Título
A family of hyperchaotic multi-scroll attractors in Rn
Autor
Luis Javier Ortañón García Pimentel
Eric Campos Cantón
Eduardo Jiménez López
Michael Basin
Nivel de Acceso
Acceso Abierto
Identificador alterno
doi: https://doi.org/10.1016/j.amc.2014.01.134
Materias
Switched systems - (AUTOR) Piecewise-linear techniques - (AUTOR) Chaos theory - (AUTOR) Switching functions - (AUTOR) System design - (AUTOR) Piecewise-linear analysis - (AUTOR) Multi-scroll attractors - (AUTOR) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) MATEMÁTICAS - (CTI) MATEMÁTICAS - (CTI)
Resumen o descripción
"In this work, we present a mechanism how to yield a family of hyperchaotic multi-scroll systems in based on unstable dissipative systems. This class of systems is constructed by a switching control law changing the equilibrium point of an unstable dissipative system. For each equilibrium point presented in the system a scroll emerges. The switching control law that governs the position of the equilibrium point varies according to the number of scrolls displayed in the attractor. Thus, if two systems display different numbers of scrolls, they have different switching control laws. This paper also presents a generalized theory that explains different approaches such as hysteresis and step functions from a unified viewpoint, extending the concept of chaos in to hyperchaotic multi-scroll systems in . An illustrative example of synchronizing a communication system is given based on the developed theory."
Editor
Elsevier
Fecha de publicación
2014
Tipo de publicación
Artículo
Versión de la publicación
Versión enviada
Recurso de información
Formato
application/pdf
Sugerencia de citación
L.J. Ontañón-García, E. Jiménez-López, E. Campos-Cantón, M. Basin, A family of hyperchaotic multi-scroll attractors in Rn, Applied Mathematics and Computation, Volume 233, 2014, Pages 522-533.
Repositorio Orígen
Repositorio IPICYT
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