Hybrid chaos synchronization and its application in information processing

Authors:
Qingxian Xie;Guanrong Chen;E. M. Bollt
Affiliations:
Department of Electrical and Computer Engineering University of Houston, Houston, TX 77204-4793, U.S.A.;Department of Electrical and Computer Engineering University of Houston, Houston, TX 77204-4793, U.S.A.;Department of Mathematics, U.S. Naval Academy Annapolis, MD 21402-5002, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

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Abstract

In this paper, through numerical studies, we explore a new methodology for chaos synchronization via a hybrid (generalized plus identical) synchronization. An arbitrary signal, generated by an unknown dynamical system, can be synchronized by the hybrid chaotic system. The signal can then be stored for future application such as password and message identification. Each finite-length signal can, in principle, be labelled and stored by a unique number, provided that the key hybrid system parameter used for the purpose is suitably chosen within a one-to-one mapping range. The new methodology enables us to encode an arbitrary signal accurately and efficiently. Sufficient numerical simulations are shown to verify the proposed design. Potential applications of the developed hybrid chaos synchronization system include information storage, message identification, and certain types of secure signal and image communication.