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Multistability in piecewise linear systems versus eigenspectra variation and round function
Héctor Eduardo Gilardi Velázquez
Luis Javier Ortañón García Pimentel
Diana Graciela Hurtado Rodríguez
Eric Campos Cantón
Acceso Abierto
Atribución-NoComercial-SinDerivadas
https://doi.org/10.1142/S0218127417300312
Multistability
Piecewise linear system
Eigenspectrum
Chaos
Multiscroll attractor
Round function
Bifurcation
"A multistable system generated by Piecewise Linear (PWL) subsystems based on the jerk equation is presented. The system’s behavior is characterized by means of the Nearest Integer or the round(x) function to control the switching events and to locate the corresponding equilibria on each of the commutation surfaces. These surfaces are generated through the switching function dividing the space into regions equally distributed along one axis. The trajectory of the system is governed by the eigenspectrum of the coefficient matrix, which can be adjusted by a bifurcation parameter. The behavior of the system can change from multiscroll oscillations in a mono-stable state into the coexistence of several single-scroll attractors in multistable states. The dynamics and bifurcation analysis are illustrated by numerical simulations to depict the multistable states."
World Scientific
2017
Artículo
H. E. Gilardi-Velázquez, L. J. Ontañón-García, D. G. Hurtado-Rodriguez and E. Campos-Cantón. (2017). Multistability in Piecewise Linear Systems versus Eigenspectra Variation and Round Function. International Journal of Bifurcation and ChaosVol. 27, No. 09, 1730031.
MATEMÁTICAS
Versión revisada
submittedVersion - Versión revisada
Aparece en las colecciones: Publicaciones Científicas Control y Sistemas Dinámicos

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