Effect of noise on generalized synchronization of chaos: theory and experiment
Faculty of Nonlinear Processes, Saratov State University, Astrakhanskaya, 83, 410012 Saratov, Russia
Corresponding author: a firstname.lastname@example.org
Revised: 4 April 2011
Published online: 22 June 2011
The influence of noise on the generalized synchronization regime in the chaotic systems with dissipative coupling is considered. If attractors of the drive and response systems have an infinitely large basin of attraction, generalized synchronization is shown to possess a great stability with respect to noise. The reasons of the revealed particularity are explained by means of the modified system approach [A.E. Hramov, A.A. Koronovskii, Phys. Rev. E 71, 067201 (2005)] and confirmed by the results of numerical calculations and experimental studies. The main results are illustrated using the examples of unidirectionally coupled chaotic oscillators and discrete maps as well as spatially extended dynamical systems. Different types of the model noise are analyzed. Possible applications of the revealed particularity are briefly discussed.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2011