Issue
EPL
Volume 83, Number 5, September 2008
Article Number 50005
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/83/50005
Published online 21 August 2008
EPL, 83 (2008) 50005
DOI: 10.1209/0295-5075/83/50005

Chaos synchronization with dynamic filters: Two-way is better than one-way

I. Kanter1, E. Kopelowitz1, J. Kestler2 and W. Kinzel2

1  Department of Physics, Bar-Ilan University - Ramat-Gan, 52900 Israel
2  Institute for Theoretical Physics, University of Würzburg - Am Hubland, 97074 Würzburg, Germany, EU


received 6 February 2008; accepted in final form 15 July 2008; published September 2008
published online 21 August 2008

Abstract
Two chaotic systems which interact by mutually exchanging a signal built from their delayed internal variables, can synchronize. A third unit may be able to record and to manipulate the exchanged signal. Can the third unit synchronize to the common chaotic trajectory, as well? If all parameters of the system are public, a proof is given that the recording system can synchronize as well. However, if the two interacting systems use private commutative filters to generate the exchanged signal, a driven system cannot synchronize. It is shown that with dynamic private filters the chaotic trajectory even cannot be calculated. Hence two-way (interaction) is better than one-way (drive). The implication of this general result to secret communication with chaos synchronization is discussed.

PACS
05.45.Vx - Communication using chaos.
05.45.Xt - Synchronization; coupled oscillators.
05.45.-a - Nonlinear dynamics and chaos.

© EPLA 2008