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The European Physical Journal B

, Volume 82, Issue 1, pp 69–82 | Cite as

Effect of noise on generalized synchronization of chaos: theory and experiment

  • O. I. Moskalenko
  • A. E. Hramov
  • A. A. Koronovskii
  • A. A. Ovchinnikov
Statistical and Nonlinear Physics Regular Article

Abstract

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.

Keywords

Lyapunov Exponent Drive System Noise Intensity Chaotic Attractor External Noise 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • O. I. Moskalenko
    • 1
  • A. E. Hramov
    • 1
  • A. A. Koronovskii
    • 1
  • A. A. Ovchinnikov
    • 1
  1. 1.Faculty of Nonlinear ProcessesSaratov State UniversitySaratovRussia

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