Harnessing nonlinearity : predicting chaotic systems and boosting wireless communication . " ( Ref : 1091277 ) Refutation of Second Reviewer ' s Objections
• The stepsize that I use is actually not large. The stepsize 0.1 that I used must be seen in relation to the attractor's inherent timescale, which is very slow. With this stepsize, one loop around the attractor takes about 500 simulation steps, which cannot be considered a coarse approximation. When the Mackey-Glass system is simulated with a standard commercial solver for differential delay equations (namely, Matlab's dde23 function), a stepsize of about 2.0 is automatically selected, 20 times the stepsize I used. • The stepsize that I use yields an accurate simulation of the attractor. I computed estimates of the first Lyapunov exponent λ1 for both my simulation (stepsize 0.1) and the Matlab simulation function dde23. I obtained λ1 ≈ 0.0064 for my simulation and λ1 ≈ 0.0059 for the commercial simulation tool. Both values are in agreement with estimates found in the literature.