15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
SYNCHRONIZATION OF TWO HYPERCHAOTIC CHUA CIRCUITS: A GENERALIZED HAMILTONIAN SYSTEMS APPROACH
César Cruz-Hernández*,1 Cornelio Posadas-Castillo**
Hebertt Sira-Ramírez***
* Electronics and Telecommunications Department,
Scientific Research and Advanced Studies of Ensenada
(CICESE),
Km. 107, Carretera Tijuana-Ensenada, Ensenada, B. C., 22860,
México
** Faculty of Engineering Mechanic and Electrical (F.I.M.E.),
Nuevo León Autonomous University (U.A.N.L.),
Pedro de alba s/n Cd. Universitaria San Nicolás de los Garza
Nuevo León, México
*** Electrical Engineering Department,
Mechatronics Section
CINVESTAV-IPN, México
In this paper, we use a Generalized Hamiltonian systems approach to synchronize two unidirectionally coupled hyperchaotic Chua circuits. Synchronization is obtained of transmitter and receiver dynamics in case the receiver is given via an observer. We apply this approach to transmit digital information signals in which the quality of the recovered signal is higher than in traditional observer techniques while the encoding remains potentially secure.
Keywords: Synchronization, hyperchaotic Chua’s circuit, passivity based observers, secret communication
1Correspondence Author: César Cruz-Hernández, CICESE, Electronics & Telecom. Dept. P.O. Box 434944, San Diego, CA 92143-4944, USA Phone: +52.646.1750555, Fax: +52.646.1750554

E-mail: ccruz@cicese.mx
Session slot T-Th-A08: Chaos and synchronization/Area code 2c : Non-linear Systems