Abstract and Applied Analysis
Volume 2013 (2013), Article ID 398293, 13 pages
http://dx.doi.org/10.1155/2013/398293
Research Article

Nonlinear Filtering Preserves Chaotic Synchronization via Master-Slave System

J. S. González-Salas,1 E. Campos-Cantón,2 F. C. Ordaz-Salazar,1 and E. Jiménez-López3

1Academia de Matemáticas, Universidad Politécnica de San Luis Potosí , Urbano Villalón 500, 78369 San Luis Potosí, SLP, Mexico
2División de Matemáticas Aplicadas, Instituto Potosino de Investigación Científica y Tecnológica, Camino a la Presa de San José 2055, 78216 San Luis Potosí, SLP, Mexico
3Departamento de Físico Matemáticas, Universidad Autónoma de San Luis Potosí, Alvaro Obregón 64, Col. Centro 78000 San Luis Potosí, SLP, Mexico

Received 17 December 2012; Revised 26 February 2013; Accepted 6 March 2013

Academic Editor: H. G. Enjieu Kadji

Copyright © 2013 J. S. González-Salas et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a study on a class of interconnected nonlinear systems and give some criteria for them to behave like a filter. Some chaotic systems present this kind of interconnected nonlinear structure, which enables the synchronization of a master-slave system. Interconnected nonlinear filters have been defined in terms of interconnected nonlinear systems. Furthermore, their behaviors have been studied numerically and theoretically on different input signals.