Time shifts and correlations in synchronized chaos.

摘要: We introduce a new method for predicting characteristics of the synchronized state achieved by wide class unidirectional coupling schemes. Specifically, we derive transfer function from model that provides estimates correlation between drive and response waveforms, time shift (i.e., lag or anticipation) state. To demonstrate method, apply it to simulated system coupled Rossler oscillators as well an experimental chaotic electronic circuits. Finally, show can be exploited design novel schemes significantly improve increase maximum achievable shift.