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

Autor(es)

Rodrigues, Hildebrando M. ^[1] ; Wu, Jianhong ^[2] ; Gameiro, Marcio ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF APPLIED ANALYSIS AND COMPUTATION; v. 1, n. 4, p. 537-547, 2011.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 08/53317-3 - Uma classe especial de equações diferenciais
• Beneficiário: Hildebrando Munhoz Rodrigues
• Modalidade de apoio: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 10/00875-9 - Métodos topológicos e numéricos rigorosos para bifurcações em sistemas dinâmicos
• Beneficiário: Marcio Fuzeto Gameiro
• Modalidade de apoio: Auxílio à Pesquisa - Regular