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Computación y Sistemas
On-line version ISSN 2007-9737Print version ISSN 1405-5546
Comp. y Sist. vol.9 n.3 Ciudad de México Jan./Mar. 2006
Artículos
Semiglobal Chaotification of One Class of nDimensional ContinuousTime Systems Via a TimeDelay Feedback
Caotificación Semiglobal de una Clase de Sistemas de nDimensiones de Tiempo Continuo a través Realimentación de Retardo
Konstantin Starkov and Oswaldo Cuen
Centro de Investigación y Desarrollo de Tecnología Digital (CITEDIIPN)
Av. del Parque, 1310, Mesa de Otay, Tijuana, BC, México
konst@citedi.mx ocuen@citedi.mx
Phone:01(664)6231344 Fax: (664)6231388
Article received on December 12, 2004; accepted on November 16, 2005
Abstract
A semiglobal chaotification problem of ndimensional polynomial continuoustime systems satisfying one special condition is examined. This problem is solved in two steps. Firstly, by using some polynomial mapping we transform the initial system to some nth order explicit scalar ordinary differential equation with a rational nonlinearity. On the second step we apply the anticontrol feedback proposed by Wang, Chen and Yu. Our results are applied to nonlocal chaotification of three systems: the Lorenz system, the BurkeShaw system and the Liu system.
Keywords: Polynomial systems, rational nonlinearity, chaos, anticontrol.
Resumen
En este artículo es examinado el problema de caotificación para sistemas polinomiales continuos de ndimensiones satisfaciendo una condición especial. Este problema es resuelto en dos pasos. Primero, a través del uso de un mapeo polinomial, se transforma el sistema inicial en una ecuación diferencial ordinaria escalar de orden n con una no linealidad racional. En el segundo paso se aplica el anticontrol por retroalimentación propuesto por Wang, Chen y Yu. Los resultados de caotificación no local son aplicados a tres sistemas, el sistema de Lorenz, el sistema de BurkeShaw y el sistema de Liu.
Palabras clave: Sistemas polinomiales, no linealidad racional, caos, anticontrol.
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