Investigación

 

Synchronization of multi–scroll chaos generators: application to private communication

 

L. Gámez–Guzmánª, C. Cruz–Hernándezª*, R.M. López–Gutiérrez^b and E.E. García–Guerrero^b

 

ª Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Km. 107, Carretera Tijuana–Ensenada, 22860 Ensenada, B. C, México.

^b Faculty of Engineering, Baja California Autonomous University (UABC), Km. 103, Carretera Tijuana–Ensenada, 22860Ensenada, B.C., México.

 

* Corresponding author:
CICESE, Electronics and Telecommunications Department,
P.O. Box 434944, San Diego, CA 92143–4944, USA,
Phone: +52.646.1750500, Fax: +52.646.1750554,
e–mail: ccruz@cicese.mx

 

Recibido el 28 de marzo de 2008
Aceptado el 2 de junio de 2008

 

Abstract

In this paper, the synchronization problem of coupled 2D–grid scroll attractor families in master–slave configuration is studied numerically. In particular, we consider, for synchronization purposes, the chaos generator model of 3 x 3–scroll grid attractors by appealing to Generalized Hamiltonian forms and observer design from nonlinear control theory. A potential application to the transmission of encrypted information is also given.

Keywords: Chaos synchronization; multi– scroll chaotic attractor; observer; Generalized Hamiltonian system; chaotic encryption; private communication.

 

Resumen

Este trabajo versa sobre la comunicación secreta de información analógica y digital. El encriptado se produce por sincronía de caos, la cual se obtiene de formas hamiltonianas y el diseño de un observador no lineal. En particular, se emplean circuitos caóticos generadores de una familia de atractores con enrollamientos de 3 x 3 en cuadrícula 2D, como consecuencia produciéndose incremento en la seguridad del cifrado en la transmisión de información confidencial.

Descriptores: Sincronización de caos; atractor caótico con enrollamientos de 3 x 3 en cuadrícula 2D; sistema hamiltoniano generalizado; observador; comunicación secreta.

 

PACS: 05.45.+b; 43.72.+q; 43.50.+y (89.75.–K; 05.45.Gg)

 

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Acknowledgments

This work was supported by the CONACYT, México under Research Grant No. J49593–Y and P50051–Y, and by the UABC, México, under Research Grant No. 0465.

 

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