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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ROBUST SYNCHRONIZATION OF PARAMETRIZED NONAUTONOMOUS DISCRETE SYSTEMS WITH APPLICATIONS TO COMMUNICATION SYSTEMS

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Author(s):
Rodrigues, Hildebrando M. [1] ; Wu, Jianhong [2] ; Gameiro, Marcio [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencia Matemat & Comp, Dept Matemat Aplicada & Estat, BR-13560970 Sao Carlos, SP - Brazil
[2] York Univ, Lab Ind & Appl Math, Dept Math & Stat, Toronto, ON M3J 1P3 - Canada
[3] Univ Sao Paulo, Inst Ciencia Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION; v. 1, n. 4, p. 537-547, 2011.
Web of Science Citations: 1
Abstract

We study synchronization of a coupled discrete system consisting of a Master System and a Slave System. The Master System usually exhibits chaotic or complicated behavior and transmits a signal with a chaotic component to the Slave System. The Slave System then recovers the original signal and removes the chaotic component. To ensure secured communication, the Master and the Slave systems must synchronize independent of the variation of the systems parameters and initial conditions. Here we develop a general approach and obtain some general results for synchronization of such coupled systems naturally arising from discretization of well-know continuous systems, and we illustrate general results with two specific examples: the discretized Lorenz system and a discretized nonlinear oscillator. We also present some simulations using Mat Lab to illustrate our discussions. (AU)

FAPESP's process: 10/00875-9 - Topological methods and rigorous numerics for bifurcations of dynamical systems
Grantee:Marcio Fuzeto Gameiro
Support Opportunities: Regular Research Grants