title: Time shifts and correlations in synchronized chaos.
abstract: We introduce a new method for predicting characteristics of the synchronized state achieved by a wide class of unidirectional coupling schemes. Specifically, we derive a transfer function from the coupling model that provides estimates of the correlation between the drive and response waveforms, and of the time shift (i.e., lag or anticipation) of the synchronized state. To demonstrate the method, we apply it to a simulated system of coupled Rossler oscillators as well as to an experimental system of coupled chaotic electronic circuits. Finally, we show that the transfer function can be exploited to design novel coupling schemes that significantly improve the correlation and increase the maximum achievable time shift.
authors: U. S. Army Research, Engineering, and Development Command, AMSRD-AMR-WS-ST, Redstone Arsenal, Alabama 35898, USA.
authors: Jonathan N
authors: JN
authors: Blakely
authors: Matthew W
authors: MW
authors: Pruitt
authors: Ned J
authors: NJ
authors: Corron
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D003198:Computer Simulation; D005246:Feedback / Q000502:physiology*; D008954:Models, Biological; D017711:Nonlinear Dynamics; D013997:Time Factors