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A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems
BALTAZAR AGUIRRE HERNANDEZ
Eric Campos Cantón
JORGE ANTONIO LOPEZ RENTERIA
EDGAR CRISTIAN DIAZ GONZALEZ
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1016/j.chaos.2014.12.012
Generalized chuas circuit
Multi-scroll
Synchronization
Equilibrium
Stability
"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."
Elsevier
2015
Artículo
B. Aguirre-Hernández, E. Campos-Cantón, J.A. López-Renteria, E.C. Díaz González, A polynomial approach for generating a monoparametric family of chaotic attractors via switched linear systems, Chaos, Solitons & Fractals, Volume 71, 2015, Pages 100-106.
MATEMÁTICAS
Versión revisada
submittedVersion - Versión revisada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos

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