We analyze the memory capacity of a delay based reservoir computer with a Hopf normal form as nonlinearity and numerically compute the linear as well as the higher order recall capabilities. A possible physical realisation could be a laser with external cavity, for which the information is fed via electrical injection. A task independent quantification of the computational capability of the reservoir system is done via a complete orthonormal set of basis functions. Our results suggest that even for constant readout dimension the total memory capacity is dependent on the ratio between the information input period, also called the clock cycle, and the time delay in the system. Optimal performance is found for a time delay about 1.6 times the clock cycle

中文翻译：

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基于延迟的储层计算系统中召回能力的局限性

我们以非线性 Hopf 范式分析基于延迟的储层计算机的存储容量，并数值计算线性以及高阶召回能力。一种可能的物理实现可能是带有外腔的激光器，通过电注入为其提供信息。储层系统计算能力的任务独立量化是通过一组完整的正交基函数来完成的。我们的结果表明，即使对于恒定的读出维度，总存储容量也取决于信息输入周期（也称为时钟周期）与系统中的时间延迟之间的比率。发现最佳性能的时间延迟约为时钟周期的 1.6 倍