Constructing bifurcation diagram of reservoir computing

Abstract

We introduce a data-driven synchronization approach to construct the dynamical transition of reservoir computing. Specifically, we design a scheme composed of three identically coupled reservoir computers and each of them has learned the underlying chaotic information of a considered system. After realizing synchronization among these reservoir computers, we find that the bifurcation diagram of reservoir computing can be fully constructed by varying the leaking rate. Numerical results on several chaotic systems have further confirmed the effectiveness of our method. Our findings provide a new perspective on studying the internal dynamics of reservoir computing, paving the way for further practical applications.