We analyze the reservoir computation capability of the Lang-Kobayashi system by comparing the numerically computed recall capabilities and the eigenvalue spectrum. We show that these two quantities are deeply connected, and thus the reservoir computing performance is predictable by analyzing the eigenvalue spectrum. Our results suggest that any dynamical system used as a reservoir can be analyzed in this way as long as the reservoir perturbations are sufficiently small. Optimal performance is found for a system with the eigenvalues having real parts close to zero and off-resonant imaginary parts.

翻译：我们通过比较数字计算回溯能力和电子值频谱来分析Lang-Kobayashi系统的储油层计算能力。 我们发现这两个数量是紧密相连的,因此储油层计算性能通过分析电子值频谱是可以预测的。 我们的结果表明,只要储油层扰动足够小,任何用作储油层的动态系统都可以以这种方式加以分析。 最优性能是使用真正零和不相容元件的元值系统。