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Discrete Dynamics in Nature and Society
Volume 2, Issue 1, Pages 1-5
http://dx.doi.org/10.1155/S1026022698000016

New feedback functions for synchronizing chaotic maps

Department of Physics, The University of Lethbridge, Alberta, Lethbridge T1K 3M4, Canada

Received 20 August 1997

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Synchronization of chaotic maps is studied using the method of variable feedback. A general method is presented for generating feedback functions for maps. These feedback functions are found very efficient. Our study shows that when the driver and the response systems are fed by common noise, the noise does not affect synchronization. With different but weak noise added to the driver and response systems, approximate synchronization persists.