A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems
"In this paper, we consider characteristic polynomials of n-dimensional systems that determine a segment of polynomials. One parameter is used to characterize this segment of polynomials in order to determine the maximal interval of dissipativity and unstability. Then we apply this result to th...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2015 |
| País: | México |
| Institución: | Instituto Potosino de Investigación Científica y Tecnológica |
| Repositorio: | Repositorio Institucional del IPICYT |
| OAI Identifier: | oai:ipicyt.repositorioinstitucional.mx:1010/1713 |
| Acceso en línea: | http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1713 |
| Access Level: | acceso abierto |
| Palabra clave: | info:eu-repo/classification/Autor/Generalized chuas circuit info:eu-repo/classification/Autor/Multi-scroll info:eu-repo/classification/Autor/Synchronization info:eu-repo/classification/Autor/Equilibrium info:eu-repo/classification/Autor/Stability info:eu-repo/classification/cti/1 info:eu-repo/classification/cti/12 |
| Sumario: | "In this paper, we consider characteristic polynomials of n-dimensional systems that determine a segment of polynomials. One parameter is used to characterize this segment of polynomials in order to determine the maximal interval of dissipativity and unstability. Then we apply this result to the generation of a family of attractors based on a class of unstable dissipative systems (UDS) of type affine linear systems. This class of systems is comprised of switched linear systems yielding strange attractors. A family of these chaotic switched systems is determined by the maximal interval of perturbation of the matrix that governs the dynamics for still having scroll attractors." |
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