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For a reservoir computer composed of a single nonlinear node and delay line,we show that after a finite period of discrete time, the distance between tworeservoir outputs is bounded above by a constant multiple of the distancebetween their respective inputs. We also translate familiar separationproperties from the context of Echo State Networks to that of the singlenonlinear node structure.

Reservoir Computing Dynamics for Single Nonlinear Node with Delay Line Structure