Study on replication of a nonlinear dynamical system’s trajectory using a machine learning technique

Nonlinear system exhibits various solution orbits depending on varying parameters.
It is important to detect the system’s behavior. In some cases, however, the mathematical
modeling of the dynamic is completely unknown. By using a recent advance in the Machine
Learning technique named Reservoir Computing, we replicate the solution orbits based only on
data collected along with time evolution. We numerically confirm the effectiveness of Reservoir
Computing in time series prediction