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Revista mexicana de física
versión impresa ISSN 0035-001X
Rev. mex. fis. vol.54 no.4 México ago. 2008
Investigación
Synchronization of multiscroll chaos generators: application to private communication
L. GámezGuzmánª, C. CruzHernándezª*, R.M. LópezGutiérrezb and E.E. GarcíaGuerrerob
ª Electronics and Telecommunications Department, Scientific Research and Advanced Studies Center of Ensenada (CICESE), Km. 107, Carretera TijuanaEnsenada, 22860 Ensenada, B. C, México.
b Faculty of Engineering, Baja California Autonomous University (UABC), Km. 103, Carretera TijuanaEnsenada, 22860Ensenada, B.C., México.
* Corresponding author:
CICESE, Electronics and Telecommunications Department,
P.O. Box 434944, San Diego, CA 921434944, USA,
Phone: +52.646.1750500, Fax: +52.646.1750554,
email: 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 2Dgrid scroll attractor families in masterslave configuration is studied numerically. In particular, we consider, for synchronization purposes, the chaos generator model of 3 x 3scroll 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. J49593Y and P50051Y, and by the UABC, México, under Research Grant No. 0465.
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