SYNCHRONIZATION OF CHAOTIC SYSTEMS - THE EFFECTS OF ADDITIVE NOISE AND DRIFT IN THE DYNAMICS OF THE DRIVING

We examine the effect of additive noise and drift, in the dynamics of a chaotic driving signal, on the synchronization of chaotic response systems. Simple scaling laws associated with the synchronization deviation level under these types of contamination are presented. Time series used as the driving signals are experimentally measured from an electronic circuit and a mechanical system (a vibrating wire). The response systems are models that were obtained by fitting an ordinary differential equation to time series data. The possible relevance of this work to nondestructive testing, system identification, and communications is discussed. Finally, we present some results regarding the relationship between the synchronization deviation level and the coupling strength. © 1994 The American Physical Society.