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Generation of multi-scroll attractors without equilibria via piecewise linear systems
RODOLFO DE JESUS ESCALANTE GONZALEZ
ERIC CAMPOS CANTON
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1063/1.4983523
Implementatio
Circuit
Chaos
"In this paper, we present a new class of dynamical system without equilibria which possesses a multiscroll attractor. It is a piecewise-linear system which is simple, stable, displays chaotic behavior and serves as a model for analogous non-linear systems. We test for chaos using the 0-1 Test for Chaos from Gottwald and Melbourne [SIAM J. Appl. Dyn. Syst. 8(1), 129–145 (2009)]. Piecewise-linear (PWL) systems are switching systems composed of linear affine subsystems along with a rule which determines the acting subsystem. These systems are known to be capable of producing chaotic attractors, as in the well studied Chua's circuit. This paper discusses the generation of multiscroll attractors without equilibria based on PWL systems."
American Institute of Physics
2017-05
Artículo
R. J. Escalante-González, E. Campos-Cantón, and Matthew Nicol. (2017). Generation of multi-scroll attractors without equilibria via piecewise linear systems. Chaos 27, 053109. ©2017 AIP Publishing
MATEMÁTICAS
Versión publicada
publishedVersion - Versión publicada
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