
